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Chicago Exam Questions Suggested Reading Syllabus

Chicago. Theory of Distribution. Readings and exam questions. Metzler, 1961-64

 

In the early 1960s Lloyd A. Metzler taught a course at the University of Chicago that offered a mélange of production, capital, fiscal, growth and international trade theories as a/the “theory of distribution”. It is fascinating to see these very different theoretical streams converging on the topic of distribution. 

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ECONOMICS 302
Reading List—Spring, 1961

THEORY OF DISTRIBUTION
L. A. Metzler

Principal Topics and Suggested Reading

I. Production Functions and Income Distribution

Paul H. Douglas, “Are There Laws of Production?” American Economic Review, XXXVIII, No. 1, March 1948.

D. Gale Johnson, “The Functional Distribution of Income in the United States, 1850-1952,” The Review of Economics and Statistics, XXXVI, No. 2, May 1954.

Solomon Fabricant, Basic Facts on Productivity Change, Occasional Paper No. 63, National Bureau of Economic Research.

II. Capital and the Concept of Income

Knut Wicksell, Lectures on Political Economy, Vol. I, Part II.

Frank H. Knight, “The Quantity of Capital and the Rate of Interest,” Part 1, Journal of Political Economy, August, 1936, Part 2, Journal of Political Economy, October, 1936.

T. W. Schultz, “Investment in Human Beings Capital,” American Economic Review, March 1961.

Irving Fisher, The Theory of Interest (1906), reprinted by Kelley and Millman, New York, 1954.

III. Investment and Economic Growth

Evsey Domar, Essays in the Theory of Economic Growth, New York, Oxford University Press, 1957, Chapter 1.

Walter W. Rostow, The Process of Economic Growth, New York, 1952.

Trygve Haavelmo, A Study in the Theory of Investment, University of Chicago Press.

J. M. Keynes, The General Theory of Employment, Interest and Money, Chapters 11-14.

A. P. Lerner, “On the Marginal Product of Capital and the Marginal Efficiency of Investment,” Journal of Political Economy, February, 1953.

James Tobin, “A Dynamic Aggregative Model,” Journal of Political Economy, April, 1955.

IV. The Economic Consequences of Public Debt

James Buchanan, Public Principles of Public Debt, Irwin, 1958.

Lloyd A. Metzler, “Wealth, Saving and the Rate of Interest,” Journal of Political Economy, April, 1951.

Robert A. Mundell, “The Public Debt, Corporate Income Taxes, and the Rate of Interest,” Journal of Political Economy, December, 1960.

J. R. Hicks, “Mr. Keynes and the ‘Classics’: A Suggested Interpretation,” Econometrica, Vol. V, April 1937.

IV. International Trade and the Distribution of Income

Bertil Ohlin, Interregional and International Trade, Harvard University.

Wolfgang Stolper and Paul Samuelson, “Protection and Real Wages,” Review of Economic Studies, IX (1941), 58-73.

David Ricardo, Principles of Political Economy and Taxation, Chapter 7.

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ECONOMICS 302
Reading List—Spring, 1963
[same for Spring, 1964]

THEORY OF DISTRIBUTION
L. A. Metzler

I. Production Functions and Income Distribution

Paul H. Douglas, “Are There Laws of Production?” American Economic Review, XXXVIII, No. 1 (March, 1948).

D. Gale Johnson, “The Functional Distribution of Income in the United States, 1850-1952,” The Review of Economics and Statistics, XXXVI, No. 2 (May, 1954).

Solomon Fabricant, Basic Facts on Productivity Change, Occasional Paper No. 63, National Bureau of Economic Research.

Marvin Frankel, “The Production Function: Allocation and Growth,” American Economic Review, LII, No. 5 (December, 1962).

Kenneth Arrow, Hollis B. Chenery, Nigicha Minhas, and Robert M. Solow, “Capital-Labor Substitution and Economic Efficiency,” Review of Economics and Statistics, XLII, No 3 (August, 1961).

R. M. Solow, “A Skeptical Note on the Constancy of Relative Shares,” American Economic Review, XLVIII (1958).

II. Income, Interest, and the Concept of Capital

Knut Wicksell, Lectures on Political Economy, Vol. I, Part II.

Frank H. Knight, “The Quantity of Capital and the Rate of Interest,” Part I, Journal of Political Economy (August, 1936), Part II, Journal of Political Economy (Oct., 1936).

T. W. Schultz, “Investment in Human Capital,” American Economic Review (March, 1961).

Irving Fisher, The Theory of Interest (1906), reprinted by Kelley and Millman, New York, 1954.

David Meiselman, The Term Structure of Interest Rates, Prentice-Hall, Inc., 1962.

[Handwritten addition:] J. A. G. Grant, “Meiselman on the Structure of Interest Rates: A British Test,” Economica, New Series, Vol. XXXI, No. 121, Feb. 1964.

Friedrich A. Lutz, “The Structure of Interest Rates,” Quarterly Journal of Economics, 1940-41. Reprinted in American Economic Association, Readings in the Theory of Income Distribution (eds.) William Fellner and Bernard Haley.

J. R. Hicks, Value and Capital, Oxford at the Clarendon Press (2d ed.), Parts III and IV.

Lloyd A. Metzler, “Wealth, Saving and the Rate of Interest,” Journal of Political Economy, LIX, No. 2 (April, 1951).

Robert A. Mundell, “The Public Debt, Corporate Income Taxes, and the Rate of Interest,” Journal of Political Economy, LXVIII (December, 1960).

III. Production Functions, Innovations and Economic Growth

Evsey Domar, Essays in the Theory of Economic Growth, New York: Oxford University Press, 1957, Chapter 1.

Walter W. Rostow, The Process of Economic Growth, New York, 1952.

Trygve Haavelmo, A Study in the Theory of Investment, University of Chicago Press.

Hirofumi Uzawa, “On a Two-Sector Model of Economic Growth,” Review of Economic Studies, XXIX, No. 1 (1962).

T. W. Swan, “Economic Growth and Capital Accumulation,” Economic Record, XXXII (1956).

James Tobin, “A Dynamic Aggregative Model,” Journal of Political Economy (April, 1955).

IV. International Trade and the Distribution of Income

Wolfgang Stolper and Paul Samuelson, “Protection and Real Wages,” Review of Economic Studies, IX (1941).

Paul Samuelson, “International Trade and the Equalization of Factor Prices,” Economic Journal, LVIII (1948).

Paul Samuelson, “International Factor Price Equalization Once Again,” Economic Journal, LIX (1949).

Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library. Economists’ Papers Archive. Papers of Lloyd A. Metzler, Box 9, Folder “Reading Lists 300A+B—302”.

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Economics 302
FINAL EXAMINATION
Spring Quarter, 1963

Lloyd A. Metzler
June 4, 1963

Answer all questions:

  1. Give the formula for the Cobb-Douglas production function and prove its implications with respect to the following:
    1. The effects of a uniform increase in capital and labor upon relative and absolute wages and interest rates on the assumption that competitive conditions exist in both the factor markets and the commodities markets.
    2. The effect of a rise in the ratio of capital to labor upon relative and absolute wages, and interest rates again on the assumption of competitive conditions.
  2. Answer the same questions for the C.E.S. production function.
    1. State what is meant by a production function which is homogeneous of the first degree.
    2. Show that if a production function possesses this type of homogeneity, the output per worker depends entirely upon the ratio of capital to labor, and not at all upon the scale of production.
    3. Prove that the Cobb-Douglas production function and the C.E.S. function are both homogeneous of the first degree.
  4. The U. S. Treasury wants to reduce the long-term interest rate so as to encourage investment and at the same time increase the short-term rate so as to prevent short-term capital outflows. For this purpose it has been shortening the term structures of the federal debt. That is, the treasury has been purchasing its long-term bonds and issuing short-term bonds as a substitute.
    1. Show how such an operation might be expected to achieve the desired results.
    2. In view of the expectations hypothesis investigated by David Meiselman, would you expect such an operation to achieve its purpose? Explain carefully.
    1. Distinguish between the expectations hypothesis concerning the term structure of interest rates and the liquidity preference hypothesis and show what each implies with respect to the term structure of interest rates.
    2. Which hypothesis does the historical evidence seem to support?
    3. Is there any way of reconciling the two views?
    1. Given the yield on long-term bonds, R1, R2,…, Rn, show how a series of expected forward rates for one-year bonds r1, r2, r3,…, beginning in years 1, 2, 3, can be derived from the yield table on long term bonds. What operations would a bond holder need to undertake in order to be sure that he would receive these expected forward rates in spite of changes in bond prices?
    2. Derive the formula for the yield of a three-year forward bond, with interest rates applicable at the end of the third year, and show again, how a bondholder can realize this yield through operations in the bond market, regardless of fluctuations in bond prices.

Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library. Economists’ Papers Archive. Papers of Lloyd A. Metzler, Box 9, Folder “Exams 302”.

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ECONOMICS 302
COURSE EXAMINATION — SPRING, 1964

Lloyd A. Metzler
June 9, 1964
1:30—3:30

ANSWER ALL QUESTIONS

  1. In the theory of distribution, it is usual to assume that the production function for output as a whole is homogeneous of the first degree.
    1. What is the meaning of a homogeneous production function?
    2. Show that homogeneity implies that commodities are produced at constant cost.
    3. Show that if the production function is homogeneous of the first degree and all factors of production are paid according to the value of their marginal products, the total amount paid will be exactly equal to the total return.
    4. Is it necessary to have homogeneous production functions to prove this proposition? Why, or why not?
    1. Define “elasticity of substitution” and show what bearing it has on the distribution of income.
    2. The following is a table indicating indexes of units of capital k and the price of capital, pk, as well as the units of workers, w, and the price of workers, pw.
P Price of workers
(pw)		 Units of workers
(w)		 Price of capital
(pk)		 Units of capital
(k)
Period I 1.00 200 2.00 100
Period II 2.00 250 1.00 500

Does this table give any indication as to the elasticity of substitution? Why, or why not?

    1. Define the Cobb-Douglas production function and the C.E.S. production function and show that: Cobb-Douglas production function is homogeneous of the first degree with an elasticity of substitution equal to unity.
    2. Show that the C.E.S. production function is homogeneous of the first degree.
    3. Show that, when \rho approaches zero the C.E.S. production function has an elasticity of substitution equal to unity.
    1. Define and evaluate the capital theories of the following economists:
      (1) T. W. Schultz
      (2) Irving Fisher
      (3) Knut Wicksell
      (4) F. H. Knight
    2. What are Knight’s objections to the notion of a period of production? Why does he believe there are no diminishing returns to the accumulation of capital?
    1. Derive the Harrod-Domar concept of a balanced state of growth, and show why it is inherently unstable.
    2. How is the concept of balanced growth related to Keynes’ theory of employment?
    1. Discuss the following theories of interest, and show how they are related to the term structure of interest rates.
      (1) Liquidity preference.
      (2) Expectations.
      (3) Constitutional weakness in the futures market.
    2. Does a downward-sloping term-to-maturity structure of interest rates conflict with the liquidity-preference theory? Why, or why not?
    3. Assuming that the interest rates for bonds of various maturities are as follows:
      year bonds R1
      2. year bonds R2
      3. year bonds R3
      4. year bonds R4
      5. year bonds R5
      6. year bonds R6
      7. year bonds R7
      8. year bonds R8
      Show how the implicit forward rates for short-term one year bonds r1, r2, r3, r4, r5, r6, r7, r8can be computed from the actual market yields, R1, R2, R3, R4, R5, R6, R7, R8.
    4. Assuming that the market rates are R1, R2, R3, R4, R5, R6, R7, R8, you are asked to derive the rate for a 3 year bond beginning in year 6 and show what market transactions the typical bondholder would have to make to insure that he actually received the interest rate implicit in this formula.

 

Source: Duke University. David M. Rubenstein Rare Book and Manuscript Library. Economists’ Papers Archive. Papers of Lloyd A. Metzler, Box 9, Folder “Exams 302”.

Source Image: Posting by Margie Metzler on the Metzler Family Tree at the genealogical website, ancestry.com.