MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  A new PDE approach for pricing arithmetic average Asian options

Download:
Download as a PDF | Download as a PS
unknown authors
http://www.contrib.andrew.cmu.edu/~vecer/asian.ps
Add To MetaCart

Abstract:

Abstract. In this paper, arithmetic average Asian options are studied. It is observed that the Asian option is a special case of the option on a traded account. The price of the Asian option is characterized by a simple one-dimensional partial dierential equation which could be applied to both continuous and discrete average Asian option. The article also provides numerical implementation of the pricing equation. The implementation is fast and accurate even for low volatility and/or short maturity cases.

Citations

289 Brownian motion and stochastic calculus – Karatzas, Shreve - 1988
44 Asymptotically Optimal Importance Sampling and Stratification for Path-dependent Options – Glasserman, Heidelberger, et al. - 1999
41 A pricing method for options based on average asset values – Kemna, Vorst - 1990
40 Estimating Security Price Derivatives Using Simulation – Broadie, Glasserman - 1996
39 The Value of an Asian Option – Rogers, Shi - 1995
31 Robust numerical methods for PDE models of Asian options – Zvan, Forsyth, et al. - 1998
26 Bessel processes, Asian options and perpetuities – GEMAN, YOR - 1993
24 Theory of Financial Decision Making – Ingersoll - 1987
20 Pricing European Average Rate Currency Options – Levy - 1992
15 Connecting discrete and continuous path-dependent options – BROADIE, GLASSERMAN, et al. - 1999
14 Passport to success – HYER, LIPTON-LIFSCHITZ, et al. - 1997
13 The pricing of discretely sampled Asian and lookback options: a change of numeraire approach – Andreasen - 1998
11 Pricing Continuous Asian Options: a Comparison of Monte Carlo and Laplace Transform Inversion Methods – Fu, Dilip, et al. - 1998
6 Similarities via self-similarities – Lipton - 1999
6 Prices and Hedge Ratios of Average Exchange Rate Options – Vorst - 1992
3 Options on a traded account: Vacation calls, vacation puts and passport options", Finance and Stochastics – Shreve, r, et al. - 2000
2 The passport option", The – Andersen, Andreasen, et al. - 1998
1 Average Inteligence – Levy, Turnbull - 1992
1 A quick algorith for pricing European average options – Turnbull, Wakeman - 1991
1 Upgrading your passport – r, Shreve, et al. - 2000