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The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk

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Author Info
William A. Barnett (Washington University in St. Louis)
Yi Liu (University of S. Alabama)

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Abstract

This paper extends the field of index number theory to the case of risk, by deriving the Divisia index from the Euler equations under risk, rather than from the first order conditions under perfect certainty, as was done by Francois Divisia. The result is an extended Divisia index which corrects for risk by subtracting from each risky user cost price a CCAPM beta term. The formula is derived and illustrated in terms of aggregation over monetary assets that yield risky return paid at the end of the period. Hence the beta correction is a function of the covariance between each rate of return and the consumption stream, and also depends upon the degree of risk aversion.

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Publisher Info
Paper provided by EconWPA in its series Finance with number 9602001.

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Length: 24 pages
Date of creation: 12 Feb 1996
Date of revision:
Handle: RePEc:wpa:wuwpfi:9602001

Note: Type of Document - Microsoft Word; prepared on Macintosh; to print on Postscript; pages: 24 ; figures: None.. See
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Related research
Keywords: CAPM Divisia aggregation index risk money;

Find related papers by JEL classification:
G1 - Financial Economics - - General Financial Markets
E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. William Barnett, 2005. "Monetary Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200510, University of Kansas, Department of Economics, revised Mar 2005. [Downloadable!]
    Other versions:
  2. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September. [Downloadable!] (restricted)
  3. Blackorby, C. & Davidson, R. & Schworm, W., 1990. "Implicit Separability: Characterisation And Implications For Consumer Demands," G.R.E.Q.A.M. 90a16, Universite Aix-Marseille III.
    Other versions:
  4. Blackorby Charles & Russell R. Robert, 1994. "The Conjunction of Direct and Indirect Separability," Journal of Economic Theory, Elsevier, vol. 62(2), pages 480-498, April. [Downloadable!] (restricted)
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  5. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-83, October. [Downloadable!] (restricted)
  6. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March. [Downloadable!] (restricted)
  7. Blackorby, Charles & Schworm, William, 1984. "The Structure of Economies with Aggregate Measures of Capital: A Complete Characterization," Review of Economic Studies, Blackwell Publishing, vol. 51(4), pages 633-50, October. [Downloadable!] (restricted)
  8. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149. [Downloadable!] (restricted)
  9. William A. Barnett & Melvin Hinich & Piyu Yue, 1989. "Monitoring monetary aggregates under risk aversion," Proceedings, Federal Reserve Bank of St. Louis, pages 189-245.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. William A. Barnett & Yi Liu, 1996. "Beyond the Risk Neutral Utility Function," Macroeconomics 9602001, EconWPA. [Downloadable!]
  2. Obben, James & Nugroho, Agus Eko, 2003. "Determinants Of The Funding Volatility Of Indonesian Banks: A Dynamic Model," Discussion Papers 23700, Massey University, Department of Applied and International Economics. [Downloadable!]
  3. Binner, Jane & Elger, Thomas & de Peretti, Philipe, 2002. "Is UK Risky Money Weakly Separable? A Stochastic Approach," Working Papers 2002:13, Lund University, Department of Economics. [Downloadable!]
  4. William A. Barnett, 1996. "Which Road Leads to Stable Money Demand?," Macroeconomics 9611001, EconWPA. [Downloadable!]
    Other versions:
  5. Wesche, Katrin, 1996. "Aggregating Money Demand in Europe with a Divisia Index," Discussion Paper Serie B 392, University of Bonn, Germany. [Downloadable!]
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