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Discount Rates for Seed Capital Investments

Author

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  • Samuel Mongrut Montalván

    (EGADE, ITESM, Campus Queretaro, Mexico)

Abstract

So far, the estimation of discount rates required by entrepreneurs has remained a mystery. Mongrut and Ramirez (2006) made a contribution to this area by deriving the lower bound discount rate for a non-diversified entrepreneur in an emerging market. However, they used a quadratic utility function, which does not have desirable assumptions. In this research one extends the previous work by deriving expressions of discount rates using a Hyperbolic Absolute Risk Aversion (HARA) utility function that includes the quadratic and the logarithmic forms as special cases. Furthermore, one also assumes the entrepreneur with the lowest risk-aversion that invests almost all his capital in his project or firm and whose level of wealth approaches to zero. One finds that both expressions depend upon entrepreneur's riskaversion and a measure of the project total risk. Maintaining constant the risk-free rate, we simulate the expressions of discount rate for the quadratic form and the logarithmic form. As expected, the entrepreneur’s required returns (discount rates) are highly sensitive in both specifications and all values were lower than 50% and most of them were lower than 25%, but higher than the assumed risk-free rate.

Suggested Citation

  • Samuel Mongrut Montalván, 2016. "Discount Rates for Seed Capital Investments," Working Papers 16-01, Centro de Investigación, Universidad del Pacífico.
  • Handle: RePEc:pai:wpaper:16-01
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    References listed on IDEAS

    as
    1. Danyang Xie, 2000. "Power Risk Aversion Utility Functions," Annals of Economics and Finance, Society for AEF, vol. 1(2), pages 265-282, November.
    2. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters,in: Theory Of Valuation, chapter 10, pages 309-356 World Scientific Publishing Co. Pte. Ltd..
    3. Atanu Saha, 1993. "Expo-Power Utility: A ‘Flexible’ Form for Absolute and Relative Risk Aversion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(4), pages 905-913.
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Luenberger, David G., 2002. "Arbitrage and universal pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 26(9-10), pages 1613-1628, August.
    6. Zurita, Felipe, 2005. "Un examen a la tasa de descuento," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(286), pages 257-281, abril-jun.
    7. Samuel Mongrut Montalván & Didac Ramírez Sarrió, 2005. "Discount Rates in Emerging Capital Markets," Finance 0501013, University Library of Munich, Germany.
    8. Harvey James, 1999. "Owner as Manager, Extended Horizons and the Family Firm," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 6(1), pages 41-55.
    9. Samuel Mongrut & Dídac Ramírez, 2006. "Discount Rates in Emerging Capital Markets," Working Papers 06-03, Centro de Investigación, Universidad del Pacífico.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Seed Capital; discount rates; entrepreneurship;

    JEL classification:

    • L26 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Entrepreneurship
    • M13 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - New Firms; Startups

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