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The Value of Information for Optimal Portfolio Management

In: Mathematical and Statistical Methods for Actuarial Sciences and Finance

Author

Listed:
  • Katia Colaneri

    (School of Mathematics, University of Leeds)

  • Stefano Herzel

    (Department of Economics and Finance, University of Rome Tor Vergata)

  • Marco Nicolosi

    (Department of Economics, University of Perugia)

Abstract

We study the value of information for a manager who invests in a stock market to optimize the utility of her future wealth. We consider an incomplete financial market model with a mean reverting market price of risk that cannot be directly observed by the manager. The available information is represented by the filtration generated by the stock price process. We solve the classical Merton problem for an incomplete market under partial information by means of filtering techniques and the martingale approach.

Suggested Citation

  • Katia Colaneri & Stefano Herzel & Marco Nicolosi, 2018. "The Value of Information for Optimal Portfolio Management," Springer Books, in: Marco Corazza & María Durbán & Aurea Grané & Cira Perna & Marilena Sibillo (ed.), Mathematical and Statistical Methods for Actuarial Sciences and Finance, pages 225-229, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-89824-7_41
    DOI: 10.1007/978-3-319-89824-7_41
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