IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/0345.html
   My bibliography  Save this paper

A Note on the Derivation of Linear Homogeneous Asset Demand Functions

Author

Listed:
  • 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.

Suggested Citation

  • 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
    Note: ME
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w0345.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    2. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 537-542.
    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.
    4. Hakansson, Nils H, 1970. "Optimal Investment and Consumption Strategies Under Risk for a Class of Utility Functions," Econometrica, Econometric Society, vol. 38(5), pages 587-607, September.
    5. Stephen A. Ross, 1975. "Uncertainty and the Heterogeneous Capital Good Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 133-146.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Benjamin M. Friedman & V. Vance Roley, 1985. "Aspects of Investor Behavior Under Risk," NBER Working Papers 1611, National Bureau of Economic Research, Inc.
    2. 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.
    3. Benjamin M. Friedman, 1985. "The Substitutability of Debt and Equity Securities," NBER Chapters, in: Corporate Capital Structures in the United States, pages 197-238, National Bureau of Economic Research, Inc.
    4. Merton, Robert C., 1993. "On the microeconomic theory of investment under uncertainty," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 13, pages 601-669, Elsevier.
    5. Benjamin M. Friedman, 1983. "The Substitutability of Debt and Equity Securities," NBER Working Papers 1130, National Bureau of Economic Research, Inc.
    6. Merton, Robert, 1990. "Capital market theory and the pricing of financial securities," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 11, pages 497-581, Elsevier.
    7. Benjamin M. Friedman, 1980. "The Effect of Shifting Wealth Ownership on the Term Structure of Interest Rates," NBER Working Papers 0239, National Bureau of Economic Research, Inc.
    8. Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March.
    9. Gavious, Arieh & Kedar-Levy, Haim, 2013. "The speed of stock price discovery," Journal of Financial Intermediation, Elsevier, vol. 22(2), pages 245-258.
    10. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457.
    11. Gregory Phelan & Alexis Akira Toda, 2015. "On the Robustness of Theoretical Asset Pricing Models," Department of Economics Working Papers 2015-10, Department of Economics, Williams College.
    12. Sanchez-Romero, Miguel, 2006. "“Demand for Private Annuities and Social Security: Consequences to Individual Wealth”," Working Papers in Economic Theory 2006/07, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    13. Prakash, Arun J. & Chang, Chun-Hao & Pactwa, Therese E., 2003. "Selecting a portfolio with skewness: Recent evidence from US, European, and Latin American equity markets," Journal of Banking & Finance, Elsevier, vol. 27(7), pages 1375-1390, July.
    14. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    15. Michele Costola & Bertrand Maillet & Zhining Yuan & Xiang Zhang, 2024. "Mean–variance efficient large portfolios: a simple machine learning heuristic technique based on the two-fund separation theorem," Annals of Operations Research, Springer, vol. 334(1), pages 133-155, March.
    16. Soosung Hwang & Steve Satchell, 2005. "Valuing information using utility functions: how much should we pay for linear factor models?," The European Journal of Finance, Taylor & Francis Journals, vol. 11(1), pages 1-16.
    17. Emmanuel Jurczenko & Bertrand Maillet & Paul Merlin, 2008. "Efficient Frontier for Robust Higher-order Moment Portfolio Selection," Post-Print halshs-00336475, HAL.
    18. Arturo Lorenzo Valdés & Antonio Ruiz Porras, 2014. "Un modelo Tgarch con una distribución t de student asimétrica y las hipótesis de racionalidad de los inversionistas bursátiles en Latinoamérica," Archivos Revista Economía y Política., Facultad de Ciencias Económicas y Administrativas, Universidad de Cuenca., vol. 19, pages 66-97, Enero.
    19. JÊrÆme B. Detemple & Piero Gottardi, 1998. "Aggregation, efficiency and mutual fund separation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 443-455.
    20. DeMarzo, Peter & Skiadas, Costis, 1998. "Aggregation, Determinacy, and Informational Efficiency for a Class of Economies with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 80(1), pages 123-152, May.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:0345. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.