 Consumption and asset prices with homothetic recursive preferencesMark Fisher and Christian Gilles No 99-17, FRB Atlanta Working Paper from Federal Reserve Bank of Atlanta Abstract: When preferences are homothetic, utility can be expressed in terms of current consumption and a variable that captures all information about future opportunities. We use this observation to express the differential equation that characterizes utility as a restriction on the information variable in terms of the dynamics of consumption. We derive the supporting price system and returns process and thereby characterize optimal consumption and portfolio decisions. We provide a fast and accurate numerical solution method and illustrate its use with a number of Markovian models. In addition, we provide insight by changing the numeraire from units of consumption to units of the consumption process. In terms of the new units, the wealth-consumption ratio (which is closely related to the information variable) is the value of a coupon bond and the existence of an infinite-horizon solution depends on the positivity of the asymptotic forward rate. Keywords: Asset pricing; Consumption (Economics); Interest rates; Wealth (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:fip:fedawp:99-17 Ordering information: This working paper can be ordered from Access Statistics for this paper More papers in FRB Atlanta Working Paper from Federal Reserve Bank of Atlanta Contact information at EDIRC. |
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