IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Optimal exercise of executive stock options and implications for firm cost

  • Carpenter, Jennifer N.
  • Stanton, Richard
  • Wallace, Nancy

This paper conducts a comprehensive study of the optimal exercise policy for an executive stock option and its implications for option cost, average life, and alternative valuation concepts. The paper is the first to provide analytical results for an executive with general concave utility. Wealthier or less risk-averse executives exercise later and create greater option cost. However, option cost can decline with volatility. We show when there exists a single exercise boundary, yet demonstrate the possibility of a split continuation region. We also show that, for constant relative risk averse utility, the option value does not converge to the Black and Scholes value as the correlation between the stock and the market portfolio converges to one. We compare our model's option cost with the modified Black and Scholes approximation typically used in practice and show that the approximation error can be large or small, positive or negative, depending on firm characteristics.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/B6VBX-50BB5K7-3/2/d83d9d549f339141607876a623eaeef6
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Journal of Financial Economics.

Volume (Year): 98 (2010)
Issue (Month): 2 (November)
Pages: 315-337

as
in new window

Handle: RePEc:eee:jfinec:v:98:y:2010:i:2:p:315-337
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505576

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Kato, Hideaki Kiyoshi & Lemmon, Michael & Luo, Mi & Schallheim, James, 2005. "An empirical examination of the costs and benefits of executive stock options: Evidence from Japan," Journal of Financial Economics, Elsevier, vol. 78(2), pages 435-461, November.
  2. Christian Langmann, 2007. "Stock Market Reaction and Stock Option Plans: Evidence from Germany," Schmalenbach Business Review (sbr), LMU Munich School of Management, vol. 59(1), pages 85-106, January.
  3. Junjian Miao & Neng Wang, 2005. "Investment, Consumption and Hedging under Incomplete Markets," Boston University - Department of Economics - Macroeconomics Working Papers Series WP2005-011, Boston University - Department of Economics, revised Sep 2006.
  4. Carola Frydman & Raven E. Saks, 2007. "Executive compensation: a new view from a long-term perspective, 1936-2005," Finance and Economics Discussion Series 2007-35, Board of Governors of the Federal Reserve System (U.S.).
  5. Geske, Robert, 1979. "A note on an analytical valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 7(4), pages 375-380, December.
  6. Brickley, James A. & Bhagat, Sanjai & Lease, Ronald C., 1985. "The impact of long-range managerial compensation plans on shareholder wealth," Journal of Accounting and Economics, Elsevier, vol. 7(1-3), pages 115-129, April.
  7. Kahl, Matthias & Liu, Jun & Longstaff, Francis A, 2001. "Paper Millionaires: How Valuable is Stock to a Stockholder Who is Restricted from Selling it?," University of California at Los Angeles, Anderson Graduate School of Management qt8b3853z9, Anderson Graduate School of Management, UCLA.
  8. L. Rogers & José Scheinkman, 2007. "Optimal exercise of executive stock options," Finance and Stochastics, Springer, vol. 11(3), pages 357-372, July.
  9. Huddart, Steven & Lang, Mark, 1996. "Employee stock option exercises an empirical analysis," Journal of Accounting and Economics, Elsevier, vol. 21(1), pages 5-43, February.
  10. Vicky Henderson, 2005. "The impact of the market portfolio on the valuation, incentives and optimality of executive stock options," Quantitative Finance, Taylor & Francis Journals, vol. 5(1), pages 35-47.
  11. Bettis, J. Carr & Bizjak, John M. & Lemmon, Michael L., 2001. "Managerial Ownership, Incentive Contracting, and the Use of Zero-Cost Collars and Equity Swaps by Corporate Insiders," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 36(03), pages 345-370, September.
  12. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  13. Whaley, Robert E., 1981. "On the valuation of American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 9(2), pages 207-211, June.
  14. Nittai K. Bergman & Dirk Jenter, 2005. "Employee Sentiment and Stock Option Compensation," NBER Working Papers 11409, National Bureau of Economic Research, Inc.
  15. Jenter, Dirk, 2004. "Executive Compensation, Incentives, and Risk," Working papers 4466-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
  16. Stephen A. Ross, 2004. "Compensation, Incentives, and the Duality of Risk Aversion and Riskiness," Journal of Finance, American Finance Association, vol. 59(1), pages 207-225, 02.
  17. 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.
  18. Hull, John & White, Alan, 1990. "Valuing Derivative Securities Using the Explicit Finite Difference Method," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(01), pages 87-100, March.
  19. Brennan, Michael J. & Schwartz, Eduardo S. & Lagnado, Ronald, 1997. "Strategic asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1377-1403, June.
  20. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(03), pages 461-474, September.
  21. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  22. Peter Carr & Robert Jarrow & Ravi Myneni, 1992. "Alternative Characterizations Of American Put Options," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 87-106.
  23. Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
  24. Roll, Richard, 1977. "An analytic valuation formula for unprotected American call options on stocks with known dividends," Journal of Financial Economics, Elsevier, vol. 5(2), pages 251-258, November.
  25. Tim Leung & Ronnie Sircar, 2009. "Accounting For Risk Aversion, Vesting, Job Termination Risk And Multiple Exercises In Valuation Of Employee Stock Options," Mathematical Finance, Wiley Blackwell, vol. 19(1), pages 99-128.
  26. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
  27. 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.
  28. Huddart, Steven, 1994. "Employee stock options," Journal of Accounting and Economics, Elsevier, vol. 18(2), pages 207-231, September.
  29. Detemple, Jerome & Sundaresan, Suresh, 1999. "Nontraded Asset Valuation with Portfolio Constraints: A Binomial Approach," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 835-72.
  30. Grasselli, Matheus & Henderson, Vicky, 2009. "Risk aversion and block exercise of executive stock options," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 109-127, January.
  31. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:jfinec:v:98:y:2010:i:2:p:315-337. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.