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Rev Fin 1990; 3:107-114
© 1990 the Society for Financial Studies


Article

Mean reversion and consumption smoothing

F Black
Goldman Sachs Asset Management, 32 Old Slip, 34th Floor, New York, NY 10004, USA

Abstract

Most models of the evolution of wealth and consumption assume that wealth volatility and risk premium are constant. But in fact, volatility decliners, and risk premium seems to decline, as wealth rises. A model that allows mean reversion in the sense that the risk premium declines as wealth rises can help explain both the 'consumption smoothing puzzle' and the 'equity premium puzzle'. In an example of such a model that gives us an analytic solution, direct and derived risk aversion are both constant, but differ.


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