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A theory of bond portfolios

Ivar Ekeland·Erik Taflin
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Abstract

We introduce a bond portfolio management theory based on foundations similar to those of stock portfolio management. A general continuous-time zero-coupon market is considered. The problem of optimal portfolios of zero-coupon bonds is solved for general utility functions, under a condition of no-arbitrage in the zero-coupon market. A mutual fund theorem is proved, in the case of deterministic volatilities. Explicit expressions are given for the optimal solutions for several utility functions.

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Ivar Ekeland, Erik Taflin. 2005-05-20. A theory of bond portfolios. https://doi.org/10.1214/105051605000000160

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