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Evaluating an Investment Project in an Incomplete Market


  • George Yungchih Wang


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.

Suggested Citation

  • George Yungchih Wang, 2012. "Evaluating an Investment Project in an Incomplete Market," The Review of Finance and Banking, Academia de Studii Economice din Bucuresti, Romania / Facultatea de Finante, Asigurari, Banci si Burse de Valori / Catedra de Finante, vol. 4(1), pages 055-073, June.
  • Handle: RePEc:rfb:journl:v:04:y:2012:i:1:p:055-073

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    References listed on IDEAS

    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 933-955, September.
    2. 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.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters,in: Theory Of Valuation, chapter 8, pages 229-288 World Scientific Publishing Co. Pte. Ltd..
    4. Darrell Duffie & Chi-Fu Huang, 2005. "Implementing Arrow-Debreu Equilibria By Continuous Trading Of Few Long-Lived Securities," World Scientific Book Chapters,in: Theory Of Valuation, chapter 4, pages 97-127 World Scientific Publishing Co. Pte. Ltd..
    5. Carolina Fugazza & Massimo Guidolin & Giovanna Nicodano, 2009. "Time and Risk Diversification in Real Estate Investments: Assessing the Ex Post Economic Value," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 37(3), pages 341-381.
    6. Hagströmer, Björn & Anderson, Richard G. & Binner, Jane & Elger, Thomas & Nilsson, Birger, 2007. "Mean-Variance vs. Full-Scale Optimization: Broad Evidence for the UK," Working Papers 2008:1, Lund University, Department of Economics.
    7. James E. Smith, 1998. "Evaluating Income Streams: A Decision Analysis Approach," Management Science, INFORMS, vol. 44(12-Part-1), pages 1690-1708, December.
    8. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March.
    9. T. Clifton Green & Stephen Figlewski, 1999. "Market Risk and Model Risk for a Financial Institution Writing Options," Journal of Finance, American Finance Association, vol. 54(4), pages 1465-1499, August.
    10. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
    11. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    12. 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.
    13. Michael J. Brennan & Eduardo S. Schwartz, 1982. "Consistent Regulatory Policy under Uncertainty," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 506-521, Autumn.
    14. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    15. Serra, Teresa & Goodwin, Barry K. & Featherstone, Allen M., 2011. "Risk behavior in the presence of government programs," Journal of Econometrics, Elsevier, vol. 162(1), pages 18-24, May.
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