A Portfolio Decomposition Formula

Details A Portfolio Decomposition Formula A Portfolio Decomposition Formula

2007-02-24

arxiv.org/abs/math/0702726v1

Mathematics

Probability

Scientific paper

This paper derives a portfolio decomposition formula when the agent maximizes utility of her wealth at some finite planning horizon. The financial market is complete and consists of multiple risky assets (stocks) plus a risk free asset. The stocks are modelled as exponential Brownian motions with drift and volatility being Ito processes. The optimal portfolio has two components: a myopic component and a hedging one. We show that the myopic component is robust with respect to stopping times. We employ the Clark-Haussmann formula to derive portfolio s hedging component.

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