A Portfolio Decomposition Formula

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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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Probability, Optimization and Control, Portfolio Management

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http://salesiana.dossiersoluciones.com/handle/123456789/208944

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702726
 http://arxiv.org/abs/math/0702726

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arXiv