McKean's Methods Applied to American Call Options on Jump-Diffusion Processes
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- Andrew Ziogas & Carl Chiarella, 2003. "McKean’s Method applied to American Call Options on Jump-Diffusion Processes," Computing in Economics and Finance 2003 39, Society for Computational Economics.
References listed on IDEAS
- Amin, Kaushik I, 1993. "Jump Diffusion Option Valuation in Discrete Time," Journal of Finance, American Finance Association, vol. 48(5), pages 1833-1863, December.
- Robert C. Merton, 2005.
"Theory of rational option pricing,"
World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288,
World Scientific Publishing Co. Pte. Ltd..
- Robert C. Merton, 1973. "Theory of Rational Option Pricing," Bell Journal of Economics, The RAND Corporation, vol. 4(1), pages 141-183, Spring.
- Jarrow, Robert A & Rosenfeld, Eric R, 1984. "Jump Risks and the Intertemporal Capital Asset Pricing Model," The Journal of Business, University of Chicago Press, vol. 57(3), pages 337-351, July.
- Chiarella, Carl & Ziogas, Andrew, 2005.
"Evaluation of American strangles,"
Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 31-62, January.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Research Paper Series 83, Quantitative Finance Research Centre, University of Technology, Sydney.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Computing in Economics and Finance 2002 28, Society for Computational Economics.
- Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
- Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," The Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
- Geske, Robert & Johnson, Herb E, 1984. "The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-1524, December.
- Mulinacci, Sabrina, 1996. "An approximation of American option prices in a jump-diffusion model," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 1-17, March.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Chandrasekhar Reddy Gukhal, 2001. "Analytical Valuation of American Options on Jump‐Diffusion Processes," Mathematical Finance, Wiley Blackwell, vol. 11(1), pages 97-115, January.
- Kim, In Joon, 1990. "The Analytic Valuation of American Options," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 547-572.
- 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 637-654, May-June.
- Peter Carr & Robert Jarrow & Ravi Myneni, 2008.
"Alternative Characterizations Of American Put Options,"
World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103,
World Scientific Publishing Co. Pte. Ltd..
- Peter Carr & Robert Jarrow & Ravi Myneni, 1992. "Alternative Characterizations Of American Put Options," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 87-106, April.
- S. D. Jacka, 1991. "Optimal Stopping and the American Put," Mathematical Finance, Wiley Blackwell, vol. 1(2), pages 1-14, April.
- Ball, Clifford A & Torous, Walter N, 1985. "On Jumps in Common Stock Prices and Their Impact on Call Option Pricing," Journal of Finance, American Finance Association, vol. 40(1), pages 155-173, March.
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Cited by:
- Min Dai & Yue Kuen Kwok, 2006. "Characterization Of Optimal Stopping Regions Of American Asian And Lookback Options," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 63-82, January.
- Len Patrick Dominic M. Garces & Gerald H. L. Cheang, 2021. "A numerical approach to pricing exchange options under stochastic volatility and jump-diffusion dynamics," Quantitative Finance, Taylor & Francis Journals, vol. 21(12), pages 2025-2054, December.
- Chiarella, Carl & Ziogas, Andrew, 2005.
"Evaluation of American strangles,"
Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 31-62, January.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Research Paper Series 83, Quantitative Finance Research Centre, University of Technology, Sydney.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Computing in Economics and Finance 2002 28, Society for Computational Economics.
- Andrew Ziogas & Carl Chiarella, 2004.
"Pricing American Options on Jump-Diffusion Processes using Fourier-Hermite Series Expansions,"
Computing in Economics and Finance 2004
177, Society for Computational Economics.
- Carl Chiarella & Andrew Ziogas, 2005. "Pricing American Options on Jump-Diffusion Processes using Fourier Hermite Series Expansions," Research Paper Series 145, Quantitative Finance Research Centre, University of Technology, Sydney.
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More about this item
Keywords
american options; jump-diffusion; volterra integral equation; free-boundary problem;All these keywords.
JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
NEP fields
This paper has been announced in the following NEP Reports:- NEP-CMP-2004-06-02 (Computational Economics)
- NEP-FIN-2004-06-02 (Finance)
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