Incomplete Continuous-Time Securities Markets with Stochastic Income Volatility

Peter O. Christensen and Kasper Larsen

The Review of Asset Pricing Studies, 2014, vol. 4, issue 2, 247-285

Abstract: We derive closed-form solutions for the equilibrium interest rate and market price of risk processes in an incomplete continuous-time market with uncertainty generated by Brownian motions. The economy has a finite number of heterogeneous exponential utility investors, who receive partially unspanned income and can trade continuously. Countercyclical stochastic income volatility generates a countercyclical equilibrium market price of risk process and a procyclical equilibrium interest rate process. We show that when the investors’ unspanned income volatility is countercyclical, the resulting equilibrium displays both lower interest rates and higher risk premia compared with the equilibrium in an otherwise identical complete market.

JEL-codes: D53 G11 G12 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (28)

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Persistent link: https://EconPapers.repec.org/RePEc:oup:rasset:v:4:y:2014:i:2:p:247-285.

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