Financial/Actuarial Mathematics Seminar

Academic Year 2004-2005: Thursdays 3:10-4:00, 3088 East Hall



Optimal Portfolio Choice in the Bond Market

Mike Tehranchi

University of Texas, Department of Mathematics

January 20, 2005



Abstract

We consider the Merton problem of optimal portfolio choice when the traded instruments are the set of zero-coupon bonds. Working within an infinite-factor Markovian Heath-Jarrow-Morton model of the interest rate term structure, we give sufficient conditions for the existence and uniqueness of an optimal trading strategy. When there is uniqueness, we give a characterization of the optimal portfolio.


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