Approximating equity volatility
The volatility estimation is a crucial problem for pricing derivatives. The traditional implied volatility approach induces the undesired smile effect and is therefore inconsistent with the market reality. A second more realistic approach is due to Bensoussan, Crouhy and Galai (1995) who derive an extension of the Black-Scholes model where the stochastic volatility ?is endogenous and depends on the change in the firm’s financial leverage. These authors give an analytic approximation for ?when the firm is financed by external funds such as debts, under the assumptions that the risk-free rate and the volatility of the return on the firm’s asset are constant. In this work, we will generalize this result by allowing these parameters to be variable.
|Date of creation:||2004|
|Date of revision:|
|Publication status:||Published by:|
|Contact details of provider:|| Postal: CP114/03, 42 avenue F.D. Roosevelt, 1050 Bruxelles|
Phone: +32 (0)2 650.48.64
Fax: +32 (0)2 650.41.88
Web page: http://difusion.ulb.ac.be
More information through EDIRC
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.:
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- Jens Carsten Jackwerth., 1996.
"Recovering Risk Aversion from Option Prices and Realized Returns,"
Research Program in Finance Working Papers
RPF-265, University of California at Berkeley.
- Jackwerth, Jens Carsten, 2000. "Recovering Risk Aversion from Option Prices and Realized Returns," Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-51.
- Jens Carsten Jackwerth, 1998. "Recovering Risk Aversion from Option Prices and Realized Returns," Finance 9803002, EconWPA.
- Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
- Jackwerth, Jens Carsten, 1996.
"Generalized Binomial Trees,"
11635, University Library of Munich, Germany, revised 12 May 1997.
- Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-67, May.
- 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.
- Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
- Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. " Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-32, December.
When requesting a correction, please mention this item's handle: RePEc:sol:wpaper:04-028. 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: (Benoit Pauwels)
If references are entirely missing, you can add them using this form.