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A Note on the Derivation of Linear Homogeneous Asset Demand Functions

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  • Benjamin M. Friedman
  • V. Vance Roley

Abstract

Among the numerous familiar sets of specific assumptions sufficient to derive mean-variance portfolio behavior from more general expected utility maximization in continuous time, the assumptions of constant relative risk aversion and joint normally distributed asset return assessments are also jointly sufficient to derive asset demand functions with the two desirable (and frequently simply assumed) properties of wealth homogeneity and linearity in expected returns. In addition, in discrete time constant relative risk aversion and joint normally distributed asset return assessments are sufficient to yield linear homogeneous asset demands as approximations if the time unit is small.

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  • Benjamin M. Friedman & V. Vance Roley, 1979. "A Note on the Derivation of Linear Homogeneous Asset Demand Functions," NBER Working Papers 0345, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:0345
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    References listed on IDEAS

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    3. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-371, June.
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    6. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    7. William C. Brainard & James Tobin, 1968. "Pitfalls in Financial Model-Building," Cowles Foundation Discussion Papers 244, Cowles Foundation for Research in Economics, Yale University.
    8. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    9. Friend, Irwin & Blume, Marshall E, 1975. "The Demand for Risky Assets," American Economic Review, American Economic Association, vol. 65(5), pages 900-922, December.
    10. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
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    Cited by:

    1. V. Vance Roley, 1980. "Symmetry Restrictions in a System of Financial Asset Demands: A Theoretical and Empirical Analysis," NBER Working Papers 0593, National Bureau of Economic Research, Inc.
    2. R. Glenn Hubbard, 1984. "Social Security and Household Portfolio Allocation," NBER Working Papers 1361, National Bureau of Economic Research, Inc.
    3. Jeffrey A. Frankel & William T. Dickens, 1983. "Are Asset Demand Functions Determined by CAPM?," NBER Working Papers 1113, National Bureau of Economic Research, Inc.
    4. Benjamin M. Friedman, 1982. "Federal Reserve Policy, Interest Rate Volatility, and the U.S. Capital Raising Mechanism," NBER Working Papers 0917, National Bureau of Economic Research, Inc.
    5. V. Vance Roley, 1980. "A Disaggregated Structural Model of the Treasury Securities, Corporate Bond, and Equity Markets: Estimation and Simulation Results," NBER Technical Working Papers 0007, National Bureau of Economic Research, Inc.
    6. Benjamin M. Friedman, 1980. "Effects of Shifting Saving Patterns on Interest Rates and Economic Activity," NBER Working Papers 0587, National Bureau of Economic Research, Inc.
    7. Benjamin M. Friedman, 1985. "Crowding Out or Crowding In? Evidence on Debt-Equity Substitutability," NBER Working Papers 1565, National Bureau of Economic Research, Inc.
    8. Benjamin M. Friedman, 1981. "Debt Management Policy, Interest Rates, and Economic Activity," NBER Working Papers 0830, National Bureau of Economic Research, Inc.
    9. Benjamin M. Friedman, 1979. "The Determination of Long-Term Interest Rates: Implications for Monetary and Fiscal Policies," NBER Working Papers 0366, National Bureau of Economic Research, Inc.
    10. V. Vance Roley, 1980. "The Effect of Federal Debt Management Policy on Corporate Bond and Equity Yields," NBER Working Papers 0586, National Bureau of Economic Research, Inc.
    11. David S. Jones & V. Vance Roley, 1981. "Bliss Points in Mean-Variance Portfolio Models," NBER Technical Working Papers 0019, National Bureau of Economic Research, Inc.

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