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Probability and Computational Finance Seminar
Kasper Larsen
Carnegie Melllon University
Title: Incomplete Continuous-time Securities Markets with Stochastic Income Volatility

Abstract: In an incomplete continuous-time securities market with uncertainty generated by Brownian motions, we derive closed-form solutions for the equilibrium interest rate and market price of risk processes. The economy has a finite number of heterogeneous exponential utility investors, who receive partially unspanned income and can trade continuously on a finite time-interval in a money market account and a single risky security. Besides establishing the existence of an equilibrium, our main result shows that if the investors' unspanned income has stochastic countercyclical volatility, the resulting equilibrium can display both lower interest rates and higher risk premia compared to the Pareto efficient equilibrium in an otherwise identical complete market.

Joint work with Peter Ove Christensen.

Date: Monday, February 27, 2012
Time: 5:00 pm
Location: Wean Hall 5409
Submitted by:  Kasper Larsen