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Evaluating an Investment Project in an Incomplete Market

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  • George Yungchih Wang
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    Abstract

    Many studies on real options base their arguments upon the assumption that security market is complete to apply the risk-neutral valuation technique. However, when the market is incomplete, in which investment risk is not spanned by existing assets, the investor.s preferences are not risk-neutral, or management is refrained from certain trading strategies, there may exist no unique martingale price of uncertain income streams. In this paper, a dynamic-programming framework for maximizing expected utility of an investor in discrete time is presented to evaluate an investment opportunity in an incomplete market. It is suggested that certainty equivalent (CE) could be applied to value such an investment opportunity. We show that two approaches to certainty equivalent, i.e., the buying price and the selling price approaches, are exactly equal in exponential utility, implying that CE is a fair value for both the buyer and the seller in an incomplete market, subject to the degree of risk aversion. Therefore, the proposed approach, compared to other alternative approaches, is relatively intuitive and easy to apply. With the classic investment problem, it is shown that the option embedded in a project is crucial in decision-making.

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    Bibliographic Info

    Article provided by Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante in its journal The Review of Finance and Banking.

    Volume (Year): 04 (2012)
    Issue (Month): 1 (June)
    Pages: 055-073

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    Handle: RePEc:rfb:journl:v:04:y:2012:i:1:p:055-073

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    1. Silvers, J B, 1973. "An Alternative to the Yield Spread as a Measure of Risk," Journal of Finance, American Finance Association, vol. 28(4), pages 933-55, September.
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    7. Hugonnier, Julien & Morellec, Erwan, 2007. "Corporate control and real investment in incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1781-1800, May.
    8. Henderson, Vicky, 2005. "Explicit solutions to an optimal portfolio choice problem with stochastic income," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1237-1266, July.
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