An Empirical Comparison of Interest and Growth Rates

Knolle, Julia (2014): An Empirical Comparison of Interest and Growth Rates.

Abstract

This paper investigates methods of assessing dynamic efficiency, points out their shortcomings and develops a new criterion of determining whether or not an economy accumulates too much capital. This criterion is then applied to the OECD countries as well as China. The analysis sheds a new light on recent proposals of raising public debt levels during a time of low interest rates.

• Item Type: MPRA Paper
• Language: English
• Keywords: Overaccumulation; dynamic efficiency; public debt; ponzi games; zero lower bound; WACC.
• Subjects: E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E22 - Investment ; Capital ; Intangible Capital ; Capacity; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E43 - Interest Rates: Determination, Term Structure, and Effects; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O47 - Empirical Studies of Economic Growth ; Aggregate Productivity ; Cross-Country Output Convergence

References

Aaron, H. (1966), ‘The Social Insurance Paradox’, Canadian Journal of Economics and Political Science 32 (3), 371-374.

Abel, A.B. (1987), ‘Operative Gift and Bequest Motives’, American Economic Review 77 (5), 1037-1047.

Abel, A.B., N.G. Mankiw, L.H. Summers, and R.J. Zeckhauser (1989), ‘Assessing Dynamic Efficiency: Theory and Evidence’, Review of Economic Studies 56 (1), 1-19.

Ando, A. and A.J. Auerbach (1988), ‘The Cost of Capital in the United States and Japan: A comparison’, Journal of the Japanese and International Economies 2 (2), 134-158.

Avram, S., F. Figari, C. Leventi, H. Levy, J. Navicke, M. Matsaganis, E. Militaru, A. Paulus, O. Rastringina, and H. Sutherland (2013), ‘The Distributional Effects of Fiscal Consolidation in Nine Countries’, EUROMOD Working Paper No. EM 2/13, 1-45.

Balasko, Y. and K. Shell (1980), ‘The Overlapping-Generations Model, I: The Case of Pure Exchange without Money’, Journal of Economic Theory 23 (3), 281-306.

Ball, L., D.W. Elmendorf, and N.G. Mankiw (1998), ‘The Deficit Gamble’, Journal of Money, Credit and Banking 30 (4), 699-720.

Barbie, M., M. Hagedorn, and A. Kaul (2001), ‘Government Debt as Insurance against Macroeconomic Risk’, IZA DP No. 412, 1-54.

Barbie, M., M. Hagedorn, and A. Kaul (2004), ‘Assessing Aggregate Tests of Efficiency for Dynamic Economies’, Topics in Macroeconomics 4 (1), 1-15.

Barbie, M. and A. Kaul (2009), ‘The Zilcha Criterion for Dynamic Inefficiency Reconsidered’, Economic Theory 40 (2), 339-348.

Barro, R.J. (1974), ‘Are Government Bonds Net Wealth?‘, Journal of Political Economy 82 (6), 1095-1117.

Berk, J. and P. DeMarzo (2011), Corporate Finance, 2nd ed. Global ed., Pearson, Harlow.

Bernanke, B. (2005), ‘The Global Savings Glut and the US Current Account Deficit’, Sandridge Lecture Speech, March, 1-12.

Billingsley, P. (1995), Probability and Measure, 3rd ed., Wiley, New York.

Blanchard, O. and P. Weil (2001), ‘Dynamic Efficiency, the Riskless Rate, and Debt Ponzi Games under Uncertainty’, Advances in Macroeconomics 1 (2), 1-21.

Bohn, H. (1995), ‘The Sustainability of Budget Deficits in a Stochastic Economy’, Journal of Money, Credit and Banking 27 (1), 257-271.

Bos, F. (2007), ‘Compiling the National Accounts Demystified’, Statistics Netherlands, National Accounts Occasional Paper No. NA-095, 1-37.

Bos, F. (2013), ‘Meaning and Measurement of National Accounts Statistics’, MPRA Paper No. 44970, 1-40.

Brealey, R.A., S.C. Myers, and F. Allen (2014), Principles of Corporate Finance, 11th ed. McGraw-Hill, New York.

Breyer, F. (1989), ‘On the Intergenerational Pareto Efficiency of Pay-as-you-go Financed Pension Systems’, Journal of Institutional and Theoretical Economics 145 (4), 643-658.

Bruner, R.F., K.M. Eades, R.S. Harris, and R.C. Higgins (1998), ‘Best Practices in Estimating the Cost of Capital: Survey and Synthesis’, Financial Practice and Education 8, 13-28.

Bundesbank (2013), ‘Low Interest Rates: Making Sovereign Debt Easy’.

Caselli, F. and J. Feyrer (2007), ‘The Marginal Product of Capital’, Quarterly Journal of Economics 122 (2), 535-568.

Cass, D. (1965), ‘Optimum Growth in an Aggregative Model of Capital Accumulation’, Review of Economic Studies 32 (3), 233-240.

Cass, D. (1972), ‘On Capital Overaccumulation in the Aggregative, Neoclassical Model of Economic Growth: A Complete Characterization’, Journal of Economic Theory 4 (2), 200-223.

Chattopadhyay, S. (2008), ‘The Cass Criterion, the Net Dividend Criterion, and Optimality’, Journal of Economic Theory 139 (1), 335-352.

Christensen, L.R. (1971), ‘Entrepreneurial Income: How Does It Measure Up?’, American Economic Review 61 (4), 575-585.

Dean, A. and M. Kretschmer (2007), ‘Can Ideas Be Capital? Factors of Production in the Postindustrial Economy: A Review and Critique’, Academy of Management Review 32 (2), 573-594.

Diamond, P.A. (1965), ‘National Debt in a Neoclassical Growth Model’, American Economic Review 55 (5), 1226-1150.

Domar, E.D. (1946), ‘Capital Expansion, Rate of Growth, and Employment’, Econometrica 14 (2), 137-147.

Eggerston, G.B. and P. Krugman (2012), ‘Debt, Deleveraging, and the Liquidity Trap: A Fisher-Minsky-Koo Approach’, Quarterly Journal of Economics 127 (3), 1469-1513.

Eichengreen, B., D. Park, and K. Shin (2012), ‘When Fast-Growing Economies Slow Down: International Evidence and Implications for China’, Asian Economic Papers 11 (1), 42-87.

Fama, E.F. and K.R. French (2002), ‘The Equity Premium’, Journal of Finance 57 (2), 637-659.

Feldstein, M. and L. Summers (1977), ‘Is the Rate of Profit Falling?’, Brookings Papers on Economic Activity 1977 (1), 211-228.

Feldstein, M. (1977), ‘Does the United States Save Too Little?’, American Economic Review 67 (1), Papers of the Eighty-ninth Annual Meeting of the American Economic Association, 116-121.

Friend, I. and I. Tokutsu (1987), ‘The Cost of Capital to Corporations in Japan and the U.S.A.’, Journal of Banking & Finance 11 (2), 313-327.

Geerolf, F. (2013), ‘Reassessing Dynamic Efficiency’, mimeo, 1-36. Gerschenkron, A. (1962). Economic Backwardness in Historical Perspective. Harvard University Press, Cambridge.

Goldsmith, R.W. (1985), Comparative National Balance Sheets: A Study of Twenty Countries, 1688-1979. University of Chicago Press, Chicago.

Handelsblatt (2014), ‘Niedrigzinsen bescheren Bund Milliarden’.

Hansen, A.H. (1939), ‘Economic Progress and Declining Population Growth’, American Economic Review 29 (1), 1-15.

Harrod, R.F. (1939), ‘An Essay in Dynamic Theory’, Economic Journal 49 (193), 14-33.

Hayashi, F. and E.C. Prescott (2002), ‘The 1990s in Japan: A Lost Decade’, Review of Economic Dynamics 5 (1), 206-235.

Homburg, S. (1991), ‘Interest and Growth in an Economy with Land’, Canadian Journal of Economics 24 (2), 450-459.

Homburg, S. (1992), Efficient Economic Growth, Springer, Berlin.

Homburg, S. (2013), ‘Finanzielle Repression – Realität oder Mythos?’, in „Finanzielle Repression – ein Instrument zur Bewältigung der Krisenfolgen?“, Wirtschaftsdienst 93 (11), 731-735.

Homburg, S. (2014), ‘Overaccumulation, Public Debt and the Importance of Land’, German Economic Review (forthcoming).

Homburg, S. (2014:2), ‘Property Taxes and Dynamic Efficiency: A Correction’, Economics Letters 123 (3), 327-328.

Homburg, S. (2014:3), ‘Critical Remarks on Piketty’s ‘Capital in the Twenty-first Century’’, Hannover Economic Papers No. 530, 1-9.

Hostettler, S. (2000), Economic Value Added (EVA): Darstellung und Anwendung auf Schweizer Aktiengesellschaften, 4th ed., Haupt, Bern.

Ibbotson, R.G. (1987), Stocks, Bonds, Bills, and Inflation: Market Results for 1926-1986. 1987 Yearbook. R.G. Ibbotson Associates, Inc., Chicago.

IMF (2008), World Economic Outlook April 2008: Housing and the Business Cycle. IMF, Washington, DC.

IMF (2014), World Economic Outlook April 2014: Recovery Strengthens, Remains Uneven. IMF, Washington, DC.

Inada, K. (1964), ‘Some Structural Characteristics of Turnpike Theorems’, Review of Economic Studies 31 (1), 43-58.

Kim, K. and J. Lee (1997), ‘Reexamination of Dynamic Efficiency with Taxation on Land’, Economics Letters 57 (2), 169-175.

Kindleberger, C.P. and R.Z. Aliber (2005), Manias, Panics, and Crashes: A History of Financial Crises, 5th ed., Wiley, New York.

Koopmans, T.C. (1963), ‘On the Concept of Optimal Economic Growth’, Cowles Foundation Discussion Paper 163, 1-38.

Krotter, S. (2004), ‘Kapitalkosten und Kapitalstrukturen ausgewählter deustcher Unternehmen – eine empirische Untersuchung’, Statistisches Bundesamt, Wirtschaft und Statistik 5/2004, 581-587.

Laibson, D. and J. Mollerstrom (2010), ‘Capital Flows, Consumption Booms and Asset Bubbles: A Behavioural Alternative to the Savings Glut Hypothesis’, Economic Journal 120 (544), 354-374.

Malinvaud, E. (1953), ‘Capital Accumulation and Efficient Allocation of Resources’, Econometrica 21 (2), 233-268.

Mishkin, F.S. (1984), ‘The Real Interest Rate: A Multi-Country Empirical Study’, Canadian Journal of Economics 17 (2), 283-311.

Mulligan, C.B. (2002), ‘Capital, Interest, and Aggregate Intertemporal Substitution’, NBER Working Paper No. 9373, 1-45.

O’Connell, S.A. and S.P. Zeldes (1988), ‘Rational Ponzi Games’, International Economic Review 29 (3), 431-450.

Phelps, E. (1961), ‘The Golden Rule of Accumulation: A Fable for Growthmen’, American Economic Review 51 (4), 638-643.

Phelps, E. (1965), ‘Second Essay on the Golden Rule of Accumulation’, American Economic Review 55 (4), 793-814.

Piketty, T. (2014), Capital in the Twenty-first Century. The Belknap Press of Harvard University Press, Cambridge and London.

Ramsey, F.P. (1928), ‘A Mathematical Theory of Saving’, Economic Journal 38 (152), 543-559.

Rangazas, P. and S. Russell (2005), ‘The Zilcha Criterion for Dynamic Inefficiency’, Economic Theory 26 (3), 701-716.

Raut, L.K. (1990), ‘Capital Accumulation, Income Distribution and Endogenous Fertility in an Overlapping Generations General Equilibrium Model’, Journal of Development Economics 34 (1-2), 123-150.

Rhee, C. (1988), ‘Dynamic Efficiency in an Economy With Land’ (unpublished mimeo, Harvard University), published in (1991): Review of Economic Studies 58 (4), 791-797.

Ricardo, D. (1817), The Principles of Political Economy and Taxation. Introduction by F.W. Kolthammer, originally pusblished by J.M. Dent & Sons 1911, Londen; 2004 republication by Dover, New York.

Richter, W.F. (1993), ‘Intergenerational Risk Sharing and Social Security in an Economy with Land’, Journal of Economics, suppl. 7, 91-103.

Romer, C.D. (1989), ‘The Prewar Business Cycle Reconsidered: New Estimates of Gross National Product, 1869-1908’, Journal of Political Economy 97 (1), 1-37.

Romer, D. (2012), Advanced Macroeconomics, 4th ed. McGraw-Hill, New York.

Samuelson, P.A. (1958), ‘An Exact Consumption-Loan Model of Interest with ot without the Social Contrivance of Money’, Journal of Political Economy 66 (6), 467-482.

Scholten, U. (1999), Die Förderung von Wohneigentum. Mohr Siebeck, Tübingen.

Schumpeter, J.A. (1954), History of Economic Analysis. Introduction by M. Perlman, originally published by Allen & Unwin 1954, London; 2006 edition published by Taylor & Francis e-Library.

Sharfman, M.P. and C.S. Fernando (2008), ‘Environmental Risk Management and the Cost of Capital’, Strategic Management Journal 29 (6), 569-592.

Sharpe, W.F. (1964), ‘Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk’, Journal of Finance 19 (3), 425-442.

Shell, K. (1971), ‘Notes on the Economics of Infinity’, Journal of Political Economy 79 (5), 1002-1011.

Sinn, H.-W. (2014), Talk on “Macroeconomics of Austerity” at the annual meeting of the American Economic Association, January 4th.

Solow, R.M. (1956), ‘A Contribution to the Theory of Economic Growth’, Quarterly Journal of Economics 70 (1), 65-94.

Stolowy, H., M. Messner, T. Jeanjean, and C.R. Baker (2014), ‘The Construction of a Trustworthy Investment Opportunity: Insights from the Madoff Fraud’, Contemporary Accounting Research 31 (2), 354-397.

Summers, L. (2013), “Economic Forum: Policy Responses to Crises” at the 14th Jacques Polak Annual Research Conference of the International Monetary Fund, November 8th.

Summers, L. (2014), Talk on “Macroeconomics of Austerity” at the annual meeting of the American Economic Association, January 4th.

Tirole, J. (1985), ‘Asset Bubbles and Overlapping Generations’, Econometrica 53 (5), 1071-1100.

Tobin, J. (1969), ‘A General Equilibrium Approach To Monetary Theory’, Journal of Money, Credit and Banking 1 (1), 15-29.

Turgot, A.R.J. (1770), Reflections on the Formation and Distribution of Riches. English translation 1898: Macmillan, New York.

Weber, J., U. Bramsemann, C. Heineke, , and B. Hirsch (2004), Wertorientierte Unternehmenssteuerung: Konzepte – Implementierung – Praxisstatements, Gabler, Wiesbaden.

Weil, P. (1987), ‘Love Thy Children: Reflections on the Barro Debt Neutrality Theorem’, Journal of Monetary Economics 19 (3), 377-391.

von Weizsäcker, C.-C. (1979), ‘Das eherne Zinsgesetz‘, Kyklos 32 (1-2), 270-282.

von Weizsäcker, C.-C. (2014), ‘Public Debt and Price Stability‘, German Economic Review 15 (1), 42-61.

Zilcha, I. (1990), ‘Dynamic Efficiency in Overlapping Generations models with Stochastic Production’, Journal of Economic Theory 52 (2), 364-379.

Zilcha, I. (1991), ‘Characterizing Efficiency in Stochastic Overlapping Generations Models’, Journal of Economic Theory 55 (1), 1-16.