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The Discount Rate for Investment Analysis Applying Expected Utility

Author

Listed:
  • Manel Baucells

    (Darden School of Business, University of Virginia. Charlottesville, Virginia 22906)

  • Samuel E. Bodily

    (Darden School of Business, University of Virginia. Charlottesville, Virginia 22906)

Abstract

In decision analysis, expected utility of discounted cash flows is the traditional approach to incorporate risk aversion into the evaluation of a project. The choice of discount rate as well as the convergence with the beta-adjusted approach from finance have always been in question. To address this gap, we adopt a risk-sharing setup in which investors have both treasuries and the stock market as alternatives to the project. For a full utility analysis of all the investor’s capital, we provide a unique discount rate that allows setting the horizon at the termination of the project. For a traditional analyst who conducts expected utility of discounted cash flows and ignores the capital not allocated to the project, we recommend an adjusted discount rate that compensates for double-counting the systematic risk.

Suggested Citation

  • Manel Baucells & Samuel E. Bodily, 2024. "The Discount Rate for Investment Analysis Applying Expected Utility," Decision Analysis, INFORMS, vol. 21(2), pages 125-141, June.
    • Handle: RePEc:inm:ordeca:v:21:y:2024:i:2:p:125-141
    DOI: 10.1287/deca.2022.0059
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    References listed on IDEAS

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    1. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March.
    2. Miquel Faig & Pauline Shum, 2002. "Portfolio Choice in the Presence of Personal Illiquid Projects," Journal of Finance, American Finance Association, vol. 57(1), pages 303-328, February.
    3. Bruce C. Greenwald & Joseph E. Stiglitz, 1993. "Financial Market Imperfections and Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 77-114.
    4. Vila, Jean-Luc & Zariphopoulou, Thaleia, 1997. "Optimal Consumption and Portfolio Choice with Borrowing Constraints," Journal of Economic Theory, Elsevier, vol. 77(2), pages 402-431, December.
    5. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    6. Michael R. Walls & James S. Dyer, 1996. "Risk Propensity and Firm Performance: A Study of the Petroleum Exploration Industry," Management Science, INFORMS, vol. 42(7), pages 1004-1021, July.
    7. J. Eric Bickel, 2006. "Some Determinants of Corporate Risk Aversion," Decision Analysis, INFORMS, vol. 3(4), pages 233-251, December.
    8. Ronald A. Howard, 1988. "Decision Analysis: Practice and Promise," Management Science, INFORMS, vol. 34(6), pages 679-695, June.
    9. Graham, John R. & Harvey, Campbell R., 2001. "The theory and practice of corporate finance: evidence from the field," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 187-243, May.
    10. Manel Baucells & Rakesh Sarin, 2007. "Evaluating Time Streams of Income: Discounting What?," Theory and Decision, Springer, vol. 63(2), pages 95-120, September.
    11. James E. Smith, 2004. "Risk Sharing, Fiduciary Duty, and Corporate Risk Attitudes," Decision Analysis, INFORMS, vol. 1(2), pages 114-127, June.
    12. David Johnstone & Dennis Lindley, 2013. "Mean-Variance and Expected Utility: The Borch Paradox," Papers 1306.2728, arXiv.org.
    13. Vicky Henderson, 2002. "Valuation Of Claims On Nontraded Assets Using Utility Maximization," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 351-373, October.
    14. Rubinstein, Mark, 1976. "The Strong Case for the Generalized Logarithmic Utility Model as the Premier Model of Financial Markets," Journal of Finance, American Finance Association, vol. 31(2), pages 551-571, May.
    15. Bell, David E, 1974. "Evaluating time streams of income," Omega, Elsevier, vol. 2(5), pages 691-699, October.
    16. Henderson, Vicky & Hobson, David, 2007. "Horizon-unbiased utility functions," Stochastic Processes and their Applications, Elsevier, vol. 117(11), pages 1621-1641, November.
    17. Ali E. Abbas, 2007. "Invariant Utility Functions and Certain Equivalent Transformations," Decision Analysis, INFORMS, vol. 4(1), pages 17-31, March.
    18. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    19. Gordon Hazen, 2009. "An Extension of the Internal Rate of Return to Stochastic Cash Flows," Management Science, INFORMS, vol. 55(6), pages 1030-1034, June.
    20. James E. Smith & Robert F. Nau, 1995. "Valuing Risky Projects: Option Pricing Theory and Decision Analysis," Management Science, INFORMS, vol. 41(5), pages 795-816, May.
    21. Grossman, Sanford J. & Vila, Jean-Luc, 1992. "Optimal Dynamic Trading with Leverage Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(2), pages 151-168, June.
    22. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-161.
    Full references (including those not matched with items on IDEAS)

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