Multiplicative Background Risk
Günter Franke (),
Harris Schlesinger and
Richard C. Stapleton ()
Additional contact information
Richard C. Stapleton: University of Manchester, Crawford House, Oxford Road, Manchester, M13 9PL, England
Management Science, 2006, vol. 52, issue 1, 146-153
Abstract:
Although there has been much attention in recent years on the effects of additive background risks, the same is not true for its multiplicative counterpart. We consider random wealth of the multiplicative form x\~y\~, where x\~ and y\~ are statistically independent random variables. We assume that x\~ is endogenous to the economic agent but that y\~ is an exogenous and nontradable background risk that represents a type of market incompleteness. Our main focus is on how the presence of the multiplicative background risk y\~ affects risk-taking behavior for decisions on the choice of x\~. We extend the results of Gollier and Pratt (1996) to characterize conditions on preferences that lead to more cautious behavior.
Keywords: affiliated utility function; background risk; diffidence theorem; multiplicative risks; multiplicative risk vulnerability; risk vulnerability (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (63)
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http://dx.doi.org/10.1287/mnsc.1050.0450 (application/pdf)
Related works:
Working Paper: Multiplicative background risk (2003) 
Working Paper: Multiplicative background risk (2002) 
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:52:y:2006:i:1:p:146-153
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