Nonlinearity, correlation and the valuation of employee stock options
We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a correlated traded asset to hedge part of their risk. We determine the optimal exercise policy under this conditions and present numerical results showing how both effects can significantly change the value of the option for an employee, as well as its cost for the issuing firm.
References listed on IDEAS
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- 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.
- Brian J. Hall & Kevin J. Murphy, 2000. "Stock Options for Undiversified Executives," NBER Working Papers 8052, National Bureau of Economic Research, Inc.
- Jakša Cvitanić & Zvi Wiener & Fernando Zapatero, 2008. "Analytic Pricing of Employee Stock Options," Review of Financial Studies, Society for Financial Studies, vol. 21(2), pages 683-724, April.
- A. Oberman & T. Zariphopoulou, 2003. "Pricing early exercise contracts in incomplete markets," Computational Management Science, Springer, vol. 1(1), pages 75-107, December.
- Marek Musiela & Thaleia Zariphopoulou, 2004. "A valuation algorithm for indifference prices in incomplete markets," Finance and Stochastics, Springer, vol. 8(3), pages 399-414, 08.
- L. C. Rogers & Jose A. Scheinkman, 2003. "Optimal Exercise of American Claims When Markets Are Not Complete," Levine's Working Paper Archive 506439000000000114, David K. Levine.
- Carpenter, Jennifer N., 1998. "The exercise and valuation of executive stock options," Journal of Financial Economics, Elsevier, vol. 48(2), pages 127-158, May.
- 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-.
- Huddart, Steven, 1994. "Employee stock options," Journal of Accounting and Economics, Elsevier, vol. 18(2), pages 207-231, September. Full references (including those not matched with items on IDEAS)
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