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Capm Risk Adjustment For Exact Aggregation Over Financial Assets

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Author Info
BARNETT, WILLIAM A.
LIU, YI
JENSEN, MARK

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Abstract

Barnett originated the Divisia monetary aggregates, which incontinuous time exactly track any monetary aggregator function underperfect certainty. With user costs measuring the prices of theservices of components, Barnett s aggregates are based on FrancoisDivisia s derivation of the Divisia line integral from thefirst-order conditions for optimizing behavior by economic agentsunder perfect certainty. We derive an extended Divisia index fromthe first-order conditions (Euler equations) that apply under risk.Our extended Divisia index is the first extension of index numbertheory into the domain of decision making under risk and therebyproduces a route for the extension of all index number theory topermit non-risk-neutrality. We generate simulated data from amodeled rational consumer and investigate the tracking accuracy ofthe extended Divisia index to the consumer s exact aggregatorfunction.

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File URL: http://journals.cambridge.org/abstract_S1365100597003088
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Publisher Info
Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 1 (1997)
Issue (Month): 02 (June)
Pages: 485-512
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Handle: RePEc:cup:macdyn:v:1:y:1997:i:02:p:485-512_00

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  1. Barnett, William A. & Chauvet, Marcelle, 2008. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," MPRA Paper 10242, University Library of Munich, Germany, revised 04 Sep 2008. [Downloadable!]
    Other versions:
  2. Barnett, William & Keating, John & Kelly, Logan, 2007. "Toward a Bias Corrected Currency Equivalent Index," MPRA Paper 4786, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  3. Travis D. Nesmith, 2005. "Solving stochastic money-in-the-utility-function models," Finance and Economics Discussion Series 2005-52, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  4. Richard G. Anderson & Jason Buol, 2005. "Revisions to user costs for the Federal Reserve Bank of St. Louis monetary services indices," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 735-50. [Downloadable!]
  5. Kelly, Logan, 2007. "Measuring the Economic Stock of Money," MPRA Paper 4914, University Library of Munich, Germany. [Downloadable!]
  6. Barnett, William A. & Chauvet, Marcelle & Tierney, Heather L. R., 2007. "Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach," MPRA Paper 10150, University Library of Munich, Germany, revised 06 Aug 2008. [Downloadable!]
    Other versions:
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