Fractional delta hedging strategy for pricing currency options with transaction costs
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- Wang, Xiao-Tian & Zhu, En-Hui & Tang, Ming-Ming & Yan, Hai-Gang, 2010. "Scaling and long-range dependence in option pricing II: Pricing European option with transaction costs under the mixed Brownian–fractional Brownian model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 445-451.
- Salopek, D. M., 1998. "Tolerance to arbitrage," Stochastic Processes and their Applications, Elsevier, vol. 76(2), pages 217-230, August.
- Rosenberg, Joshua V., 1998.
"Pricing multivariate contingent claims using estimated risk-neutral density functions,"
Journal of International Money and Finance, Elsevier, vol. 17(2), pages 229-247, April.
- Joshua Rosenberg, 1996. "Pricing Multivariate Contingent Claims Using Estimated Risk-neutral Density Functions," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-36, New York University, Leonard N. Stern School of Business-.
- Joshua Rosenberg, 1997. "Pricing Multivariate Contingent Claims using Estimated Risk-neutral Density Functions," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-057, New York University, Leonard N. Stern School of Business-.
- Higham,Desmond J., 2004. "An Introduction to Financial Option Valuation," Cambridge Books, Cambridge University Press, number 9780521547574, January.
- Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
- Wang, Xiao-Tian, 2010. "Scaling and long-range dependence in option pricing I: Pricing European option with transaction costs under the fractional Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 438-444.
- Mariani, M.C. & Florescu, I. & Beccar Varela, M.P. & Ncheuguim, E., 2009. "Long correlations and Levy models applied to the study of memory effects in high frequency (tick) data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1659-1664.
- Jonathan Lewellen, 2002. "Momentum and Autocorrelation in Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 533-564, March.
- Wei, J.Z. & Duan, J.C., 1999. "Pricing Foreign Currency and Cross-Currency Options Under GARCH," Rotman School of Management - Finance 99-01, Rotman School of Management, University of Toronto.
- 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.
- Bwo-Nung Huang & Chin Yang, 1995. "The fractal structure in multinational stock returns," Applied Economics Letters, Taylor & Francis Journals, vol. 2(3), pages 67-71.
- Ozdemir, Zeynel Abidin, 2009. "Linkages between international stock markets: A multivariate long-memory approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2461-2468.
- Ekvall, Niklas & Peter Jennergren, L. & Naslund, Bertil, 1997. "Currency option pricing with mean reversion and uncovered interest parity: A revision of the Garman-Kohlhagen model," European Journal of Operational Research, Elsevier, vol. 100(1), pages 41-59, July.
- Wang, Xiao-Tian & Yan, Hai-Gang & Tang, Ming-Ming & Zhu, En-Hui, 2010. "Scaling and long-range dependence in option pricing III: A fractional version of the Merton model with transaction costs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 452-458.
- Jaksa Cvitanic & Fernando Zapatero, 2004. "Introduction to the Economics and Mathematics of Financial Markets," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262532654, April.
- 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.
- Cajueiro, Daniel O. & Tabak, Benjamin M., 2005. "Testing for time-varying long-range dependence in volatility for emerging markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 577-588.
- Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December.
- Bollen, Nicolas P. B & Rasiel, Emma, 2003. "The performance of alternative valuation models in the OTC currency options market," Journal of International Money and Finance, Elsevier, vol. 22(1), pages 33-64, February.
- L. C. G. Rogers, 1997. "Arbitrage with Fractional Brownian Motion," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 95-105, January.
- Ghulam Sarwar & Timothy Krehbiel, 2000. "Empirical performance of alternative pricing models of currency options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 20(3), pages 265-291, March.
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