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TOPIC 2

TOPIC 2. The Supply Side of the Economy. Goals of Lecture 2. Introduce the Supply Side of the Macro Economy. Discuss how countries grow and why some countries grow faster than others. Discuss Labor Productivity and ‘the New Economy’ Determine How Wages are Set in an Economy

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TOPIC 2

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  1. TOPIC 2 The Supply Side of the Economy

  2. Goals of Lecture 2 • Introduce the Supply Side of the Macro Economy. • Discuss how countries grow and why some countries grow faster than others. • Discuss Labor Productivity and ‘the New Economy’ • Determine How Wages are Set in an Economy • Explain the Differential Unemployment Rates Between the U.S. and Europe.

  3. The Production Function • GDP (Y) is produced with capital (K, price weighted) and labor (N, hours): Y = A F(K,N) • Sometimes, I will modify the production function such that: Y = A F(K,N, other inputs) – where other inputs include energy/oil! • Realistic Example is a Cobb Douglas function for F(.): Y = A K.3 N.7 A is Total Factor Productivity (TFP), an index of efficiency (technology) MUST READ: NOTES 3 (my notes) on the aggregate production function

  4. Measurement • Y is GDP (it is measured in dollars). As noted above, we want to measure Y in “real” dollars.<<you should know what this means from lecture 1>>. • For our Cobb Douglas production function (previous slide), N and K are both measured in dollars. • N often is measured in total wage bill • K often is measured as the replacement cost of capital • However, in practice, N can be measured in different ways (hours worked, number of workers). • Wage bill is the preferred method (takes into account “skill” differentials). • However, we will often talk about standard of livings which is income per capita (Y/N ; where Y is income and N is some population measure).

  5. Features of the Aggregate Production Function Define MPN = Marginal Product of Labor = dY/dN Define MPK = Marginal Product of Capital = dY/dK MPN = .7 A (K/N).3 = .7 (Y/N) Fixing A and K, MPN falls when N increases MPK = .3 A (N/K).7 = .3 (Y/K) Fixing A and N, MPK falls when K increases Increasing A or K, increases MPN Increasing A or N, increases MPK Define Y* as F(N*,K*) = A (N*).7(K*).3

  6. Two Measures of Productivity • Labor Productivity = Y/N = A (K/N).3 Driven by A and K/N • Total Factor Productivity (TFP) = A = Y/F(K,N) • Basically TFP is a ‘catch-all’ for anything that effects output other than K and N. • Workweek of labor and capital • Quality of labor and capital • Regulation • Infrastructure • Competition • Specialization • Innovation (including innovation in management practices) • Changes in “discrimination” or “culture” • Some components of TFP tends to be procyclical • (Definition of Procyclical: Variable increases when Y is high, decreases when Y is low)

  7. Sub-Section A Economic Growth

  8. Growth Accounting Y = A K.3 N .7 (our production function) %ΔY = %ΔA + .3%ΔK + .7%ΔN Output, in a country grows from: Growth in TFP (see entrepreneurial ability, education, roads, technology, etc.) Growth in Capital (machines, equipment, plants) Growth in Hours (workforce, population, labor participation, etc). Perhaps, we care about growth in Y/pop or Y/N (per capita output). %Δ(Y/pop) = %ΔA + .3%Δ(K/pop) + .7%Δ(N/pop) or %Δ(Y/N) = %ΔA + .3%Δ(K/N)

  9. Labor Productivity • U.S. Labor Productivity Growth (Y/N – where N is the number of hours) 1959-1972: 2.9% 1973-1995: 1.5% 1996 - 2008: 2.5% 2001: 2.5% (going into a recession) 2002: 4.1% (coming out of recession) 2003: 3.7% (pretty strong rate) 2004: 2.8% 2005: 1.7% 2006: 0.9% 2007: 1.4% 2008: 2.8% 2009: 0.3% (Q1), 6.9% (Q2), and 8.1% (Q3) Source: http://www.bls.gov/lpc/

  10. Output Per Worker: 1970Q1 – 2009Q3 Red Line: Growth in Output per Worker (quarter over quarter).

  11. Output Per Worker: 1970Q1 – 2009Q3 Red Line: Growth in Output per Worker (Year Over Year).

  12. The Role of Investment Does a one time increase ininvestment today increase Y/N today? YES! Does a one time increase ininvestment today cause a sustained increase in Y/N into the future? No! Back of our mind equations: S = I + NX (From the first lecture). Notice the link between saving and investment. K(t+1) = (1-δ) K(t) + I(t) Definition of Capital Stock Evolution or ΔK(t, t+1) = I(t) - δ K(t) All else equal (ie, holding N constant), increasing I causes K tomorrow to increase causing K/N tomorrow to increase (ie, Y/N tomorrow increases).

  13. Time Path of Capital Stock: One time increase in I K No investment No investment time t+1 Suppose there is a one time increase in investment at time t (perhaps due to an investment tax credit). Suppose no investment either prior to or after the tax credit.

  14. Can Higher Investment lead to infinite growth? Does a sustained increase ininvestment increase Y/N today? YES! Does a sustained increase ininvestment cause a sustained increase in Y/N? No! Suppose I is fixed at a high level and that K initially is sufficiently small. K grows if I > δ K: But, notice that δK is also growing each period. (Summary: To start, higher I will lead to higher K and Y/N will increase). Eventually, however, I will converge towards δK More and more of the investment is going to replace outdated capital and the capital stock will grow by smaller and smaller rates. The increase in Y/N will converge back to zero. Summary. High levels of investment will increase the capital stock and output, but both K and Y will eventually converge to a fixed level.

  15. Time Path of K: Permanent increase in I K The new level of investment has successively less effect due to growing depreciation of the capital stock. No investment time t+1 Suppose there is a permanent increase in investment at time t. Suppose no investment prior to t. In all periods after t, the level of investment remains fixed at the level in t.

  16. Can Higher Investment Growth Cause Infinite Growth? If a one time increase in I gives an increase in Y, why not continuously raise I to higher and higher amounts??? Answer: Diminishing MPK!!! MPK = .3 A (N/K) .7; As K increases, MPK falls. As K goes to infinity, MPK goes to zero (Y stops increasing). Suppose, we keep rising I (each year), K will increase by the amount of I (after controlling for depreciation), but Y will increase by continuously smaller and smaller amounts. Remember Y = C + I + G + NX. I/Y (investment rate) is bounded by 1 (if you invest all your output). This caps the increase in I. I cannot grow forever! Continuously increasing I will NOT lead to sustained economic growth! NOTE: Investment decisions are NOT made in the dark (ie, something must drive firm investment!!!!!)

  17. Then What Does Cause Sustained Growth ? Sustained Increases in the growth of A are the only thing that can cause a sustained growth in Y/N. Empirically, when a country exhibits faster Y/N growth ….. 33% typically comes from growth in K/N 67% typically comes from growth in A (where N = employment (not hours) - limited data).

  18. Growth Across Countries Most developed economies grow at the same rate that the “technological frontier” grows. Convergence – countries inside of the technological frontier move towards the technological frontier. Divergence – countries inside of the technological frontier grow at a rate less than the technological frontier.

  19. Some Data: Distribution of World GDP in 2000 From Barro, 2003 – includes 147 countries. Horizontal axis is a log scale. All data are in 1995 U.S. dollars.

  20. Some Data: Distribution of World GDP in 1960 From Barro, 2003 – includes 113 countries. Horizontal axis is a log scale. All data are in 1995 U.S. dollars.

  21. Growth Rate of GDP Per Capita: 1960 - 2000 From Barro, 2003 – includes 111 countries.

  22. Relative Growth Rate of GDP Per Capita: 1960 - 1988 US is anchored at 1 in both years. Countries above the line have made gains relative to U.S.

  23. Convergence of Income Across U.S. States: 1940 - 1980

  24. Convergence of Income Across U.S. States: 1980 - 2000

  25. The Importance of Economic Growth Baseline: Y/person in U.S. grows roughly by 2%/year (real). Assume a constant growth rate of 2% per year (real) for next 30 years. After 30 years, U.S. Y/person will be 81% higher than today. Scenario 1: Major recession today Suppose U.S. Y/person contracts 3% this year and next and then grows at 2% for next 28 years. After 30 years, U.S. Y/person will be 64% higher than today.

  26. The Importance of Economic Growth Scenario 2: Major recession today and we fight it using tax and spending policy with little detriment to future growth Suppose U.S. Y/person grows at -1% this year, 0% next and then grows at 1.9% for next 28 years. After 30 years, U.S. Y/person will be 68% higher than today. Take Away: Y/person in the future is HIGHER relative to doing nothing! 68% > 64%

  27. The Importance of Economic Growth Scenario 3: Major recession today and we fight it using tax and spending policy with BIG detriment to future growth Suppose U.S. Y/person grows at -1% this year, 0% next and then grows at 1.7% for next 28 years. After 30 years, U.S. Y/person will be 59% higher than today. Take Away: Y/person in the future is LOWE relative to doing nothing! 59% < 64% Conclusion: Fighting recessions today may have affects on future growth. Benefits of fighting recession depends on whether the policies used to prevent the recession affect future growth!

  28. Bonus Section New Research Project: Discrimination and Economic Growth (Trying to Shed Light on the Black Box of TFP Growth) Erik Hurst and Chang Tai Hsieh

  29. Measuring TFP • The way TFP is usually measured is via a statistical decomposition (referred to as the “Solow Residual”). • Remember our assumed production function: Y = AK.3N.7 • Take logs of the production function • ln(Y) = ln(A) + α0ln(K) + α1ln(N) (where α0 = 1 – α1 ≈ 0.3) (1) • Given that we measure Y, K and N in the data, we can estimate (1) using standard regression techniques. • ln(A) is the constant from the regression. This is our standard TFP measure.

  30. Measuring TFP Because A (TFP) is a catch all term for anything that affects production, the assumed production function does not impose any structure on how to measure the components of TFP. Economists are very good at measuring the extent to which TFP changes over time within a country. It is much harder to measure “why” TFP has changed over time. Economists try to measure this by using detailed firm and household level data to measure production and wages.

  31. Our Project Question: How much of the observed TFP growth in the U.S. since 1940 is due to better labor market outcomes (including human capital formation) for blacks and women? A better allocation of resources leads to higher economic growth! There have been HUGE changes in the allocation of women and blacks in the labor market since 1940. Question: How much of the convergence of the U.S. south to the U.S. north is due to a decline in discrimination of the south? Project is still in its early stages. We do not have a TFP number yet – but, we have a bunch of interesting facts.

  32. Black Men Occ. Distribution and Wages (Relative to White Men)

  33. White Women Occ. Distribution and Wages (Relative to White Men)

  34. Black Women Occ. Distribution and Wages (Relative to White Men)

  35. Labor Force Participation (Fraction Working Full Time 21-65)

  36. Labor Force Participation (Fraction Working Full Time 21-65)

  37. Sub-Section B The Labor Market

  38. Labor Market: Firm Profit Decisions • In a competitive market, firms can sell as much Y as it wants at the going price p, and can hire as much N as it wants at the going wage w. • Facing w and p, a profit maximizing firm will hire N to the point were MPN = w/p (the benefit from an additional worker (in terms of additional output) must equal the cost which they are paid). <<This is straight from micro>> • With Cobb-Douglas: MPN = .7 Y/N = .7 A (K/N).3 • If firms maximize profits: w/p = .7 Y/N = .7 A (K/N).3 • If MPN > w/p then the firm can increase profits by increasing N. • If MPN < w/p then the firm can increase profits by decreasing N.

  39. The Labor Demand Curve real wage w/p * MPN = Nd N N*

  40. Notes on the Labor Demand Curve • Nd slopes downward (Nd = MPN = .7A * (K/N).3) • Nd rises with A and K (complementarity) • Assumption: Y is not Fixed! Firms optimally chose, N, K, Y and (to some extent) A to maximize profits. • Caveat: Who says that there is a demand for more Y? • Need to look at the demand side of economy (introduced last -discussed in depth throughout the course).

  41. The Other 1/2 of the Labor Market: Labor Supply • Labor Supply (Ns) Results from Individual Optimization Decisions • Households compare benefits of working (additional lifetime resources) with cost of working (forgone leisure) • Factors Affecting Labor Supply • The Real Wage (w/p) • The Household’s Present Value of Lifetime Resources (PVLR) • The Marginal Tax Rate on Labor Income (tn) • The Marginal Tax Rate on Consumption (tc) • Value of Leisure (reservation wage) - non-’work’ status (VL) • The Working Age Population (pop)

  42. The Labor Supply Curve Ns(PVLR, tc, tn, pop, VL) w/p N

  43. Labor Supply Notes • In terms of ‘wages and earnings’, there is both an income and substitution effect - we will look at them separately – in the real world, they often occur jointly!!!! • The Real Wage - HOLDING PVLR fixed: A higher w/p encourages individuals to substitute away from leisure and toward work (leisure becomes more expensive). This is a substitution effect. <<This is why the labor supply curve slopes upwards!!>> • Estimating this substitution effect is difficult since PVLR is not easily held constant. Estimates range from 0 - 2% (For a 1% increase in after-tax w/p holding PVLR fixed, labor supply either increases by 0% or 2%). Very Wide Range – little consensus. • PVLR = initial wealth + present discounted value of earnings • A higher PVLR induces individuals to work less (lower Ns) for a given after-tax wage, allowing them to enjoy more leisure (If leisure is preferred to work – as I get richer, I can afford to work less). • PVLR is net of taxes and non-work governmental transfers and inclusive of all other transfers.

  44. Labor Supply Notes • Marginal tax rate on labor income - Should have same substitution effect as the before tax real wage. Studies of the 1986 U.S. Tax Reform found that only high-earning married women worked more in response to lower marginal income tax rates. • Marginal tax rate on consumption - see above • Value of Leisure - If leisure/no-work becomes more/less attractive, households will less/more (reservation wage). (Welfare programs, child care, etc.). • Working Age Population: Usually defined as 16-64. (Includes changes in Labor Force Participation Rates)

  45. Recap on Labor Supply • Substitution Effect: • For a given PVLR, a higher after tax wage increases NS. • This is why Labor Supply Curve Slopes Upward • Income Effect • For a given after-tax wage, higher PVLR decreases Ns. • Evidence: • Weak Consensus is that, with equal (%) increase in PVLR and the after-tax wage, Ns falls (income effect dominates). • A must read: Notes 4 (on labor markets) in the course pack.

  46. Temporary Increase in A Ns(PVLR, tc, tn, pop, VL) w/p w/p * N d(A,K) N N*

  47. Permanent Increase in A Ns(PVLR, tc, tn, pop, VL) w/p w/p * N d(A,K) N N*

  48. Can Technological Progress destroy jobs? Facts: A, N, w/p are trending up over time. N/pop is trending down (except in U.S. since 1980). Higher A countries have higher w/p and lower N/pop. Implications: Adjusting for pop, higher A goes with lower N. Higher A reduces Nd and destroys jobs? - NO! Labor Demand Increases. Higher A increases PVLR and reduces Ns - The Effect on Labor Demand is to fall.

  49. Permanent Increase in pop ... Ns(PVLR, tc, tn, pop, VL) w/p w/p * N d(A,K) N N*

  50. Population and Jobs

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