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Probability and Computational Finance Seminar
Traian Pirvu McMaster University Title: Backward Stochastic Equations and Equilibrium Pricing Abstract: We propose an equilibrium framework within which to price financial securities written on non-tradable underlyings such as temperature indices. We analyze a financial market with a finite set of agents whose preferences are described by a convex dynamic risk measure generated by the solution of a backward stochastic differential equation. The agents are exposed to financial and non-financial risk factors. They can hedge their financial risk in the stock market and trade a security whose payoff depends on both financial and external risk factors. We prove an existence and uniqueness of equilibrium result for security price and characterize the equilibrium market price of risk in terms of a solution to a non-linear BSDE. Date: Monday, August 23, 2010 Time: 5:00 pm Location: Wean Hall 8220 Submitted by: Kasper Larsen |