Subjective Discount Factors
AbstractThis paper describes the equilibrium of a discrete-time exchange economy in which consumers with arbitrary subjective discount factors and quasi-homothetic period utility functions follow linear Markov consumption and portfolio strategies. Explicit expressions are given for state prices and consumption-wealth ratios. If utility is logarithmic or endowment growth is i.i.d., then this economy is observationally equivalent to one in which consumers discount geometrically. We provide analytically convenient continuous-time approximations and examine the effects of non-geometric subjective discount factors in an economy in which log endowments are subject to temporary and permanent shocks that are governed by a Feller (1951) square-root process. Hyperbolic and quasi-hyperbolic discount factors can significantly increase the volatility of aggregate wealth and raise the expected excess return on aggregate wealth.
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Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2503.
Date of creation: Jul 2000
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2001-W17, Economics Group, Nuffield College, University of Oxford.
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