Bayraktar, Erhan and Xing, Hao (2010) Pricing Asian options for jump diffusion. Mathematical finance, 21 (1). pp. 117-143. ISSN 0960-1627
Abstract
We construct a sequence of functions that uniformly converge (on compact sets) to the price of an Asian option, which is written on a stock whose dynamics follow a jump diffusion. The convergence is exponentially fast. We show that each element in this sequence is the unique classical solution of a parabolic partial differential equation (not an integro-differential equation). As a result we obtain a fast numerical approximation scheme whose accuracy versus speed characteristics can be controlled. We analyze the performance of our numerical algorithm on several examples.
| Item Type: | Article |
|---|---|
| Official URL: | http://onlinelibrary.wiley.com/journal/10.1111/(IS... |
| Additional Information: | © 2010 Wiley-Blackwell |
| Library of Congress subject classification: | H Social Sciences > HA Statistics |
| Sets: | Departments > Statistics |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/31870/ |
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