ࡱ> `bYZ[\]^_WY[]z x l '` bjbjDD *&&S'(((((((<d&d&d&8&d($ <Pd05l6(667888OOOOOOO$RhTv@O(˰88˰˰@O((67O˰p(6(7O˰O((R6$5 бo -d&;p,O0P&,aUvaURRTaU(H8+ed0B888@O@O!j888P˰˰˰˰<<<<<<<<<(((((( MACROECONOMIC PRINCIPLES (ECON. 161) INTRODUCTION AND REVIEW ECONOMICS is a social science that examines how a society uses its limited resources to satisfy unlimited wants. RESOURCES land (natural resources), labor (human), and capital (man made durable inputs). SCARCITY wants > resources (or ability to satisfy wants at zero price) scarcity => choice => trade-offs and competition OPPORTUNITY COSTS giving up something of value. The benefits of the highest valued alternative. The opportunity cost of holding cash is the interest rate. PRIVATE PROPERTY RIGHTS are needed for markets to work. These ownership rights allows individuals to control how resources are used. They can modify, trade, and exclude people from using the resource. The owner captures are gain or loss in resource value. This influences the incentives owners face. MARKETS institutional arrangement that enables buyers and sellers to get together in order to exchange goods and services. Prices are determined in markets. Prices provide information and incentives that influence behavior. Markets help move resources to their highest valued use. Markets result in decentralized decisions rather than a central plan. There is a better use of distributed information and knowledge. MICROECONOMICS the study of how household and firms make decisions and how they interact in markets. MACROECONOMICS the study of economy-wide phenomena, including inflation, unemployment, and economic growth. Economic growth and fluctuations. What caused the current recession? What are monetary and fiscal policies? How do they work? The last 2 recessions occurred 7 / 90 (peak) 3 / 01 (trough) and 3 / 01 (peak) 12 / 01 (trough). The most recent economic peak was 12/07. That is when the current recession began. The economy appears to have reached a trough during the 3rd quarter of 2009 where real GDP increased 2.8 percent. The average growth in the first quarter of a recovery during the post WW II period is 3.5 percent.  Notice it trends upward over time (long-run economic growth), but it is not a smooth process (short-run economic fluctuations or business cycle) Sources of growth include technological change, capital accumulation, human capital, private property rights, and trade. Sources of business cycles include monetary policy, energy price changes, financial panics, and events like 9/11. These are all called shocks to the economy causing the economy to move away from its long-run trend. Example of a SHOCK - Energy Prices  Oil prices often increase before a recession. SUPPLY AND DEMAND (chapter 4) Competitive short-run market DEMAND shows the various amounts of a good or service an individual is willing to purchase at all possible prices. Holding other things constant. Held constant are: 1. Buyers income an increase (decrease) in income that increases (decreases) demand is a normal good. Its the reverse for an inferior (low quality) good. 2. Prices of related goods. Substitute goods two goods that satisfy the same purpose. When the price of chicken goes up (reducing the quantity demanded of chicken), the demand for beef increases. Complementary goods two goods that are consumed jointly. When the price of peanut butter goes up (reducing the quantity demanded of peanut butter), the demand for jelly decreases. 3. Tastes if you like something more, demand increases. An apple a day keeps the doctor away, increases the demand for apples. 4. Expected prices if you think the price of a TV will be lower next week, you will wait until next week to buy a new TV. Todays demand for TVs decreases. Other examples are coffee and crude oil. 5. Other weather, number of buyers, usefulness, etc. Price per unit = P, Qd = quantity demanded per unit of time, Qs = quantity supplied per unit of time, D = demand, and S = supply Demand and Supply Table: P Qd Qd2 Qs $5 2 mil. 3 6 mil. $4 3 4 5 $3 4 5 4 $2 5 6 3 $1 6 7 2 Plot P and Qd Law of demand there is an inverse relationship between price and quantity demanded. Why? 1. Diminishing subjective marginal valuation results in a decrease in willingness to pay. 2. Substitution effect as the relative price increases (Px/Py, wheat/corn = $4/$2 = 2 so wheat is twice as valuable as corn or 2 corn trades for 1 wheat, $6/$2 = 3 now wheat is three times as valuable as corn or 3C = 1W), you buy less of the relatively more expensive good. Income effect as the price increases, your real income (income/price, $100/$2 = 50 units, $100/$4 = 25 units) falls, reducing purchasing power and quantity demanded. CHANGES IN DEMAND vs. CHANGES IN QUANTITY DEMANDED MARKET DEMAND CURVE is the horizontal sum of the individual demand curves. SUPPLY shows the various amounts of a good or service individuals are willing to sell at all possible prices. Holding other things constant. Held constant are: 1. Input prices higher input prices increase the cost of production, decreasing supply (shifts left). 2. Technology an improvement in technology results in producing the same output at a lower cost or more output at the same price increase supply (shifts right). 3. Number of sellers an increase in the number of sellers increases supply. 4. Expected prices higher prices in the future reduces supply today. 5. Other taxes and subsidies. The supply curve shows the profit-maximizing behavior of sellers. It reflects the increasing marginal cost of production. PLOT SUPPLY CURVE CHANGES IN SUPPLY vs. CHANGES IN QUANTITY SUPPLIED Market supply curve is the horizontal sum of individual supply curves. Comparative statics start in equilibrium, change one factor at a time (shock the system), find new equilibrium, and compare equilibriums. Most of the models we will look at (in this class) are comparative static models. Market equilibrium price where Qs = Qd, the market clears, balance between buyers (who want a good deal, a low price) sellers (who want a good deal, a high price), market tends to adjust to the equilibrium. Efficient allocation of resources that maximizes buyers and sellers gains from trade. Prices provide information and incentives that influence behavior. EQUILIBRIUM excess demand: PQs P rises excess supply: P>P* Qd IE, then an increase in wages increases the quantity of labor supplied. Labor supply curve = SL Shifting SL due to a change in LFPR or increased population Labor market equilibrium: UNEMPLOYMENT: The Dept. of Labor Bureau of Labor Statistics conducts a monthly survey of 60,000 households (its not always the same households, about 1/3 are drop each month). Are you in the labor force and have a job? 1. You have to be 16 years of age or older to be counted. 2. Employed full or part-time. 3. If unemployed, you must be actively seeking employment, or waiting to start a new job, or temporary lay-off expecting recall. Labor force = employed + unemployed = LF = L + U Unemployment Rate = U = (# of unemployed / LF) * 100 Unemployment Data Series Id:LNS14000000 Seasonally Adjusted Series title:(Seas) Unemployment Rate Labor force status:Unemployment rate Type of data:Percent or rate Age:16 years and over Top of Form Download:  HTMLCONTROL Forms.HTML:Image.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  HTMLCONTROL Forms.HTML:Hidden.1  Bottom of FormYearJanFebMarAprMayJunJulAugSepOctNovDecAnnual20004.04.14.03.84.04.04.04.13.93.93.93.920014.24.24.34.44.34.54.64.95.05.35.55.720025.75.75.75.95.85.85.85.75.75.75.96.020035.85.95.96.06.16.36.26.16.16.05.85.720045.75.65.85.65.65.65.55.45.45.55.45.420055.35.45.25.25.15.05.04.95.05.05.04.920064.74.84.74.74.64.64.74.74.54.44.54.420074.64.54.44.54.44.64.64.64.74.74.75.020085.04.85.15.05.45.55.86.16.26.66.97.420097.78.28.68.99.49.59.49.79.810.110.010.020109.79.79.79.99.79.5   The U is a lagging indicator of the business cycle. U = 100 / 1000 = .10 = 10% Now suppose 20 people enter the labor force because they expect the economy to improve but dont have jobs yet. U = 120 / 1020 = .118 = 11.8% The percentage increase in the numerator is greater than the percentage increase in the denominator, even thought the numerical increase is 20 for both. U increases. It can work the other way as well. When unemployed people leave the labor force the unemployment rate declines. Facts: 1. U men approximately equal to U women 2. U teenagers > U 3. U blacks > U whites Labor force participation rate = LFPR = (LF / population) * 100 (usually around 67%) Facts: 1. LFPR women < LFPR men 2. LFPR teenagers < LFPR total (school) 3. LFPR blacks < LFPR whites See Figure 3 page 308. NATURAL RATE OF UNEMPLOYMENT = the normal (or long-run) rate of unemployment around which the actual unemployment rate fluctuates. Cannot observe it (we estimate it) and its between 4% and 6%. The level of unemployment when there is no shocks to the economy, long-run general equilibrium in all markets. It has declined during the 1990s because the baby boomers are well matched with their jobs. CYCLICAL UNEMPLOYMENT = the deviation of unemployment from the natural rate. See Figure 2 page 307. Why is U > 0 ? Labor markets are not perfect. Frictional Unemployment = that results because it takes time for workers to search for jobs that best suits their tastes and skills. Job search dynamic process of matching workers with the appropriate job. Workers have different skills, education, experience, and tastes. Jobs have different attributes. Since information is costly to acquire and imperfect, it takes time to match the right person to the right job. A good fit increases productivity. Younger workers often change jobs until a good fit is found (from the employee and employer point of view) Unemployment insurance lengthens search. Higher U but better fits. Structural Unemployment = results because the number of jobs available in some labor markets is insufficient to provide a job for everyone who wants one (given their education and skills). Wages are rigidly set above the equilibrium wage. This is due to the minimum wage, unions (contracts and wage premium), and efficiency wages. Rigid wages (due to minimum wage or a contract) with a decrease in demand. Note the larger decrease in employment, compared to the flexible wage case. Efficiency Wages: Higher wages -> higher productivity -> higher profits Dont cut wages because it lowers productivity and profits. Wages end up being higher than the equilibrium wage causing unemployment. Greater productivity lowers costs offsetting the wage increase. The higher wage higher productivity link occurs because of better health (LDCs), lower turnover, and improved work effort (less shirking because if you lose your job, you will be unemployed for a while because the efficiency wage is above the equilibrium wage). Famous example: Henry Ford doubled the wage to $5 per day in 1914. Everyone thought he was nuts to do it. As a result, job turnover fell, absenteeism declined, productivity rose, and cost fell. PRODUCTION AND ECONOMIC GROWTH (chapter 12) We measure economic development by y / pop. Economic growth is measured by the percentage change in y / pop, or its growth rate. See Table 1 page 243. Productivity The amount of goods and services produced from each hour of a workers time. Aggregate Production Function: y = Af(L, K, H, N) L = labor = number of workers used to produce goods and services. K = physical capital = stock of equipment and structures used to produce goods and services. H = human capital = knowledge and skills that workers acquire through education, training, and experience. N = natural resources = land, rivers, and minerals used to produce goods and services A = technological knowledge = total factor productivity = understanding of the best ways to produce goods and services. Constant returns to scale allows us to re-write the production function. y / L = Af(L / L, K / L, H / L, N / L)   REAL SIDE OF ECONOMY: y = Af(K, L) Graphical version holding K constant then holding L constant. A = TFP which can change over time shifting the production function. Combine aggregate production function with labor market. Show the impact of an increase in A on y, w, and L Show how diminishing returns to K occurs, holding other things constant as K increases. Growth slows down. Convergence of economies to the same y/pop. This assumes all other factors are the same. Factors that influence growth: (other things constant) 1. Greater saving increases investment that increases K, raising a countrys standard of living. This may have limits. See Figure 1 page 250. You need a well developed financial system for this to work effectively at low cost. More on this later in the class. Countries with more highly developed financial systems (banks, bond markets, stock markets) grow faster. 2. Private property rights that are clearly defined and enforce by the courts. Gives people the ability to exercise authority (and control) over the resources they own. You can modify or trade them. If you improve the value, you capture the gains (incentive effect). You will also capture losses. Responsibility influences behavior. Business is nothing more than a series of contractual arrangements. Contract enforcement also important. De Soto estimates that untitled (dead) capital in the developing world is worth $ 10 trillion. If they had legal title to this capital, it could be use as collateral for bank loans to expand businesses. Big problem. source: Hernando De Soto The Mystery of Capital Plymouth Colony and the Pilgrims: Wanted religious freedom. Establishing a colony was approved but required private financing. Agreed that everything would be divided equally between investors and colonists after 7 years. All production was common wealth. Pilgrims wanted limited private plots and time to work it. Investors said no, they couldnt monitor pilgrims from so far away. Feared they would put their best effort into private rather than common production. The investors felt that this arrangement would at least ensure they would get something out of the risky venture. Pilgrims had little choice if they wanted financing. Landed 11 / 1620 - communal property, everyone gets an equal share whether they work or not (communism). Costly to monitor leads to free riding and low output. By the Spring of 1623 could barely feed themselves with little being return to the investors back in England. It was reported people where unwilling to work (a free-rider problem). Biggest conflict was between Pilgrims, not Pilgrims and investors as many say. It was a commercial failure. Established private property rights by privatizing the land. Now colonists are responsible for their own actions. Created incentives to work and be productive. Production expanded and it became a commercial success. Source: Tom Bethell How Private Property Saved the Pilgrims, and William Bradfords OF PLYMOUTH PLANTATION This is the same reason the Soviet Union did not work. There is a strong empirical relationship between private property rights and economic development. 3. Free trade in goods and assets. International trade increases competition, improves efficiency (drives inefficient firms out), provides cheaper goods, increases variety of goods, and import new technology embodied in goods. International investment has many of the same effects on the economy. Countries that open up to the world grow faster and have higher y / pop. 4. Education increases human capital 5. R & D investments that result in new ideas. Creates new products or better ways to produce old products. Technological is one of the most important sources of growth. Again, think about property rights. 6. Political stability reduces uncertainty and makes property rights more secure. CAPITAL or FINANCIAL MARKETS (chapters 13 and 14) The financial system is made up of institutions that match savers with investors. The interest rate coordinates the behavior of these two groups. 1. Financial and capital markets 2. Financial institutions 3. Central bank (Federal Reserve System in the U.S.) SAVERS ( FINANCIAL SYSTEM (or intermediation) ( INVESTORS (EXP. < INCOME) (EXP > INCOME) Direct intermediation - stock and bond markets Indirect intermedition financial institutions (banks, credit unions, mutual funds, and insurance companies) Bonds certificates of indebtedness specifies the obligations of the borrower to the holder of the bond (IOU or debt instrument). Date of maturity is time loan is repaid. Interest rate is paid periodically. Principle is the amount borrowed. The characterisitcs are term (length of time to maturity increase time increase interest rate if investors prefer short term lending over long term lending), credit risk (probability of default increase risk increase interest rate, risk premium equals the difference between the interest on the bond interest on a similar treasury bond (some of the difference may be due to information, liquidity, or tax factors), and taxes (paying taxes raises interest rates, municipal bonds are exempt from federal, state, and local taxes so they can borrow at a lower rate). Debt finance. If a recession is expected, the risk premium rises as investor shift to safer investments (flight to quality). Information is provided by bond ratings (Standard and Poors, Moodys). For example, on 8/15/03 with a maturity of less than 10 years, the average interest rate on Treasury borrowing was 2.43%. For high quality corporate borrowers (same maturity), the average rate was 3.64%. The risk premium was 1.21%. For medium quality companies, the average rate was 4.47% (risk premium was 2.04%). Liquidity and cost of getting info can influence the spread. Less liquidity and more costly info raises the interest rate spread. Stock market represents ownership in the firm (claim to partial owership in a firm). Equity finance has higher risk, so it pay a higher return. Both stock and bond prices determined by supply and demand. Expectations pay an important role in determining asset prices. Financial institutions do a number of important things. 1. Pool funds of savers 2. Specialize in collecting information on borrowers and their projects. Good a analyzing it. Finance is no longer tied to family or personal relationships. 3. Diversification that lowers risk. Banks accept deposits and make loans (more about banks later). SUPPLY AND DEMAND FOR LOANABLE FUNDS Supply lenders or savers Demand borrowers or investors Real interest rate r coordinates the behavior of these two groups. i = r + expected inflation We will determine inflation and i later. Equilibrium r where S = I GRAPH: S = I Assume a closed economy. Y = C + I + G Y C G = I S = I (national or total saving = national or total investment) T = net taxes = taxes transfer payments S = PRIVATE SAVING + PUBLIC SAVING S = Y C G (+ / - T) = Y C G T + T S = (Y T C) + (T G) Public Saving: T G = taxes transfers G T < G ( TAXES < TRANSFERS + G => GOVERNMENT DEFICIT or NEGATIVE PUBLIC SAVING T > G => GOVERNMENT SURPLUS or POSITIVE PUBLIC SAVING Increasing taxes increases public saving. Increasing transfers or government purchases of goods and services reduces public saving. Private Saving: Y T C = INCOME TAXES (-TRANSFERS) C = INCOME - TAXES + TRANSFERS - C Increasing taxes and consumption reduces private saving and increasing income and transfers increases private saving. Demand for loanable funds: Mostly private investment demand by firms (It is sometimes referred to as the investment curve). It is negatively related to r. If the firm has to borrow the funds, higher r increases borrowing costs making more projects look less economic, so I falls. Project return > r , undertake investment. Project return < r dont. Rank all projects by return (as you increase I, MPK or project return falls), invest until project return equals r. If the firm has retained earnings, the r is the opportunity cost of investing in the firm, versus lending out in the market. Same basic results. 1. Changes in technology (raising the MPK) increases investment. More investment projects look economic. 2. Tax cuts directed at investment can raise the after-tax MPK [(1 t) MPK], increasing I. Reductions in the corporate income tax, an investment tax credit (lowers capital cost), or faster depreciation of capital (expensing) all raise the after tax MPK, shifting the demand to the right. Since many small businnesses pay the income tax, cuts in the income tax can increase small business investment. (1 - .25)10 = .75 * 10 = 7.50 vs. (1 - .20)10 = .80 * 10 = 8 -> higher after-tax return on the project. 3. Higher uncertainty about the future lowers I. Think of 9/11. Example: Higher MPK shifts the demand for loanable funds to the right. The result is a higher r and higher S = I. Supply of Loanable Funds: 1. Increase r increases the quantity of loanable funds supplied. As r increases, consumption in the present gets more expensive (you give-up more future consumption), so you reduce present consumption (save more) that will result in higher future consumption. This is a substitution effect. Higher interest rates increase the wealth of savers and reduces the wealth of borrowers (since lending = borrowing in a closed economy), the net wealth effect is zero. Graph of a supply of loanable funds curve. 2. Consumption smoothing people try to maintain an even or growing consumption path over time. Temporally changes in income is saved (or much of it), to smooth consumption, while permanent changes are consumed so saving doesnt change. Increase in current income only -> increase saving Increase in future income only -> decrease saving Evidence: A large portion of tax (cash) rebates are saved rather than consumed because they represent temporary increases in income. On 6/7/01, President Bush signed into law a tax rebate up $ 300 ($ 600) for an individual (married couple). A survey showed only 21.8 % of the people survey reported that they actual increased consumption. Most saved it. Note, this was Congresss idea, not the Presidents. 3. Increase in G only -> decrease saving S1 = (Y T C) + (T G1) > S2 = (Y T C) + (T G2) where G2 > G1 Shifting the supply of loanable funds curve. 4. Tax cuts will generally reduce the supply of loanable funds. S = (Y T C) + (T G) = (10 2 5) + (2 2) = 3 + 0 = 3 We have assumed people consume .5 of income. Now cut taxes by 1. Generally people will consume part of the tax cut and save part of it. = (10 1 5.50) + (1 2) = 3.50 1 = 2.50 S has fallen by $.50. Private saving increased by $.50 but public saving has decreased by $1. The net result is a $.50 reduction in national saving. The reduction in S causes the interest rate to rise lowering S = I. The higher r increases private quantity saved and decreases investment. This is referred to as the crowding-out effect. Lower I results in less capital formation, adversely impacting on growth. GRAPH: HISTORICAL BUDGET DATA Table F-2. Revenues, Outlays, Surpluses, Deficits, and Debt Held by the Public, 1969 to 2008(Percentage of gross domestic product) Deficit (-) or SurplusDebtOn-SocialPostalHeld byRevenuesOutlaysBudgetSecurityService Totalthe Publica196919.719.4-0.10.40.00.329.3197019.019.3-0.90.60.0-0.328.0197117.319.5-2.40.30.0-2.128.1197217.619.6-2.20.30.0-2.027.4197317.618.7-1.20.00.0-1.126.0197418.318.7-0.50.1-0.1-0.423.9197517.921.3-3.50.1-0.1-3.425.3197617.121.4-4.0-0.2-0.1-4.227.5197718.020.7-2.5-0.20.0-2.727.8197818.020.7-2.5-0.20.0-2.727.4197918.520.1-1.6-0.10.0-1.625.6198019.021.7-2.70.00.0-2.726.1198119.622.2-2.4-0.20.0-2.625.8198219.223.1-3.7-0.20.0-4.028.7198317.423.5-6.00.00.0-6.033.0198417.322.1-4.80.00.0-4.834.0198517.722.8-5.30.20.0-5.136.3198617.522.5-5.40.40.0-5.039.5198718.421.6-3.60.40.0-3.240.6198818.121.2-3.80.80.0-3.140.9198918.321.2-3.81.00.0-2.840.6199018.021.8-4.81.00.0-3.942.0199117.822.3-5.40.90.0-4.545.3199217.522.1-5.50.80.0-4.748.1199317.521.4-4.60.70.0-3.949.4199418.121.0-3.70.80.0-2.949.3199518.520.7-3.10.80.0-2.249.2199618.920.3-2.30.90.0-1.448.5199719.319.6-1.31.00.0-0.346.1199820.019.2-0.31.20.00.843.1199920.018.60.01.40.01.439.8200020.918.40.91.60.02.435.1200119.818.5-0.31.60.01.333.0200217.919.4-3.11.50.0-1.534.1200316.520.0-5.01.40.0-3.536.2200416.319.9-4.91.30.0-3.637.3200517.620.2-4.01.40.0-2.637.5200618.520.4-3.31.40.0-1.937.1200718.820.0-2.51.40.0-1.236.9200817.720.9-4.51.30.0-3.240.8 Table F-1. Revenues, Outlays, Surpluses, Deficits, and Debt Held by the Public, 1969 to 2008(Billions of dollars) Deficit (-) or SurplusDebtOn-SocialPostalHeld byRevenuesOutlaysBudgetSecurityService Totalthe Publica1969186.9183.6-0.53.70.03.2278.11970192.8195.6-8.75.90.0-2.8283.21971187.1210.2-26.13.00.0-23.0303.01972207.3230.7-26.13.1-0.4-23.4322.41973230.8245.7-15.20.5-0.2-14.9340.91974263.2269.4-7.21.8-0.8-6.1343.71975279.1332.3-54.12.0-1.1-53.2394.71976298.1371.8-69.4-3.2-1.1-73.7477.41977355.6409.2-49.9-3.90.2-53.7549.11978399.6458.7-55.4-4.30.5-59.2607.11979463.3504.0-39.6-2.00.9-40.7640.31980517.1590.9-73.1-1.10.4-73.8711.91981599.3678.2-73.9-5.0-0.1-79.0789.41982617.8745.7-120.6-7.90.6-128.0924.61983600.6808.4-207.70.2-0.3-207.81,137.31984666.5851.9-185.30.3-0.4-185.41,307.01985734.1946.4-221.59.4-0.1-212.31,507.31986769.2990.4-237.916.70.0-221.21,740.61987854.41,004.1-168.419.6-0.9-149.71,889.81988909.31,064.5-192.338.8-1.7-155.22,051.61989991.21,143.8-205.452.40.3-152.62,190.719901,032.11,253.1-277.658.2-1.6-221.02,411.619911,055.11,324.3-321.453.5-1.3-269.22,689.019921,091.31,381.6-340.450.7-0.7-290.32,999.719931,154.51,409.5-300.446.8-1.4-255.13,248.419941,258.71,461.9-258.856.8-1.1-203.23,433.119951,351.91,515.9-226.460.42.0-164.03,604.419961,453.21,560.6-174.066.40.2-107.43,734.119971,579.41,601.3-103.281.30.0-21.93,772.319981,722.01,652.7-29.999.4-0.269.33,721.119991,827.61,702.01.9124.7-1.0125.63,632.420002,025.51,789.286.4151.8-2.0236.23,409.820011,991.41,863.2-32.4163.0-2.3128.23,319.620021,853.42,011.2-317.4159.00.7-157.83,540.420031,782.52,160.1-538.4155.65.2-377.63,913.420041,880.32,293.0-568.0151.14.1-412.74,295.520052,153.92,472.2-493.6173.51.8-318.34,592.220062,407.32,655.4-434.5185.21.1-248.24,829.020072,568.22,728.9-342.2186.5-5.1-160.75,035.120082,523.62,978.5-638.1180.23.0-454.85,802.9 YearTotal DeficitTotal Deficit/GDP2008-4593.2%2009-1,58711.2%2010-1,3819.6% Source: Congressional Budget Office downloaded 12.18.09. 2008 is actual data and 2009-2010 are projected.   RICARDIAN EQUIVALENCE: a reduction in taxes (lump sum) holding other things constant results in an offsetting decrease in public saving and increase in private saving. This occurs because the tax cut substitutes taxes today for debt and higher taxes in the future. People expect higher future taxes (to pay off debt and interest) so they save all the tax cut and earn interest on it that they can use to pay the higher taxes. If you reduce taxes by $1 today (borrow $1), then you must raise taxes by $(1 + r) to repay debt equal to $1 + r. National saving doesnt change so there is no shift in the supply of loanable funds. No interest rate effect. A tax cut of $1, holding other things constant, doesnt change S. S = (10 1 5) + (1 2) = 4 1 = 3 Same as before. Deficit has no impact on r. People who are liquidity constrained (maybe 40% of U.S. consumers) will consume some or all of the tax cut, then r will increase In an open economy where we can borrow on global markets, deficits will have little or no impact on r. This is what is happening in the U.S. today. Suppose a country can borrow and lend all they want at the world r (rw = r). A reduction in S due to a deficit will not push interest rates up. The country simply borrows from the rest of the world. No crowding out effect. If there is an investment boom, r doesnt rise because we borrow from the rest of the world. Finance (chapter 14) Present Value the time value of money Which would you rather have, $1 today or $1 in one year? How do you compare dollar payments or receipts at different points in time? PV = present value FV = future value r = real interest rate (ignore inflation) SIMPLE COMPOUNDING $1,000 loan, at r = 10% = .10, for 1 year FV = $1,000 + $1,000 (.10) = $1,000 (1 + .10) = $1,000 + $ 100 = $ 1,100 FV = $X (1 + r) What is $1,100 paid to you in one year worth today (r = .10)? We discount the $1,100 back to the present by dividing by (1 + r) Since 1000 (1 + .10) = 1100, then 1100/(1 + .10) = 1000 PV = $X / (1 + r) PRESENT VALUE = the amount of money today that would be needed to produce, using prevailing interest rates, a given future amount of money. It depends upon the interest rate. There is an inverse relationship between r and PV. 1000/1.10 = 909.09 1000/1.05 = 952.38 The r is lower, so you need to invest a larger amount in order for it to grow and be equal to 1000 in one year. 1000/1.15 = 869.57 TWO YEAR EXAMPLE: 1000, r = .10, 2 years 1000(1.10) = 1100 reinvest principle and interest for another year 1100(1.10) = 1210 Since 1100 = 1000(1.10), we can re-write it as 1000(1.10)(1.10) = 1000(1.10)**2 = 1210 FV = $X(1 + r)**2 PV = $X/(1 + r)**2 In general: FV = $X(1 + r)**n PV = $X/(1 + r)**n What is the present value of !000 paid in one year and 1000 paid in two years? A stream of payments. PV = 1000/1.10 + 1000/(1.1)**2 = 909.09 + 826.45 = 1735.54 With continuous compounding we have PV = $Xe**-rt and FV = $Xe**rt Capital Investment Example: Think about an investment project at a business. Suppose it costs $1000 today and pays you $1100 in one year. After a year, the machine has no value and generates no revenues. Should you do it? Only if it is profitable. The PV of the payoff must be greater than the up front cost. The PV of $1000 today equals $1000. $1100/(1 + r) > $1000 If r = .15 then 1100/1.15 = 956.52 =>> no If r = .05 then 1100/1.05 = 1047.62 =>> yes State Lottery: You win the state lottery of $2 million. The state will pay you $100,000 per year for 20 years. What is the present value of this stream of payments? Assume i = .10 PV = $100,000 + $100,000/(1 + i) + $100,000/(1 + i)**2 + + $100,000/(1 + i)**20 = $936,492 Less than half the stated value. Debt: There are four major debt instruments. They include simple loans, discount bonds, coupon bonds, and fixed payment loans. You will learn more about these in finance or money and banking. Coupon bonds: the borrower issuing a coupon bond makes multiple payments of interest at regular internals (semiannually or annually) and repays the face value (amount initially borrowed) at maturity. The bond price reflects the present value of the payment stream. The yield to maturity (the interest rate) is the value of i that equates the bond price to the payment stream. Changes in i cause the market price to differ from the bonds face value (initial value). P > PV ( Dont buy which lowers demand lowering the price. P < PV ( Buy which increases demand raising the price. Tendency in the market for P = PV. There is a negative relationship between bond prices and i. As i increases, the present value of the payment stream falls, which lowers the market value or price. The easiest way to see this is by looking at a discount bond. For a discount bond (they tend to be short term) is sold at a price below its face value. The interest earned or return is the percentage difference between what you pay for the bond and it face value at maturity. Face value = $1000 Purchase price = $900 The return = ($1000 - $900) / $900 = $100 / $900 = .11 Now suppose the demand for these bonds increase so the purchase price rises to $950. The return = ($1000 - $950) / $950 = $50 / $950 = .05 RISK AVERSION Exhibiting a dislike of uncertainty. Dislike bad things more than they like comparable good things. The reduction in utility that results from a bad event is greater in magnitude then the increase in utility that results from a comparable good event. Flip a coin, heads you get $1000 and tails you pay $1000. A risk averse person wouldnt take this gamble. Pain from losing greater than the gain from winning. Utility = subjective measure of satisfaction. Because of diminishing marginal utility, the reduction in utility is larger than the increase (U = f(wealth)). Risk aversion helps to explain insurance, diversification, and the risk-return trade-off. A. INSURANCE you can pay a fee to an insurance company, which agrees to bear all or part of the risk. Insurance DOES NOT ELIMINATE RISK IN THE ECONOMY, ITS EFFICIENTLY SPREADS IT AROUND. Owners of the insurance companies now bear the risk. Insurance companies further spread the risk by selling policies to re-insurance companies. PROBLEMS: 1. Adverse Selection high-risk person is more likely to apply for insurance than a low risk person. Sick people want health insurance more than healthy ones. 2. Moral Hazard after a person buys insurance, they have less incentive to be careful about their risky behavior. These two problems make insurance more expensive, some low-risk people do not buy it. B. DIVERSIFICATION OF IDIOSYNCRATIC RISK You can reduce total risk in a portfolio by holding a large number of small risks or stocks. Total risk = systematic risk + non-systematic risk Non-systematic risk can be diversified away! risk = std. deviation = volatility vertical axis measures risk (S.D.) as a percentage of a single typical U.S. stock. (portfolio risk / risk from 1 stock) A portfolio of 1 stock = 100% risk = 1 (portfolio risk = risk of the one stock) As you increase the number of stocks in your portfolio, the risk falls bottoming out around 20 stocks. A portfolio of 20 stocks risk is about 27% of a portfolio of 1 stock. You reduce your total risk by 73%! If you diversify globally, a portfolio of 20 stocks risk falls to 11.7% of 1 stock. C. RISK/RETURN TRADEOFF Risk averse people require compensation for holding risk. Increase stock portfolio share, increases risk and return. ASSET (stocks) VALUATION Compare the actual market price to a companys valuation. Value = PV of future dividend payments and final sales price f(profits). One-period example: Pt = (EDt+1 / 1 + i) + (EPt+1) / 1 + i) The price of a stock at the end of period t (Pt ) equals the expected dividend next period (EDt+1) plus the expected price at the end of the next period (EPt+1) discounted back to the present (1 + i) at risk adjusted interest rate i. There is a degree of subjectivity in it. The subscript is a time index. If the subscript equals t, that is the current period or year. If it equals t+1 it is next year. If it equals t-1 it is last year. A higher expected dividend or price causes Pt to rise. A lower i due to falling rates or less risk causes Pt to rise. Example: Suppose the expected dividend is $.16 per share. The expected price is $60 per share and the current price is $50 per share. Assume i = 12%. PV = .16/1.12 + 60/1.12 = .14 + 53.57 = $53.71 Undervalued or just different expectations by other investors? Suppose the current price equals the value and bad news lowers the expected price to $55, what happens to the value and current price? PV = .16/1.12 + 55/1.12 = .14 + 49.11 = $49.25 There are a number of models used to price stocks. If you take more finance you will learn about them. P > VALUE => OVERVALUED P < VALUE => UNDERVALUED P = VALUE => FAIRLY VALUED VALUE? You can do it yourself or buy it. Purchase a mutual fund results in a diversified portfolio. they do the analysis in order to determine stock values. EFFICIENT MARKET HYPOTHESIS: Asset prices reflect all publicly available information about the value of the asset. Stocks are generally fairly valued. Many companies and people follow stocks. BUY if P < VALUE (which has a degree of subjectivity) SELL if P > VALUE In equilibrium, stock price adjusts until Qs = Qd or number of people who think stock is overvalued (want to sell) = number of people who think stock is undervalued (want to buy) ( tendency for stock price to reflect fair value reflecting all available information in a rational way (informationally efficient) This happens very fast. Qs > Qd price falls Qs < Qd price rises. New info is quickly incorporated into the stock price. Good news raises the stocks price. ( stock prices follow a random walk, because news about a stock arrives randomly, price movements are random and unpredictable. This is a good approximation of how the market works. It is difficult to CONSISTENTLY beat the market. Actively managed as opposed to indexed mutual funds. Better off with indexed funds (lower management fees important). Even funds do not consistently beat the market. Was the 1990s a bubble? It an open question MONEY, FINANCIAL INSTITUTIONS, AND INFLATION (CHAPTERS 16 & 17) MONEY vs. BARTER MONEY is a set of assets (things of value) that people use in trading goods and services with other people. Barter involves exchanging goods and services for goods and services. There is a double coincidence of wants (you both want what the other person has). A money economy involves exchanging goods and services for money, that can be exchanged for goods and services. Money increases specialization and efficiency. It lowers transaction costs facilitating trade. Both effects increase welfare and output. FUNCTIONS OF MONEY: (This makes it different from other assets) 1. medium of exchange used in trading goods and services 2. store of value a way to hold purchasing power over time (imperfect with inflation) 3. unit of account measure prices and debt in monetary terms. Money needs to be liquid, divisible, and portable. Fiat monetary system, nothing backing it up (e.g. like gold). It has value because it has purchasing power. DEFINITIONS OF THE MONEY SUPPLY: (held by the nonbanking public) M1 = currency (bills & coins) + travelers checks + checking accounts About 70% is held outside the U.S. ($2000/person). M2 = M1 + saving deposits + small time deposits (< $100,00) + retail money market mutual funds (excludes IRAs and other retirement accounts) M3 = M2 + large time accounts (>$100,000) + institutional money market mutual funds Credit cards are a method of deferred payment, not money. Debit cards are like checks. Monetary Base = reserves + currency DateSeasonally adjustedNot seasonally adjustedM1 HYPERLINK "http://www.federalreserve.gov/releases/h6/current/h6.htm" \l "FNa01#FNa01" 1M2 HYPERLINK "http://www.federalreserve.gov/releases/h6/current/h6.htm" \l "FNa02#FNa02" 2M1 HYPERLINK "http://www.federalreserve.gov/releases/h6/current/h6.htm" \l "FNa01#FNa01" 1M2 HYPERLINK "http://www.federalreserve.gov/releases/h6/current/h6.htm" \l "FNa02#FNa02" 2 Jul 2008  1413.8 7801.4 1416.1 7774.9 Aug 2008  1398.8 7789.6 1399.7 7771.9 Sep 2008  1458.5 7896.9 1440.0 7850.3 Oct 2008  1471.7 8012.1 1460.9 7962.5 Nov 2008  1516.9 8064.6 1512.0 8051.9 Dec 2008  1602.1 8257.5 1626.4 8267.5 Jan 2009  1583.5 8318.9 1575.1 8313.1 Feb 2009  1574.0 8358.9 1546.9 8340.4 Mar 2009  1577.4 8412.2 1590.6 8475.1 Apr 2009  1608.5 8366.8 1624.3 8471.6 May 2009  1608.5 8439.2 1613.9 8449.7 Jun 2009  1646.2 8455.3 1658.1 8460.3 Jul 2009  1650.0 8445.3 1655.0 8425.9 Aug 2009  1648.5 8422.0 1649.4 8400.6 Sep 2009  1660.9 8461.1 1639.9 8405.1 Oct 2009  1676.2 8494.0 1661.9 8436.0 Nov 2009  1687.5 8525.2 1680.8 8507.9 Dec 2009  1696.6 8544.4 1721.8 8550.3 Jan 2010  1680.8 8488.5 1672.0 8477.7 Feb 2010  1714.8 8550.0 1683.3 8524.2 Mar 2010  1713.2 8526.1 1728.4 8589.1 Apr 2010  1701.7 8498.2 1717.8 8614.0 May 2010  1706.8 8580.1 1711.7 8598.8 Jun 2010 p  1722.6 8611.8 1737.5 8624.7 YearMBM1M29/08$905.3 Bil.1,451.67,81010/08$1,130.41,474.77,929.211/08$1,433.21,523.27,982.111/09$2,016.31,694.28,392.17/10$1,996.3  The U.S. central bank is the Federal Reserve System (in Japan its the Bank of Japan). The Fed was established in 1913 and began operation in 1914. FUNCTIONS OF THE FED 1. control the money supply (monetary policy) 2. regulate the banking system 3. lender of last resort 12 regional banks plus the Board of Governors in Washington DC (7 members with 14 year terms, Alan Greenspan is Chairman (4 year term). Regional banks help give entire country (not just New York) a say in policy. FEDERAL OPEN MARKET COMMITTEE or FOMC This is a very important group that makes decisions on the money supply or monetary policy. They meet every 6 weeks. The 12 members the 7 board members + NY Fed president + 4 regional presidents (rotate). FRACTIONAL RESERVE BANKING SYSTEM Actions by the Fed and regular banks influence the money supply. Monetary base = currency held by public + bank reserves Bank reserves = vault cash or deposits at the Fed = $ 820.7 bil. (12/09) Banks accept deposits and make loans for a profit. Reserve Requirement Deposit Range 0% 0 - $10.7 mil. 3% > $10.7 $55.2 mil. 10% > $55.2 mil. Because reserves are like a tax on the bank, because they cannot purchase an interest earning asset, the Fed started paying interest 10/08. The interest rate is approximately equal to the Federal Funds rate (interbank market) and currently equals .25%. The deposit ranges change (a little each year). BANKS assets > liabilities => net worth or bank capital > 0 or bank is solvent. When net worth approaches zero or becomes negative, bank fails or goes out of business. As of 12/09 total bank assets equal $11,665.6 bil. and liabilities equal $10,414.5 bil, resulting in a net worth of $1,251.1 for the entire system. AssetsLiabilitiesReservesDeposits (largest)Securities (Govt bonds, MBS)BorrowingsLoansOtherOther Money Supply Process Multiple expansion of deposits and the money supply. Required Reserve Ratio = RRR = reserves / deposits = .10 (in this example) A. NO BANKS M = currency = $ 100 B. BANKS WITH 100% RESERVES (You deposit your $100 in the bank for safety) M = currency + deposits = 0 + 100 = $100 (M is the same, only the composition has changed) BANK A Assets liabilities reserves $100 deposits $100 Reserves are cash in the vault C. FRACTIONAL RESERVE BANKING SYSTEM On any given day, law of large numbers, withdrawals are offset by deposits. You dont need to keep 100% reserves. Keep a fraction as reserves, lend the rest out. Assume RRR = .10 Im only showing the change in assets and liabilities. Now suppose Bank A decides to make a loan for $90 (holding $10 as reserves). The bank writes a check to the borrower. When the check gets deposited at a bank, the money supply increases. The borrower deposit the funds in Bank B (it could be re-deposited into Bank A again, but I want you to think in terms of the banking system). BANK A BANK B Assets Liabilities Assets Liabilities res 10 dep 100 res 90 dep 90 loans 90 Bank A is loaned out. It has no excess reserves (reserves beyond the 10% requirement). Check clearing works like this. Assume that both banks hold reserves at the Fed. Once the check is deposited into Bank B, Bank B owes the depositor $90. Also, Bank A owes Bank B $90. Bank B sends the check to the Fed, the Fed debits Bank A reserve account $90 and credits Bank B reserve account $90 to settle thing ups. Now Bank B has excess reserves of $81. It only needs to hold $9 (=.10 * 90) in reserves. The process repeats itself and Bank B makes a loan for $90. Suppose the $90 check gets deposited at Bank C. BANK B BANK C Assets Liabilities Assets Liabilities res 9 dep 90 res 81 dep 81 loans 81 Repeat the same process again. BANK C BANK D Assets Liabilities Assets Liabilities res 8.10 dep 81 res 72.90 dep 72.90 loans 72.90 ETC. How much money (deposits) are created from the original $100 deposit? Total change in deposits = $100 + $90 + $81 + $72.90 + $65.61 + = $1000 In this simple case we have: money multiplier = 1 / RRR = 1 / .10 = 10 Total change in deposits = money multiplier * initial deposit = 10 * 100 = 1000. In general: Money Supply = Money Multiplier x Monetary Base Money Multiplier = Money Supply / Monetary Base YearM2MM20008.1320018.3720028.289/088.610/087.011/085.611/094.2 YearTotal ReservesRequiredExcess9/08$103,216 Mil.43,16560,05310/08315,53147,629267,90211/08609,67550,639559,03611/091,140,48763,2191,077,268 The dramatic increase in excess reserves helps explain the decline in the money multiplier. HOW DOES THE FED CONTROL THE MONEY SUPPLY? 1. It set the required reserve ratio. Changes infrequently because of high transaction costs. 2. It can lend to bank via the DISCOUNT WINDOW. Charge interest equal to the discount rate (administratively set, follows the market, now set above the federal funds rate). During the financial crisis of 2008-9, the Fed established a new way to lend to banks called the Term Auction Facility. Rather than setting the interest rate, they instead allowed banks to bid for these funds establishing an interest rate. This resulted in a rate low enough so that banks would actually borrow. They also changed the collateral required to borrow from the Fed. 3. Open market operations the Fed buys or sells asset (U.S. government bonds) from or to the public (usually major banks). However, in the last year they have purchased over $900 billion mortgage backed securities. The Fed is debating stopping this in March 2010. Fed buys bonds ( private bank holdings of bonds falls and reserves increase (Fed credit the banks reserve account), increasing (the growth) the money supply. Fed sells bonds ( private bank holdings of bonds increases and reserves decrease, decreasing (slows the growth) the money supply. Today, monetary policy (control of money supply) is carried out via the federal funds market. This is a short-term (usually overnight) market where banks can borrow or lend funds from or to other banks. The Fed set a TARGET federal funds rate at the FOMC meeting. It then tries the use open market operations to control the amount of reserves in the banking system and the federal funds rate. Because the Fed does not have day to day, even week to week data on the money supply, they use the federal funds rate as an indicator of monetary policy. It has a much stronger effect on short-term rather than long-term (more likely to influence I) interest rates. Cook and Hahn find that for a 1% increase in the target (and actual) federal funds rate, other longer term rates move by 3 month rates - 55 basis points (100 basis points = 1%) 1 year rates 50 basis points 5 year rates 21 basis points 20 rates 10 basis points  Graphically: Chapter 17 Money Growth and Inflation in the long run What determines the value (or purchasing power) of money? The supply and demand for money determines the price level (P) and the value of money (1/P). An increase in P, other things constant, results in a reduction in purchasing power of money. If P = 2, then 1/P = ( One dollar can buy unit of the good. If P = 4, then 1/P = As the price level increases, holding income constant, the value of money falls. In order to be able to buy the same number of goods, nominal money demand increases. Money demand describes the money holding behavior of individuals. Assume economy is in long-run full-employment equilibrium. Ms = M is determined by the Fed. Md = f(1/P, y) The interest rate can be added to it. It measures the O.C. of money. It has a negative effect on money demand. Higher P -> lower 1/P -> higher Md Higher y -> higher Md This is a transaction demand for money. Higher income implies more transactions. Graph of Md Graph of Ms L-R EQUILIBRIUM Notice the right axis. As you move up it, the price level FALLS. Increase in Ms The one-time increase in Ms causes an excess supply of money at the original price level. Since people are holding more dollars than they demand, they get rid of them by purchasing goods and services. Since the economy is at full-employment, prices rise and you experience inflation. Now suppose technology increases full-employment output. This increases Md, the excess demand for money causes prices to fall. Expenditures are lower because people want to hold more money to buy goods and services. QUANTITY THEORY OF MONEY Classical Dichotomy suggests, that in the long-run, there is no relationship between money and real output. So, increases in money raise prices not real output. Velocity of money = V = Y / M = the rate at which money changes hands or turnover. How many times is a dollar spend purchasing goods and services during a year (average). Velocity needs to be stable or predictable for the theory to work. YearM2 Velocity20002.0520011.9320021.86200320042005200620071.8920081.8120091.71 Real output is determined by y = Af(L,K). EQUATION OF EXCHANGE V = Y/M Y = P *y V = P*y/M MV = Py ( total expenditures = nominal GDP If V and y are constants, then an increase in M causes a proportional increases in P. Inflation is a monetary in nature. % change M + % change V = % change P + % change y % change P = % change M + % change V - % change y If V is stable, then its % change is zero (extreme case). % change P = inflation = % change M - % change y EXAMPLES: 0 = 5% - 5% 2% = 7% - 5% 1% = 7% - 6% Increases in the money supply growth rate increases inflation in the long-run. Increases in real growth decreases inflation in the long-run. See figure 4 page 359 for graphs of hyperinflations. We can use the quantity theory of money to predict inflation. i = r + expected inflation The real interest rate is determined by saving and investment. See figure 5 page 362. PROBLEMS WITH INFLATION 1. Unexpected changes cause a redistribution of purchasing power between borrowers and lenders. 2. Hurts people on fixed incomes. 3. High inflation is associated with high variability in inflation. This reduces the information content of prices. It is difficult to differentiate between relative and overall price changes. Inefficient allocation of resources. Difficult to determine r, reducing investment. The result is lower output. 4. If high enough, people spend their time trying to protect themselves for the loss of purchasing power rather than producing goods and services, output falls. These are called shoeleather and menu (costs of changing prices) costs. 5. Inflation is a tax on money holdings reducing its purchasing power. Inflation of 5% lowers a dollars buying power by 5%. Its as if the government tax ever dollar you hold by 5%. However, politicians didnt have to vote on an unpopular tax increase. There is an incentive for governments to inflate the economy. An independent central bank helps. 6. Tax distortions. Income tax brackets are index to the CPI, but capital gains is not. Inflation causes prices of assets to rise. You pay tax on it. Should index purchase price to the CPI to eliminate this problem CHAPTER 20 INTRODUCTION INTO BUSINESS CYCLES`   In the long run the economy grows. In the short run the economy experiences business cycle peaks and troughs. Business cycles are the result of supply (oil prices and technology) shocks and demand (mostly monetary and uncertainty) shocks. During a recession GDP falls and the unemployment rate rises. Aggregate Supply and Demand First we set it up in a long run neoclassical (real side plus QTM) approach. This links it back to what we have done so far in the class. DO NOT THINK OF AS BEING THE SAME AS STANDARD MICRO SUPPLY AND DEMAND CURVES. Long-run Aggregate supply = LRAS y = Af(K, L) The long run equilibrium level of GDP (full-employment, potential, or natural GDP) is determined by the aggregate production function (real factors). Denote it as y*. It is independent of the aggregate price level (P), so it is vertical in the P, y quadrant. Graph Increases (decreases) in A and K shift the LRAS curve to the right (left). If these shifts are permanent, then it represents long run economic growth. Graph Aggregate Demand (QTM Approach) MV = Py y = MV / P = AD Real aggregate demand equals real output (GDP) or Aggregate supply (short or long run depending on context). Increase in P, holding M and V constant implies a lower REAL aggregate demand. An increase (decrease) in M shifts AD right (left). Graph Long-run equilibrium occurs when the price level adjusts (via inflation or deflation; or higher and lower inflation) until AD = LRAS. Graph Show the impact of an increase in A and then an increase in M on long run equilibrium. An increase in A shifts the LRAS curve to the right. There is an excess AS in the economy, prices fall and output is higher. An increase in M (or a lower FF rate that increases C and I), shifts the AD right, creating an excess AD in the economy resulting in higher prices and the same output. Notice the similarity with our previous conclusions. Graphs Now think about long run monetary policy in this model. LRAS shifts to the right as the economy grows. With no change in monetary policy, prices would fall. The Fed tries to maintain price stability by allowing the money supply to increase at a rate equal to the growth in potential output The increase in AD equals the increase in LRAS. If the economy starts growing faster, the question is whether its permanent or temporary (a big question in the 1990s), the Fed should allow the money supply to grow faster (lower FF target). Problem, if they allow the money supply to grow faster and output doe not, the result is inflation. Graph Here is an alternative view of AD. Y = C + I + G + NX Y / P = (C + I + G + NX) / P y = real expenditures = (C + I + G + NX) / P = MV / P You still have a negative slope to AD curve. Lower prices increase real wealth, the price of capital goods, and increases exports, all result in an increase in aggregate quantity demanded. He mentions how a lower price lowers nominal money demand or increases real money supply which lowers nominal interest rates and increases AD. You need the Keynesian money market to explain it. Any shift in the components of AD cause a shift in the AD curve. 1. Monetary policy can cause C and I to change. Expansionary monetary policy lowers interest rates that increases C and I. AD shifts to the right. 2. Fiscal policy consists of changes in G and T. Some believe an increase in G shifts AD to the right (Keynesian position that ignores budget constraint and COE). Changes in taxes can influence C and I. In other words, changes in taxes can have both supply and demand effects. 3. Technological change, higher expected profits, and uncertainty all can influence I and AD. 4. Higher foreign income and a dollar depreciation increases NX and AD. Short-run Aggregate Supply (SRAS) There are a number of different explanations of the positively sloped short run aggregate supply curve. Im going to use a sticky nominal wage model (Keynesian in spirit) with price mispreceptions. W = nominal wage that is fixed (especially in the downward direction) due to labor contracts in short run. Changes in W reflect changes in expected prices. W / P = the real wage that measures the purchasing power of W. Higher prices, given W, lowers the real wage making labor relatively cheaper, resulting in higher employment and output. Eventually, W will catch up to P and the real wage returns to its original value. The SRAS curve shifts up when W increases resulting in lower employment and output. Prices rise as well (this is OK because a monetary shock started the process). There is only a short run impact. Essentially there is a misperception about the price level in the economy. Graph Price misperceptions cause the positive short run relationship between monetary policy and REAL GDP (you dont even need a fixed W). But it is only a temporary or short run effect. So it is possible for an increase in M and P to cause a short-run increase in y. There is no long run impact on y. Recall that information is costly to get so it is imperfect. SRAS y = y* + a(P Pe) If P = Pe, then y =y* This is full-employment long-run equilibrium. Now suppose prices increase more than expected so P > Pe, the real wage falls and employment and output expands in short run. If P > Pe, then a(P Pe) > 0 and y > y* temporarily (eventually Pe adjusts until Pe = P at the new higher level) Example y* = 100, a = 10, P = Pe = 1 ( y = y* = 100 Now suppose P = 2 then y = 100 + 10(2 1) = 110 Now suppose prices increase less than expected so P < Pe If P < Pe, then a(P Pe) < 0 and y < y* P = .5 so y = 100 + 10(.5 1) = 100 + 10(-.5) = 100 5 = 95 Shifting SRAS 1. Anything that can shift the LRAS curve as discussed. 2. Changes in Pe that changes W. a. increases in Pe (and W) shift the SRAS left or up b. decreases in Pe (and W) shift SRAS right or down It changes the cost of production and output. y = y* + a(P Pe) solve for P P = 1/a(y y*) + Pe Pe is the vertical intercept allowing the SRAS curve to shift. Graph Short run and Long-run Equilibrium Prices and wages adjust so that P = Pe and W/P results in full-employment equilibrium in short- and long-run at y = y* (U is at the natural rate U*). EXAMPLES OF SHOCKS THAT CAUSE BUSINESS CYCLES These are comparative static models rather than dynamic models that would be more realistic. Still we can get a good understanding of fluctuations and adjustment. The economy is self-adjusting to full employment. There is debate about how fast the economy adjusts and whether the government can speed up the process. We will always start in long-run equilibrium and shock the economy. We will adjust back to full employment. 1. Expansion or boom caused by monetary policy that results in higher prices. Start in full-employment equilibrium (point a). The unexpected increase in M or decrease in interest rates causes C and I to increase AD. Because P>Pe, y>y* W/P falls so employment rises (U U* wages fall lower production costs. This shifts the SRAS back to the original P and y (point a). Prices cannot be stay higher without an increase in the money supply to accommodating the higher costs due to oil prices. If the money supply is increased trying to end the recession, AD shifts right and the result is higher prices and the same y as you would have from the adjustment process (point c). Output increases because there are unemployed resources that get re-employed. If the government uses fiscal policy (increase in G or decrease in T) to shift AD, we get the higher price because the deficit increases r, raising the o.c. of holding money reducing money demand and raising V. This gives us the higher price level. 3. A recession due to a drop in investment because of greater uncertainty due to an event like 9/11. The increase in uncertainty reduces investment and AD. This results in an short-run equilibrium with yU*) (point b). Adjustment process: Because U>U*, there is an under-utilization of resources, wages (and other costs) decrease causing the SRAS curve to shift down restoring long-run equilibrium (point c). This may take time so instead, the government might try to use monetary or fiscal policy to speed up process. Increasing M or G (decreasing T) raise AD, moving the economy back to original equilibrium (point a) We have shown what the business cycle effects are from different types of aggregate shocks. You should reverse the direction of each shock and trace the effects verbally and graphically. Long-run Setting: 1. decrease M (negative demand shock) 2. decrease A (negative supply shock) Short-run Setting: 1. decrease M (negative demand shock) 2. lower oil prices (positive supply shock) 3. investment boom (positive demand shock) The Phillips Curve suggests there is a short run, but not long run trade-off between inflation and unemployment. The reasoning is the same as the short-run aggregate supply curve. Price misperceptions cause the real wage to be temporarily higher or lower than expected changing the level of employment and unemployment. For example, if inflation is higher than expected, the real wage falls and firms hire more workers causing the unemployment rate to temporarily decline. This gives you the short-run inverse relationship between inflation and unemployment. Eventually inflationary expectations adjust upward and nominal wages rise to make up of the unexpected inflation. The real wage returns to the original level, so does the unemployment rate. The result is no long-run trade-off between unemployment and inflation. This is the same story we have been discussion using AS-AD so Im not going to graph it or discuss in detail. Business cycles are unpredictable and vary in depth and length. This is true because we experience different types of AD / AS shocks in each recession. The economy is self correcting. If this process takes too long, some call for the use of monetary and fiscal policy to speed the adjustment up. Stabilization policy is difficult to do. There are a number of lags in the process that can make policy de-stabilizing! 1. You must recognize the change in the economy (recognition lag). 2. It takes time to make the policy change (administrative lag). 3. Policy changes take time to influence the economy once implemented (impact lag). Suppose the economy goes into a recession, by the time AD increases from stabilization policy, the economy may have already recovered. Now AD is too high causing other problems. If you are going to do it, monetary policy is less political, shortening the second lag and maybe the first. It is generally considered a more effective stabilization policy tool. The Financial Crisis and Recession of 2007 - 2009 Recession began December 2007 and probably ended during the summer of 2009 (The official dating of the end has not occurred yet.) Unemployment rose from 4.6% during June 2007 to a peak of 10.2% in October 2009. Real GDP declined from $13,321.1 bil. in the third quarter of 2007 to $12,901.5 bil. in the second quarter of 2009. This is comparable to the recession in 1981-2.  1. Between 2002 and 2005 the actual federal funds rate was very low. You would have to go back to 1975-78 to find similar multi-year period of sustained expansionary monetary policy. The M2 money supply grew at an annual rate of 8 to 10 percent during this period. In addition, strong demand for medium- and long-term U.S. Treasury bonds from Asian countries placed downward pressure on longer-term interest rates. The low interest rates are linked to the housing boom during this time. In 2005 the Fed became concerned about inflation rather than recession and began tightening monetary policy with the federal funds rate reaching 5.25 percent in 2007. This shift in policy contributed the housing downturn and recession. Tighter monetary policy raised interest rates reducing housing demand. This caused housing prices to decline and defaults to increase. This reduced the mortgage payment flow into banks reducing the value of bank assets and bank stocks. A number of banks failed. This caused an increase in uncertainty (interbank lending declined because you were unsure about the balance sheets of the borrowing bank). The interbank loan market froze, resulting in a decline in credit, more bank failures, and a recession.  2. The relatively low short-term interest rates relative to long-term rates changed the type of mortgage borrowers used. They switched from 15 or 30 year fixed rate loans to adjustable rate mortgages (ARMs). Now borrowers take on the risk of refinancing. Borrowers were betting housing prices would continue to rise. They were speculating in the housing market. Once interest rates rose, the mortgages were reset at higher interest rates. Combined with declining home prices, defaults increased (home values less than amount borrowed). This became a problem for both subprime and prime mortgages. 3. Financial innovations and government policies resulted in rapid grown in non-prime mortgages. They increased from 10 percent of mortgages in 2001 to 23 percent in 2006. 4. The financial industry significantly underestimated the risk in mortgage lending. The credit rating companies did a poor job assessing risk. There was questionable lending and borrowing (fraud). The systematic underestimation of risk (rather than a few individual firms) suggests there were other factors contributing to this problem. 5. Loan companies did not hold the mortgages they were originating. As a result, many were not careful about the loans they made. Loans were bundled together into a security (mortgage backed securities) and sold to banks, investors, Fannie Mae, and Freddie Mac. It appears that some investors did not understood the complexity of these securities. The owners of these securities were paid as the mortgages are paid off. As defaults increased, these securities lost value worsening the balance sheets of banks. Securitization has worked well in the past. It diversifies risk and increases funds available to borrowers. 6. Commercial real estate loans are still a major problem in the financial system. 7. Crude oil prices rose from $65 per barrel in the beginning of 2006 to almost $134 per barrel in June 2008. This 106 percent increase represented a major negative shock to the economy. 8. Four policy mistakes. A. The Federal Housing Administration or FHA (insures mortgages of qualified borrowers) lowered mortgage down-payment requirements from 20 percent of a loan in the 1930s to 3 percent by 2004. The industry followed the FHA lead and did the same. Mortgages with lower down-payments default more often. B. Community Reinvestment Act (1977) expanded reporting requirements (how well are they serving their community). If a bank gets a low CRA rating, regulators could limit mergers and expansions. This put political pressure on the banks to make more risky loans over the last 15 years. C. Fannie Mae (Federal National Mortgage Association) was founded in 1938. It became stockholder owned (private ownership) as a government sponsored enterprise (GSE) in 1968. Freddie Mac (Federal Home Loan Mortgage Corporation) was established in 1970 as a GSE as well. The purpose of these organizations is to purchase and securitize conforming mortgages helping to ensure the expansion and liquidity of this market. Because of losses in the mortgage market, both were placed under government conservatorship (management) September 2008. They own or guarantee about one half of the $12 trillion mortgage market. Congress pressured Fannie Mae and Freddie Mac to expand their activities in order to help expand affordable housing. It purchased more subprime (riskier) mortgages. This was possible because they can borrow at low interest rates (government guarantees borrowing). They package these mortgages into securities (mortgage backed securities) and sold many of them to private banks. For a fee, they guaranteed payment of these securities. Once housing prices declined and defaults increased, they lost money. Once their capital was wiped out, the U.S. Treasury (you the taxpayer) bailed them out. Fannie Mae lost $72 billion in 2009. D. The Financial Accounting Standards Board (FASB) decided to use mark-to-market accounting rules in November 2007 for the first time since 1938. Mark-to-market accounting rules required financial institutions to use the current market price to value assets. It requires banks to adjust the value of their assets on their books to reflect their market value. This is a good idea in principal because it allows investors to better judge the value of a financial institution. However, in the middle of a crisis where few asset trades occur, and the price of securities dramatically decline, it became very difficult to determine market value. An asset sold at a very low price forced other financial institutions to mark down the value of their assets (even if the borrowers were making their payments), reducing net worth making them more likely to fail. This policy was modified by the FASB in April 2009 allowing banks to use the cash flow from an asset to value a security when few trades are occurring in the market. In other words, even if the market value of these assets have fallen, so long as borrowers are making payments, the banks do not need to write down the value of these assets. This was one of the most important actions that help stabilize financial markets last spring. Private funds began flowing into banks following the rule change. This has help banks pay off the taxpayer bailout. There is some evidence that bank regulators are currently implicitly forcing banks to follow the old rule. If this is true, it is a policy mistake because the financial system has not completely recovered. Also, mark-to-market accounting was probably overstating the value of these assets during the boom. . 9. What has been the policy response to the crisis? A. Expansionary monetary policy has been followed by the Fed since 2007. They have expanded lending to banks and other firms. The value of the Feds balance sheet has doubled to more than $2 trillion over this period. In addition to loans, they have been purchasing longer-term Treasury bonds and mortgage backed securities. The Fed will have to remove these funds soon to prevent inflation. If done to fast, they can cause a recession. If done to slowly, inflation can result. It will be difficult to pull off. B. Fiscal policy consisting of higher government spending and lower taxes was used to try stabilize the economy in early 2009. A stimulus package was passed by Congress and signed into law by President Obama February 17, 2009. The package was worth $787 billion ($500 billion spending and $250 billion in tax cuts). About $185 billion was spent in 2009 and $400 billion will be spent this year. The Administration argued that their economic models predicted that without the stimulus, the unemployment rate would rise to 8%. Their forecast was off significantly. There are a number of issues surrounding this policy choice. First, economic research suggests permanent cuts in income tax rates have a bigger impact on the economy than additional spending or tax rebates. Permanently higher after tax income because of tax rate decreases causes people to increase spending. Also, many small businesses pay income taxes not corporate taxes. The lower tax rates increase the incentive to supply labor, hire workers, and invest. The tax cuts in the stimulus package were tax rebates and had little impact on the economy. Second, there is disagreement on the size of the impact of government spending on the economy. The emerging consensus is that the impact is less than 1. This means there is offsetting declines (crowding out) in consumption, investment, or net exports. Third, you also have to finance the spending. Currently banks are financing the deficit rather than private investment. This is bad for long term economic growth. C. Troubled Asset Relief Program or TARP was a $700 billion program used to stabilize the financial system. It was approve by Congress in the fall of 2008. It allowed the U.S. Treasury to purchase (or insure) assets and equity from financial institutions. It was mostly used to boast the capital of major banks. Most of TARP expenditures (but no all) has been repaid by the major financial institutions. D. Regulatory reform of the financial system is about to be passed by Congress at the time these notes were being revised. Important questions that need to be addressed include capital requirements (banks held much higher levels of capital in the past) and creating the right incentives to monitor and manage risk taking. The fundamental problem facing financial regulators is that repeated bailouts have created incentives for banks to take on greater risk (major moral-hazard problem) than they would have without the bailouts. We have been bailing out the financial sector since the early 1980s. It will be hard for the government to credible break this pattern. We could require banks (especially large ones) to raise more capital and set loan loss reserves aside during good times so they would be better positioned to handle the bad times. They would not be forced to raise capital and reduce lending in a downturn. Banks could be required to issue non-guaranteed debt. The holders of this debt would have an incentive to monitor the banks. If a bank was taking on risk, the interest on this debt would rise providing a signal to investors and regulators. Bankers, regulators, and politicians are not angels. You should lower your expectations concerning the ability of regulation to solve all these problems. INTERNATIONAL TRADE AND FINANCE Chapter 3: Comparative Advantage and the Gains from Trade Globalization Domestic markets for goods, services, and assets have increasingly become integrated into world markets. Developments outside the U.S. can have a large impact on the U.S. economy. It hasnt always been this way. Between 1870 and 1914, there were large flows of goods and assets, comparable to today. However, between 1914 and 1945 there was reversal of these trends because of two world wars and the great depression. The flow of goods and assets have expanded since 1945. This expansion has occurred for a number of reasons. Lower transportation costs (steam vs. sail shipping in the 19th century, airplanes in the 20th century, and the internet today) Containerization Reduced trade restrictions Increased incomes Vertical specialization (trade within firms may account for 1/3 of all trade) INTERNATIONAL TRADE Prior to the recent recession, world trade has been growing fast.  INCLUDEPICTURE "http://www.wto.org/images/300pxls.gif" \* MERGEFORMATINET  Quarterly world merchandise export developments, 2005-09 (2005Q1=100, in current US dollars)  INCLUDEPICTURE "http://www.wto.org/images/quarterly_world_exp_0508.gif" \* MERGEFORMATINET  Source: World Trade Organization, downloaded 12.01.09. Table I.8Leading exporters and importers in world merchandise trade, 2008 (Billion dollars and percentage) Rank Exporters Value Share Annual percentage change Rank Importers Value Share Annual percentage change 1  Germany 1461.99.1111  United States 2169.513.272  China 1428.38.9172  Germany 1203.87.3143  United States 1287.48.0123  China 1132.56.9184  Japan 782.04.994  Japan 762.64.6235  Netherlands 633.03.9155  France 705.64.3146  France 605.43.8106  United Kingdom 632.03.817  Italy 538.03.387  Netherlands 573.23.5168  Belgium 475.63.0108  Italy 554.93.489  Russian Federation 471.62.9339  Belgium 469.52.91410  United Kingdom 458.62.9410  Korea, Republic of 435.32.72211  Canada 456.52.8911  Canada 418.32.5712  Korea, Republic of 422.02.61412  Spain 401.42.4313  Hong Kong, China 370.22.3613  Hong Kong, China 393.02.46   domestic exports 17.00.1-6   retained imports 97.60.64   re-exports 353.32.2714  Singapore 338.22.11314  Mexico a 323.22.09   domestic exports 175.71.113   re-exports 162.51.01315  Saudi Arabia 313.42.03315  Singapore 319.81.94722   retained imports 157.30.9583116  Mexico 291.71.8716  India 293.41.83517  Spain 268.31.7617  Russian Federation a 291.91.83118  Taipei, Chinese 255.61.6418  Taipei, Chinese 240.41.51019  United Arab Emirates b 231.61.42819  Poland 204.31.22320  Switzerland 200.31.21620  Turkey 202.01.21921  Malaysia 199.51.21321  Australia 200.31.22122  Brazil 197.91.22322  Austria 183.41.11323  Australia 187.31.23223  Switzerland 183.21.11424  Sweden 183.41.1924  Brazil 182.41.14425  Austria 181.01.11125  Thailand 178.71.12826  Thailand 177.81.11726  Sweden 167.21.01027  India 177.51.12127  United Arab Emirates b 165.61.02528  Norway 172.51.12728  Malaysia 156.91.0729  Poland 168.01.02029  Czech Republic a 141.50.92030  Czech Republic 146.30.91930  Indonesia 126.20.83631  Indonesia 139.30.91831  Saudi Arabia 115.10.72832  Turkey 132.00.82332  Denmark 110.80.71233  Ireland 124.10.8233  Hungary 107.90.71334  Denmark 116.80.71434  South Africa b 99.50.61235  Iran, Islamic Rep. of 113.40.72835  Finland 91.80.61236  Hungary 107.70.71336  Portugal 90.00.51537  Finland 96.50.6737  Norway 89.30.51138  Bolivarian Rep. of Venezuela 93.50.63538  Ukraine 85.50.54139  Kuwait 87.10.53939  Ireland 83.20.5-140  South Africa 80.80.51640  Romania 82.70.51841  Nigeria 80.80.52341  Viet Nam 80.40.52842  Algeria 79.30.53242  Greece 79.00.5443  Kazakhstan 71.20.44943  Slovak Republic a 73.40.42244  Slovak Republic 71.00.42244  Israel 67.70.41545  Argentina 70.00.42645  Chile 61.90.43146  Angola b 67.10.45146  Philippines 60.30.4447  Ukraine 67.00.43647  Argentina 57.40.42848  Chile 66.50.4-248  Iran, Islamic Rep. of 57.40.42849  Qatar b 63.80.45249  Bolivarian Rep. of Venezuela a, b 49.60.3850  Libyan Arab Jamahiriya b 63.10.43450  Egypt 47.50.328   Total of above c ####92.5-   Total of above c ####91.4-   World c ####100.015   World c ####100.015a Imports are valued f.o.b. b Secretariat estimates. c Includes significant re-exports or imports for re-export. Note: For annual data 1998-2008, see Appendix Tables A6 and A7.  Source: World Trade Organization, downloaded 12.01.09. The U.S. is still a leading exporter (and importer) of merchandise, as well as services. Leading exporters and importers in world trade in commercial services, 2008(Billion dollars and percentage)RankExportersValueShareAnnual percentage changeRankImportersValueShareAnnual percentage change1United States 521.413.8101United States 367.910.582United Kingdom 283.07.512Germany 283.08.1113Germany 241.66.4113United Kingdom 196.25.604France 160.54.2114Japan 167.44.8135China 146.43.9205China 158.04.5226Japan 146.43.9156France 139.44.087Spain 142.63.8127Italy 131.73.8118Italy 121.93.2108Ireland 106.23.0129India 102.62.7179Spain 104.33.0910Netherlands 101.62.7810Korea, Republic of 91.82.61211Ireland 99.22.61211Netherlands 90.82.6812Hong Kong, China 92.32.4912Canada 86.62.5613Belgium 86.12.31613India 83.62.41814Singapore 82.92.2314Belgium 81.92.31715Switzerland 75.22.01615Singapore 78.92.3616Korea, Republic of 74.12.02016Russian Federation 74.62.12917Denmark 72.01.91717Denmark 62.31.81618Sweden 71.61.91318Sweden 54.31.61319Luxembourg 68.91.8519Thailand 46.31.32120Canada 64.81.7220Hong Kong, China 45.81.3821Austria 61.71.61221Australia 45.51.31822Russian Federation 50.71.33022Brazil 44.41.32823Greece 50.41.31723Norway 43.91.31324Australia 45.61.21524United Arab Emirates 42.81.22825Norway 45.61.21325Austria 42.61.2926Poland 35.30.92326Luxembourg 40.71.2727Turkey 34.50.92227Switzerland 36.61.01028Taipei, Chinese 33.60.9828Saudi Arabia a 34.61.0 ...29Thailand 33.40.91129Taipei, Chinese 33.61.0-230Malaysia 29.30.8430Poland 29.90.92631Brazil 28.80.82731Malaysia 29.10.8532Portugal 26.10.71332Indonesia a 27.90.8 ...33Egypt 24.70.72633Mexico 24.70.7634Finland 24.20.6534Greece 24.40.72335Israel 23.80.61335Finland 23.10.7536Czech Republic 22.20.62936Israel 19.60.61137Hungary 20.00.51837Hungary 18.50.52038Lebanon 18.90.54638Czech Republic 17.30.52139Mexico 18.50.5539South Africa 16.50.5240Macao, China 18.10.52540Portugal 16.50.517Total of above ####90.0-Total of above ####87.8-World ####100.012World ####100.012a Secretariat estimate.Note: Figures for a number of countries and territories have been estimated by the Secretariat. Annual percentage changes and rankings are affected by continuity breaks in the series for a large number of economies, and by limitations in cross-country comparability. See the Metadata. For annual data 1998-2008, see Appendix Tables A8 and A9. Merchandise trade of the United States by origin and destination, 2008 (Billion dollars and percentage) Exports Imports Destination Value Share Share Annual percentage change Origin Value Share Annual percentage change 2008 20002008 200720082008 20002008 20072008Region   Region   World #### 100.0100.0 1212World #### 100.0100.0 57North America 413.2 37.032.1 67Asia 762.4 37.835.1 51Asia 329.4 27.625.6 118North America 559.0 29.425.8 55Europe 311.1 23.624.2 1614Europe 409.6 20.318.9 64South and Central America 135.0 7.510.5 2128South and Central America 167.4 6.27.7 118Middle East 55.0 2.44.3 2122Africa 117.3 2.35.4 1423Africa 28.8 1.42.2 2820Middle East 115.3 3.25.3 844CIS 13.8 0.41.1 4932CIS 38.5 0.81.8 545Economy   Economy   European Union (27) 271.8 21.621.1 1511European Union (27) 377.9 18.717.4 74Canada 260.9 22.620.3 85China 356.6 8.516.4 115Mexico 151.2 14.311.7 211Canada 339.1 18.515.6 37China 69.7 2.15.4 1711Mexico 218.6 10.910.1 63Japan 65.1 8.45.1 57Japan 143.6 12.06.6 -2-4Above 5 818.8 68.963.6 --Above 5 #### 68.666.2 --Korea, Republic of 34.8 3.62.7 70Saudi Arabia 57.0 1.22.6 1253Brazil 32.3 2.02.5 2834Bolivarian Rep. of Venezuela 52.6 1.62.4 728Singapore 28.8 2.32.2 610Korea, Republic of 49.8 3.32.3 41Taipei, Chinese 25.3 3.12.0 14-4Nigeria 39.2 0.91.8 1716Australia 22.4 1.61.7 817Taipei, Chinese 37.7 3.41.7 0-5Switzerland 22.0 1.31.7 1829Brazil 32.1 1.21.5 -318Hong Kong, China 21.6 1.91.7 138Malaysia 31.6 2.11.5 -10-6India 17.7 0.51.4 5518Russian Federation 27.9 0.61.3 -238United Arab Emirates 15.7 0.31.2 -336India 27.0 0.91.2 97Israel 14.5 1.01.1 1911Thailand 24.6 1.41.1 03Malaysia 13.0 1.41.0 -711Iraq 23.1 0.51.1 -394Bolivarian Rep. of Venezuela 12.6 0.71.0 1324Israel 22.6 1.01.0 97Saudi Arabia 12.5 0.81.0 3320Algeria 20.0 0.20.9 159Chile 12.1 0.40.9 2246Angola 19.5 0.30.9 651Colombia 11.4 0.50.9 2834Switzerland 18.2 0.80.8 320Turkey 10.4 0.50.8 1559Indonesia 16.7 0.90.8 610Russian Federation 9.3 0.30.7 5528Singapore 16.2 1.60.7 3-14Thailand 9.1 0.90.7 47Viet Nam 13.9 0.10.6 2321Philippines 8.3 1.10.6 18Colombia 13.8 0.60.6 238Argentina 7.5 0.60.6 2329Australia 10.9 0.50.5 522Dominican Republic 6.6 0.60.5 148South Africa 10.1 0.30.5 209South Africa 6.5 0.40.5 2418Ecuador 9.5 0.20.4 -1446Peru 6.2 0.20.5 4150Trinidad and Tobago 9.5 0.20.4 61Egypt 6.0 0.40.5 3013Philippines 9.1 1.10.4 -3-7Indonesia 5.9 0.30.5 3840Chile 9.0 0.30.4 -5-8Costa Rica 5.7 0.30.4 1124Norway 7.6 0.50.4 30Panama 4.9 0.20.4 3832Kuwait 7.4 0.20.3 372Honduras 4.8 0.30.4 219Hong Kong, China 6.7 1.00.3 -12-8Guatemala 4.7 0.20.4 1616Argentina 6.2 0.30.3 1328Nigeria 4.1 0.10.3 2547Peru 6.1 0.20.3 -1112Ecuador 3.4 0.10.3 818Congo 5.2 0.00.2 063Norway 3.4 0.20.3 2711Turkey 5.0 0.30.2 -151Qatar 3.1 0.00.2 10811Azerbaijan 4.5 0.00.2 162131Netherlands Antilles 3.0 0.10.2 4042Libyan Arab Jamahiriya 4.4 ...0.2 3523Viet Nam 2.8 0.00.2 7347Honduras 4.2 0.30.2 53Above 40 #### 97.195.6 --Above 40 #### 96.596.6 -- Source: World Trade Organization, downloaded 12.01.09. The bulk of U.S. trade is with North America, Asia, and Europe. All values are calculated in dollars using the average exchange rate over the period. There are two kinds of trade, inter- and intra-industry trade. Inter-industry trade is between different industries. You export computers and import oil. Intra-industry trade represents trade within an industry. You export Bud and import Bass Ale. Inter-industry trade is determined by comparative advantage, not absolute advantage. Comparative advantage implies you can produce something at a lower opportunity cost. The opportunity cost is the value of what you give up to produce something. Countries (and individuals) specialize in goods in which they have a comparative advantage. Absolute advantage measures the level of productivity. We can measure this in terms of the number of workers needed to produce one unit of the good. Example: Suppose we have productivity and population data for two countries, the Japan and Mexico. Both countries can produce mouthwash and garlic. Productivity Data JapanMexicoMouthwash2 workers8Garlic510 Japan is more productive than Mexico in both goods (it takes fewer workers to produce one unit of output). Is there any reason for Japan to trade with Mexico? Yes, specialize in the good with the comparative advantage. They have the comparative advantage in mouthwash. They can trade and import the other good. This will make them better off with a higher level of consumption. Population Data Japan10Mexico40 Output Data JapanMexicoMouthwash5 units5Garlic24 Output = population/productivity In this example the only input is labor. Having more than one input doesnt really change the story. We can represent the output data using a production possibilities curve. The production possibilities curve shows the combinations of mouthwash and garlic these countries can produce given labor and technology. It is a straight line that is downward sloping (has a negative slope). In other cases the production possibilities curve is bowed outward. Graph 2 Without trade a country can only consume what they produce. Pre-trade Production and Consumption (This is one possibility.) JapanMexicoMouthwash2.5 units1.25Garlic13 Compute opportunity cost to determine comparative advantage. We can do this by calculating the slope of the production possibilities curve. The slope of a straight line between two points equals the rise or change in the vertical distance between the two points (the change in mouthwash production) divided by the run or change in the horizontal distance between the two points (the change in garlic production). We will use the endpoints of the production possibilities curve. The slope can also be interpreted as the domestic (pre-trade) barter price. In this example, differences in technology or climate creates the comparative advantage. Japan " mouthwash / " garlic = -5/2 = -2.5Increase garlic by 2 causes mouthwash to decrease by 5 or ! garlic =1 ! ! mouthwash by 2.5" garlic / " mouthwash = -2/5 = -.4! mouthwash= 5 ! ! garlic = 2 or ! mouthwash=1 ! ! garlic = .4  For Japan, the vertical intercept equals (0,5) and the horizontal intercept equals (2,0). The slope can be calculated using this information. "mouthwash/"garlic = "y/"x = 5  0/0  2 = 5/-2 = -2.5 Mexico " mouthwash / " garlic = -5/4 = -1.25Increase garlic by 4 causes mouthwash to decrease by 5 or ! garlic =1 ! ! mouthwash by 1.25" garlic / " mouthwash = -4/5 = -.8! mouthwash= 5! ! garlic = 4 or ! mouthwash=1 ! ! garlic = .8  For Mexico, the vertical intercept equals (0,5) and the horizontal intercept equals (4,0). " mouthwash/"garlic = 5  0/0  4 = 5/-4 = -1.25 Comparative Advantage Comparative AdvantageJapanMouthwashMexicoGarlic Suppose the two countries decide to trade with each other based on comparative advantage. They would have to agree on a price. We can add a trading line with a slope equal to the international price (sometimes referred to as the terms of trade). Mexico s domestic price= 1.25 d" Price d" Japan s domestic price = 2.5 Price = 2 ! one pound of garlic would cost you 2 bottles of mouthwash The closer the price is to Mexicos domestic price, more of the gains go to Japan. So a decrease in the price of garlic (an improvement in Japans terms of trade) makes them better off. The reverse would be true for Mexico. Mexico specializes in garlic production (output=4) and zero production of mouthwash. Mexico exports garlic and imports mouthwash. For every pound of garlic it exports it will receive or import two bottles of mouthwash. This is a good deal for Mexico. Without trade, Mexico gets 1.25 bottles of mouthwash for each pound of garlic it gives up. So long as the international price is greater than 1.25, they gain. Japan specializes in mouthwash production (output=5) and zero production of garlic. Japan exports mouthwash and imports garlic. For every pound of garlic it imports it will give up two bottles of mouthwash. Without trade, each pound of garlic costs 2.5 bottles of mouthwash. Its cheaper to import it than produce it themselves. Suppose they agree to trade 1 pound of garlic for 2 bottles of mouthwash. Production with Specialization JapanMexicoMouthwash5 units0Garlic04 Consumption after Trade JapanMexicoMouthwash3 units2Garlic13 Consumption before Trade JapanMexicoMouthwash2.5 units1.25Garlic13 Consumption Gains From Trade JapanMexicoMouthwash.5 units.75Garlic00 Graph 3 They both consume more mouthwash and the same amount of garlic. How large are these gains? Japan when from a completely closed economy to a completely open economy in 1850. Real GDP rose by 8 percent. In 1807 President Jefferson imposed a trade embargo. Real GDP feel 5 percent in one year. Today, if all trade barriers in the world where eliminated, world GDP is estimated to increase by $2 trillion. U.S. GDP would increase by almost by half a trillion dollars. Studies also should countries grow faster when they open up to trade. Heckscher-Ohlin Model of Comparative Advantage: Assuming technology and tastes are the same, a country will have a comparative advantage and export goods that are intensive in the countrys abundant factor of production. Compare Factor Endowments (Skilled Labor / Unskilled Labor)US > (Skilled Labor / Unskilled Labor)VIETNAM The U.S. will export goods than are skill intensive and import goods intensive in unskilled labor from Vietnam. Since the U.S. has a lot of skilled labor relative to unskilled labor, goods that use a lot of skilled labor should be cheaper to produce it the U.S. We tend to see this. So this is another reason why a country can have a comparative advantage in addition to technology differences. Today, technology is diffused around the globe quickly. This approach is useful for understand the potential impact of trade on wages. Trade causes the real income of the owners of the adundant factor (skilled labor in the U.S.) to increase and decreases the real income of the scare factor, other things constant. Key point, the country as a whole is better off but some individuals can be harmed. That is why we set up programs that help displaced workers. Ignoring productivity growth and holding labor supply constant, the demand for skilled labor in the U.S. increases raising the wages of skilled labor. The demand for unskilled labor declines causing wages of the less skilled workers to decline (or not grow). What is the impact on aggregate employment? Over the last 20 years employment increased 35 percent while imports increased 370 percent. The impact of trade on employment and wages is modest. Trade does change the mix or types of jobs in the economy. This can cause adjustment costs for workers. Technological change has had a far bigger impact on wage inequality. Intra-Industry Trade This represents trade within the same industry. The U.S. exports and imports golf clubs. This occurs in markets where firms differentiate their product and experience declining average costs as production expands. International trade expands the size of their market causing average costs decline lowering prices. Lower prices and greater variety increase consumer welfare. The value to consumers from greater variety is estimated to equal $300 billion per year. Chapter 9: Trade Policy While the U.S. has reduced trade restrictions, the tariffs that remain in place are at relatively low levels. Tariffs are a tax on imports. What is the impact(s) of an import tariff? We can analyze this using supply and demand. To understand the overall impact on consumers, producers, and the economy, we can use consumer and producer surplus. Consumer surplus = the total dollar amount you are willing to pay for a given quantity of a good minus the total dollar amount you actually pay for the given quantity of the good. It is the area under the demand curve and above price. It is a measure of consumer welfare capturing the net benefits for consumers from trading in a market. It is measured in dollars. Graph 5 Consumer Surplus Producer surplus = the total dollar amount a seller receives for a given quantity of a good (total revenue) minus the minimum total dollar amount a seller must receive for the given quantity of the good so they would be willing to produce and sell the product (total variable cost). It is the area above the supply curve and below price. Because the supply curve captures only variable costs, it does not equal profit. It is measured in dollars. Graph 6 Producer Surplus Graph 7 - Total Surplus P = the domestic price of the good. Pw = the world price of the good, When Pw < P a country will import the good or service. When Pw > P a country will export the good or service. Graph 8 Import Tariff Free Trade: Consumer surplus = a+b+c+d+e+f Producer surplus = g Trade with Tariff: Consumer surplus = a+b Producer surplus = g+c Net reduction in consumer surplus = a+b+c+d+e+f a+b = c+d+e+f Net increase in producer surplus = g+c g = c e = tariff revenue (This area is a quota rent under an import quota. It is captured by the government if licenses are auction off. If the government gives the licenses to domestic importers (foreign exporters), importers (foreign exporters) capture the area. f = lost consumer surplus, Qd is lower because of the higher price. d = higher cost associated with producing the additional output rather than importing the good. f + d = deadweight loss of the tariff or net loss to society. U.S. Sugar Quota: c = $1.2 billion per year, d = $300 million per year f = $50 million per year, and c= $100 million per year (foreign sugar suppliers some of whom are U.S. growers. This works out to approximately $500,000 per farmer and $5 per consumer. Farmers lobby and make campaign contributions to both parties while consumers do not. Farmers are a small homogeneous group the is geographically concentrated so organization costs are low. This is not true for consumers. The higher cost of sugar has caused candy companies to move off shore. Estimates of the increased cost to consumers per job saved averaged $168,177 per year over 21 sectors in the U.S. using data from 1990. This is three times the average wage in manufacturing. Cost to Consumers per Job Saved per Year by the Import Restriction Textiles$202,061Sugar$600,177Lumber$758,678Machine Tools$348,329Costume Jewelry$96,532Benzenoid Chemicals$1,000,000Apparel$138,666 Source: Hufbauer and Elliott, 1994, Measuring the Costs of Protection in the U.S. Regional Trade Agreements These are agreements between a group of countries to provide preferential access to their economies to the other countries that are part of the agreement. These countries cannot impose higher restrictions on non-members. NAFTA is a free-trade area between the U.S., Canada, and Mexico. A monetary union has one currency. Europe and the U.S. have common currencies. These kinds of agreements cause trade creation and trade diversion. Trade Creation: Switching imports from a higher cost country to a lower cost country that is a member of the agreement. This is your standard gains from trade when you remove a tariff. This increases country welfare. Trade Diversion: Switching imports from the lowest cost country that is not a member (that still has a tariff on its product) to a higher cost member country (that no longer has a tariff on its product). This lowers country welfare. So long as trade creation is greater than trade diversion, there is a net improvement in country welfare. CHAPTER 18 INTRO TO OPEN-ECONOMY MACROECONOMICS Exports goods and services that are produced domestically and sold abroad (EX). Imports goods and services that are produced abroad and sold domestically (IM). Net Exports = NX = trade balance = exports imports NX > 0 ( EX > IM ( trade surplus NX < 0 ( EX < IM ( trade deficit A closely related measure of international transactions in the current account balance. Fig. 1 P. 381 exports and imports as a share of GDP. They have significantly increased over the last 50 years. Why? 1. Lower transportation costs large container ships and cheaper air transportation. 2. Better telecommunications more information at lower costs. 3. More trade in light high value products like movies. 4. Trade policy there has been a significant reduction in trade restrictions (tariffs and quotas). Net Capital Outflow = NCO = (old name was net foreign investment) = the purchase of foreign assets by domestic residents minus the purchase of domestic assets by foreigners. A U.S. citizen buys a Japanese stock or bond ( NCO increases A Japanese citizen buys a U.S. stock or bond ( NCO decreses NCO: 1. Foreign Direct Investment results in more than 10% ownership in a company (implies more active management role). 2. Foreign Portfolio Investment results in less than 10% ownership in a company (implies more passive management role). NX = NCO NX measures a countrys trade imbalance with the rest of the world. Interaction with world in the goods markets. NCO measures a countrys financial imbalance with the rest of the world. Interaction with world in financial markets. This is an identity, so it must always be true and be equal. The two imbalances must always offset each other. Anything that effects NX must effect NCO or have a NX offset. EXAMPLES 1. U.S. firm exports a tractor to Mexico paid for in Pesos. Both NX and NCO increase by equal amounts. More exports and an increase in the holding of foreign assets. 2. Suppose the exporter doesnt want to hold pesos. They sell the pesos to someone in U.S. who does want pesos. That person might buy some stock in Mexico. Again, both NX and NCO increase. 3. Again, the exporter trades the pesos for dollars. The holder of pesos buys (imports) corn from Mexico. Both exports and imports increase so NX doesnt change. There is an important relationship between saving, investment, NX, and NCO. Y = C + I + G + NX Y C G = I + NX S = I + NX or S = I + NCO since NX = NCO Every dollar saved is used to finance either domestic investment (domestic capital formation) or foreign investment (foreign capital formation). S I = NX or NCO NX < 0 implies NCO < 0 ( S < I We are borrowing from the rest of the world. Foreigners increase their holdings of our assets (NCO falls). Graph Show the capital market with S < I and borrowing. or Y (C + I + G) = NX So if NX<0 then Y < C + I + G which means expenditures are greater than domestic output with the difference being made up with imports. S I = NX or NCO NX > 0 implies NCO > 0 ( S>I (This has been Japan) They are lending to the rest of the world and increasing their holdings of foreign (U.S.) assets. Japans NCO increases. Graph Over the last 20 years, S < I so NX < 0. Why? During the 1980s budget deficit reduced S while I remained strong. During the 1990s, technology investment boom increased I relative to S. Important, without international borrowing, we would have had less investment and capital formation. As a result, the capital stock, productivity, and real wages would have been lower. We are better off be able to borrow to world markets. EXCHANGE RATES: Different currencies are traded in what is called the foreign exchange market. Exchange rates can be flexible or fixed. The market determines the value of a currency in a flexible exchange rate system. An example of this type of system is the U.S and Japan. Alternatively, the government can set the value of their currency. This is a fixed exchange rate system. In order to fix the exchange rate, the government must be willing to buy and sell the currency in unlimited quantities. An example of this is China. More than two trillion dollars worth of currency is traded globally every day. When you trade a currency for immediate delivery, that trade is a spot market transaction. If you trade a currency for delivery in the future, that trade is forward or futures market transaction. We will not talk about forward markets in this class. Exchange rate = e = yen/dollar = 118.02 yen on 7/2/03 1/e = dollar/yen = $ .008473 Increase e is a dollar appreciation or a yen depreciation (1/e falls). e = 130 yen => 1/e = $.0077 Decrease e is a dollar depreciation or a yen appreciation (1/e rises). e = 110 yen => 1/e = $.0091 Yen/dollar exchange rate graph: You can think about as the supply and demand for dollars or yen. You are trading one currency for another. S$ = U.S. imports and investments abroad. D$ = U.S. exports and foreign investment in the U.S. S = Japanese imports and investments abroad. D = Japanese exports and foreign investment in Japan. Any transaction that increases (decreases) the supply of dollars must also increase (decrease) the demand for yen. Any transaction that increases (decreases) the supply of yen must also increase (decrease) the demand for dollars. Example 1: The U.S. imports more from Japan because U.S. economy grows faster(increases S$). Example 2: Japan invests more in the U.S. because U.S. interest rates have increased relative to Japanese interest rates (increases the demand for dollars). Homework 1. Suppose Japan starts growing faster than the U.S. Illustrate and explain. 2. Suppose Japanese interest rates increase relative to U.S. interest rates. Illustrate and explain. Example of a fixed exchange rate (Chinese currency is called yuan or Renminbi) On 7/19/10 1 Chinese yuan = $0.1476 Graphically The Chinese government must buy any excess supply of yuan or sell yuan when there is an excess demand for yuan in order to keep the exchange rate fixed. The fixed exchange rate provides stability. The Chinese regulate the flow of capital into and out of China. REAL EXCHANGE RATE: The rate at which a person in one country can trade goods and services for goods and services of another country (international terms of trade or relative price). Real e = (e x P) / P* = yen price of U.S. goods / yen price of Japanese goods Where: e = nominal exchange rate = yen / dollar P = U.S. price level (CPI) P* = foreign or Japanese price level (CPI) EXAMPLE: Relative prices if corn cost twice as much as wheat, then 1 wheat trades for of a corn or 2wheat = 1 corn. Assume: e = 80 yen / $ Price of rice in Japan 16,000 yen / bu Price of rice in U.S. $100 / bu or $100 x 80 yen / $ = 8000 yen. Rice costs half as much in the U.S. as in Japan. bu. Japanese rice = 1 bu. U.S. rice or bu Japanese rice / 1 bu. U.S. rice (note: we define things foreign over U.S.) Real e = e x P / P* = 80 yen x $100 / 16,000 yen = ( bu. rice Japan = 1 bu. rice U.S. The real exchange rate influences exports and imports. Suppose e falls, the dollar depreciates against the yen to 40 yen to the dollar. real e = 40 yen x $100 / 16,000 yen = 4000 yen / 16,000 yen = ( bu of Japanese rice = 1 bu U.S. rice. U.S. rice is now relatively cheaper to Japanese rice (or Japanese rice is relatively more expensive) ( U.S. exports increase and U.S. imports decrease ( increase in NX Real e depreciation ( increase in NX Real e appreciation ( decrease in NX Suppose e rises to 120 yen. The real exchange rate equals = 120 yen x $100/ 16,000 yen = 12,000 yen / 16,000 yen bu of Japanese rice = 1 bu U.S. rice U.S. rice is now relatively expensive so exports fall and imports rice causing NX to fall. PURCHASING POWER PARITY Law of One Price A good must sell for the same price at all locations (net of transportation costs). Suppose the price of wheat is higher in Chicago than St. Louis. People will buy in St. Louis (increasing demand and price) and sell in Chicago (increasing supply lowering price) until prices converge. Graph: Same should be true internationally.&=?H  * B \ ] d B S |    m | *-J^`ePRN`3Dpv[\]ܢ hm>* hYphmjFhYphYpU h%hh%hjh%hho^U hA*>*hA*hA*H*h%hhA*h599ho^hYp hohoho ho5 hm5>* hm5hm;%&>?  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!"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\^_`abcdefghijklmnopqrstuvwxyz{|}~$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd*$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd/$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdu4$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdM9$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd%>$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdB$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdG$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdL$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdQ$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd]V$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd5[$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd `$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdi$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdn$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdms$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdEx$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd}$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd͆$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd}$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytGK$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / / / / /  /  a]pւytGkdU$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytGK$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 /  / / /  / / /  a]pւytGkds$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdi$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdA$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdɷ$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdy$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkdQ$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / / a]pւytGkd)$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lQ(6, 555{5855=555 5  5 85 5 =9 / a]pւytGkd$$Ifl" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!v h555{5855=555 5  5 85 5 =#v#v#v{#v8#v#v=#v#v#v #v #v 8#v #v =:V lKQ(6, 555{5855=555 5  5 85 5 =9 / a]pւytGkd$$IflK" U  "%B('''{'8''='''' '8''=Q(6444444 la]pւytG$$If]!vh5"55=#v"#v#v=:V lQ(6,5"55=9/ >|/ a]pytG$$If]!vh5"55=#v"#v#v=:V lQ(6,5"55=9/ a]pytGw$$If]!vh5Q(#vQ(:V lQ(6,5Q(9/ a]p ytGw$$If]!vh5Q(#vQ(:V lQ(6,5Q(9/ a]p ytGw$$If]!vh5%#v%:V l,%6,5%9/ a]p ytGw$$If]!vh5%#v%:V l %6,5%9/ a]p ytGw$$If]!vh5%#v%:V l%6,5%9/ a]p ytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V lX ւ>|>|>|>|>|>|>|>|>|>|>|>|>|%6, 555V5 55555 5 5  5 5 99 / /  / / / / / / /  / / / / / / / / / a]pւ>|>|>|>|>|>|>|>|>|>|>|>|>|ytGqkdr$$IflX" 0 ; S' "%'''V  '  ' ' ''  '  '  ւ>|>|>|>|>|>|>|>|>|>|>|>|>|%6444444 la]pւ>|>|>|>|>|>|>|>|>|>|>|>|>|ytGw$$If]!vh5%#v%:V lK%6,5%9/ a]p ytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkdu$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkdM$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd%$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd $$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd]$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd5$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd $$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd#$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd($$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd-$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkdm2$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkdE7$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd<$$Ifl" 0 ; S' "%'''V' ''''''' ''%6444444 la]pւytG$$If]!v h555V5 55555 5 5  5 5 #v#v#vV#v #v#v#v#v#v #v #v #v #v :V l%6, 555V5 55555 5 5  5 5 9 / / a]pւytGkd@$$Ifl" 0 ; S' "%'''V' ''''''' 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