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    Federal Reserve Bank of Minneapolis

    Research Department Staff Report 242

    December 1997

    Needed: A Theory of Total Factor Productivity*

    Edward C. Prescott

    Federal Reserve Bank of Minneapolis

    and University of Minnesota

    ABSTRACT

    This paper evaluates the argument that differences in physical and intangible capital can

    account for the large international income differences that characterize the world economy

    today. The finding is that they cannot. Savings rate differences are of minor importance.

    What is all-important is total factor productivity. In addition, the paper presents industry

    evidence that total factor productivities differ across countries and time for reasons other

    than differences in the publicly available stock of technical knowledge. These findings

    lead me to conclude a theory of TFP is needed. This theory must account for differences

    in TFP that arise for reasons other than growth in the stock of technical knowledge.

    *The views expressed herein are those of the author and not necessarily those of the

    Federal Reserve Bank of Minneapolis or the Federal Reserve System.

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    1820 1840 1860 1880 1900 1920 1940 1960

    0

    10

    20

    30

    40

    50

    60

    70

    80

    Numberofyears

    Year reached 10 percent of 1985 U.S. level

    1980

    Figure 1

    Years for GDP Per Capita To Grow From 10 to 20 Percent of the 1985 U.S. Level(a)

    (a) Because of the wartime interruptions, I used the period that Austria went from .08 to .16 1985 U.S. percapita GDP, the period that Germany went from .05 to .10 of 1985 U.S. per capita GDP, and the period thatItaly went from .075 to .15 of 1985 U.S. per capita GDP.

    Sources: Maddison (1991) and Summers and Heston (1991)

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    49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94

    49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94

    400

    200

    50

    100

    25

    Real Price and Output (1970 = 100)

    Output

    Real Price

    Real Price and Output/Hour (1970 = 100)400

    200

    50

    100

    25

    Real Price

    Output/hour

    Figure 2a

    Figure 2b

    U.S. Subsurface Mining, 1949 - 1994

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    Source: Energy Information Administration, U.S. Department of Energy (1996).The chain linked GDP deflator is used to deflate coal prices for the 1959-94period. For years prior to 1959, I use the implicit price delator (source: EconomicReport of the President1978, p.262) after multiplying by factor 0.99. Thisprocedure gives the same real price for 1959 as does deflating by the 1992 dollar

    chain linked deflator.

    Real Price and Hours (1970 = 100)400

    200

    50

    100

    2549 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94

    Real Price

    Hours

    Figure 2c