A finite element approach to the numerical solutions of Leland’s model
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DOI: 10.1016/j.iref.2023.07.076
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References listed on IDEAS
- Leland, Hayne E, 1985.
"Option Pricing and Replication with Transactions Costs,"
Journal of Finance, American Finance Association, vol. 40(5), pages 1283-1301, December.
- Hayne E. Leland., 1984. "Option Pricing and Replication with Transactions Costs," Research Program in Finance Working Papers 144, University of California at Berkeley.
- Golbabai, A. & Ballestra, L.V. & Ahmadian, D., 2013. "Superconvergence of the finite element solutions of the Black–Scholes equation," Finance Research Letters, Elsevier, vol. 10(1), pages 17-26.
- 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.
- Bertram Düring & Michel Fournié & Ansgar Jüngel, 2003.
"High Order Compact Finite Difference Schemes for a Nonlinear Black-Scholes Equation,"
International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(07), pages 767-789.
- Düring, Bertram & Fournié, Michel & Jüngel, Ansgar, 2001. "High order compact finite difference schemes for a nonlinear Black-Scholes equation," CoFE Discussion Papers 01/07, University of Konstanz, Center of Finance and Econometrics (CoFE).
- Christara, Christina C. & Wu, Ruining, 2022. "Penalty and penalty-like methods for nonlinear HJB PDEs," Applied Mathematics and Computation, Elsevier, vol. 425(C).
- Leland, Hayne E., 2007. "Comments on "Hedging errors with Leland's option model in the presence of transactions costs"," Finance Research Letters, Elsevier, vol. 4(3), pages 200-202, September.
- Boyle, Phelim P & Vorst, Ton, 1992. "Option Replication in Discrete Time with Transaction Costs," Journal of Finance, American Finance Association, vol. 47(1), pages 271-293, March.
- Rüdiger Frey & Alexander Stremme, 1997. "Market Volatility and Feedback Effects from Dynamic Hedging," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 351-374, October.
- 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.
- Halil Mete Soner & Guy Barles, 1998. "Option pricing with transaction costs and a nonlinear Black-Scholes equation," Finance and Stochastics, Springer, vol. 2(4), pages 369-397.
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Keywords
Option pricing; Leland’s model; Finite element;All these keywords.
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