Efficient pricing of discrete Asian options

作者: William W.Y. Hsu , Yuh-Dauh Lyuu

DOI: 10.1016/J.AMC.2011.01.015

关键词:

摘要: Asian options are popular path-dependent financial derivatives. This paper uses lattices to price fixed-strike European-style that discretely monitored. The algorithm proposed can also be applied floating-strike as well because and related through an equation. monitored version is usually found in practice instead of the continuously encountered literature. presents first provably quadratic-time convergent lattice for pricing options. It most efficient with convergence guarantees. relies on Lagrange multipliers choose number states each node lattice. Extensive numerical experiments comparisons many existing methods confirm performance claims competitiveness our algorithm. result places same complexity class vanilla

参考文章(41)
R Zvan, P Forsyth, K Vetzal, Discrete Asian barrier options The Journal of Computational Finance. ,vol. 3, pp. 41- 67 ,(1999) , 10.21314/JCF.1999.036
Nengjiu Ju, Pricing Asian and basket options via Taylor expansion The Journal of Computational Finance. ,vol. 5, pp. 79- 103 ,(2002) , 10.21314/JCF.2002.088
Phelim Boyle, Mark Broadie, Paul Glasserman, Monte Carlo methods for security pricing Journal of Economic Dynamics and Control. ,vol. 21, pp. 1267- 1321 ,(1997) , 10.1016/S0165-1889(97)00028-6
Yuh-Dauh Lyuu *, Chi-Ning Wu, On accurate and provably efficient GARCH option pricing algorithms Quantitative Finance. ,vol. 5, pp. 181- 198 ,(2005) , 10.1080/14697680500040157
Moshe Arye Milevsky, Steven E. Posner, Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution The Journal of Financial and Quantitative Analysis. ,vol. 33, pp. 409- 422 ,(1998) , 10.2307/2331102
Jonathan E. Ingersoll, Theory of Financial Decision Making ,(1987)
Ton Vorst, Prices and hedge ratios of average exchange rate options International Review of Financial Analysis. ,vol. 1, pp. 179- 193 ,(1992) , 10.1016/1057-5219(92)90003-M
Laurent Bouaziz, Eric Briys, Michel Crouhy, The pricing of forward-starting asian options Journal of Banking and Finance. ,vol. 18, pp. 823- 839 ,(1994) , 10.1016/0378-4266(94)00031-X