Does stock return predictability affect ESO fair value?
AbstractExecutive Stock Options (ESOs) are modified American options that cannot be valued using standard methods. With a few exceptions, the literature has discussed the ESO fair value by assuming unpredictable stock returns which are not supported by the available empirical evidence. In this paper we obtain the fair value of American ESOs when stock returns are predictable and, specifically, driven by the trending Ornstein–Uhlenbeck process of Lo and Wang (1995). We solve the executive’s portfolio allocation problem for a simple buy-and-hold strategy when his wealth can be distributed between a risk-free asset and a market portfolio. This problem is jointly solved with the executive’s optimal exercise policy. We find that executives tend to wait longer the higher the predictability, independently of the composition of executive’s asset menu. We have also analyzed the implications under the FAS123R proposals for the ESO fair value and found that, even for low autocorrelations, there is a meaningful mispricing when unpredictable returns are erroneously assumed.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 223 (2012)
Issue (Month): 1 ()
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Web page: http://www.elsevier.com/locate/eor
G11; G13; G17; G35; M52; Executive stock options; Risk aversion; Undiversification; Predictability; FAS123R;
Other versions of this item:
- Carmona, Julio & León, Angel & Vaello-Sebastiá, Antoni, 2011. "Does Stock Return Predictability Affect ESO Fair Value?," QM&ET Working Papers 11-2, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica, revised 16 Jan 2012.
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation
- G35 - Financial Economics - - Corporate Finance and Governance - - - Payout Policy
- M52 - Business Administration and Business Economics; Marketing; Accounting - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects
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- Jennergren, L. Peter & Naslund, Bertil, 1996. "A class of options with stochastic lives and an extension of the Black-Scholes formula," European Journal of Operational Research, Elsevier, vol. 91(2), pages 229-234, June.
- Jonathan E. Ingersoll, Jr., 2006. "The Subjective and Objective Evaluation of Incentive Stock Options," The Journal of Business, University of Chicago Press, vol. 79(2), pages 453-488, March.
- Hall, Brian J. & Murphy, Kevin J., 2002.
"Stock options for undiversified executives,"
Journal of Accounting and Economics,
Elsevier, vol. 33(1), pages 3-42, February.
- Lo, Andrew W & Wang, Jiang, 1995.
" Implementing Option Pricing Models When Asset Returns Are Predictable,"
Journal of Finance,
American Finance Association, vol. 50(1), pages 87-129, March.
- Andrew W. Lo & Jiang Wang, 1994. "Implementing Option Pricing Models When Asset Returns Are Predictable," NBER Working Papers 4720, National Bureau of Economic Research, Inc.
- Lo, Andrew W. (Andrew Wen-Chuan) & Wang, Jiang, 1959-, 1993. "Implementing option pricing models when asset returns are predictable," Working papers 3593-93., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212 Elsevier.
- John Y. Campbell & Motohiro Yogo, 2003.
"Efficient Tests of Stock Return Predictability,"
NBER Working Papers
10026, National Bureau of Economic Research, Inc.
- Campbell, John & Yogo, Motohiro, 2006. "Efficient tests of stock return predictability," Scholarly Articles 3122601, Harvard University Department of Economics.
- John Y. Campbell & Motohiro Yogo, 2002. "Efficient Tests of Stock Return Predictability," Harvard Institute of Economic Research Working Papers 1972, Harvard - Institute of Economic Research.
- Jennifer Carpenter, 1997.
"The Exercise and Valuation of Executive Stock Options,"
New York University, Leonard N. Stern School Finance Department Working Paper Seires
97-10, New York University, Leonard N. Stern School of Business-.
- Carpenter, Jennifer N., 1998. "The exercise and valuation of executive stock options," Journal of Financial Economics, Elsevier, vol. 48(2), pages 127-158, May.
- Jin-Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32.
- Poterba, James M. & Summers, Lawrence H., 1988.
"Mean reversion in stock prices : Evidence and Implications,"
Journal of Financial Economics,
Elsevier, vol. 22(1), pages 27-59, October.
- James M. Poterba & Lawrence H. Summers, 1989. "Mean Reversion in Stock Prices: Evidence and Implications," NBER Working Papers 2343, National Bureau of Economic Research, Inc.
- Hafner, Christian M. & Herwartz, Helmut, 2001.
"Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis,"
Journal of Empirical Finance,
Elsevier, vol. 8(1), pages 1-34, March.
- Hafner, Christian M. & Herwartz, Helmut, 1999. "Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis," SFB 373 Discussion Papers 1999,58, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Philip Brown & Alex Szimayer, 2008. "Valuing executive stock options: performance hurdles, early exercise and stochastic volatility," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 48(3), pages 363-389.
- Bruce D. Grundy, . "Option Prices and the Underlying Asset's Return Distribution (Reprint 012)," Rodney L. White Center for Financial Research Working Papers 11-91, Wharton School Rodney L. White Center for Financial Research.
- Jiang, George J. & Tian, Yisong S., 2010. "Forecasting Volatility Using Long Memory and Comovements: An Application to Option Valuation under SFAS 123R," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(02), pages 503-533, April.
- Bettis, J. Carr & Bizjak, John M. & Lemmon, Michael L., 2005. "Exercise behavior, valuation, and the incentive effects of employee stock options," Journal of Financial Economics, Elsevier, vol. 76(2), pages 445-470, May.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-47.
- Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
- León, Angel & Vaello-Sebastià, Antoni, 2010. "A simulation-based algorithm for American executive stock option valuation," Finance Research Letters, Elsevier, vol. 7(1), pages 14-23, March.
- Grundy, Bruce D, 1991. " Option Prices and the Underlying Asset's Return Distribution," Journal of Finance, American Finance Association, vol. 46(3), pages 1045-69, July.
- Manuel Moreno & Javier R. Navas, 2001.
"On the robustness of least-squares Monte Carlo (LSM) for pricing American derivatives,"
Economics Working Papers
543, Department of Economics and Business, Universitat Pompeu Fabra.
- Manuel Moreno & Javier Navas, 2003. "On the Robustness of Least-Squares Monte Carlo (LSM) for Pricing American Derivatives," Review of Derivatives Research, Springer, vol. 6(2), pages 107-128, May.
- Grundy, R.D., 1991. "Option Prices and the Underlying Asset's Return Distribution," Weiss Center Working Papers 11-91, Wharton School - Weiss Center for International Financial Research.
- Len, Angel & Vaello-Sebasti, Antoni, 2009. "American GARCH employee stock option valuation," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1129-1143, June.
- Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
- Kimura, Toshikazu, 2010. "Valuing executive stock options: A quadratic approximation," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1368-1379, December.
- Paschke, Raphael & Prokopczuk, Marcel, 2010. "Commodity derivatives valuation with autoregressive and moving average components in the price dynamics," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2742-2752, November.
- Lars Stentoft, 2004. "Assessing the Least Squares Monte-Carlo Approach to American Option Valuation," Review of Derivatives Research, Springer, vol. 7(2), pages 129-168, 08.
- Tian, Yisong S., 2004. "Too much of a good incentive? The case of executive stock options," Journal of Banking & Finance, Elsevier, vol. 28(6), pages 1225-1245, June.
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