Bond portfolio's duration and investment term-structure management problem

Bond portfolio's duration and investment term-structure management problem

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Article ID: iaor20084529
Country: United States
Volume: 2006
Issue: 76920
Start Page Number: 1
End Page Number: 19
Publication Date: Jan 2006
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: financial, lagrange multipliers
Abstract:

In the considered bond market, there are N zero-coupon bonds transacted continuously, which will mature at equally spaced dates. A duration of bond portfolios under stochastic interest rate model is introduced, which provides a measurement for the interest rate risk. Then we consider an optimal bond investment term-structure management problem using this duration as a performance index, and with the short-term interest rate process satisfying some stochastic differential equation. Under some technique conditions, an optimal bond portfolio process is obtained.

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