The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk
AbstractThis 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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Length: 24 pages
Date of creation: 12 Feb 1996
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CAPM Divisia aggregation index risk money;
Other versions of this item:
- William Barnett & Yi Liu, 2012. "The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201213, University of Kansas, Department of Economics, revised Sep 2012.
- G1 - Financial Economics - - General Financial Markets
- E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
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