URN |
etd-0712112-130828 |
Author |
Szu-Ying Chang |
Author's Email Address |
No Public. |
Statistics |
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Department |
Applied Mathematics |
Year |
2011 |
Semester |
2 |
Degree |
Master |
Type of Document |
|
Language |
English |
Title |
An Analytic Approach to Approximate Pricing of Forward-starting Asian Options |
Date of Defense |
2012-06-29 |
Page Count |
36 |
Keyword |
Asian Options
Options
Valuation
Strike Price
Forward-starting
|
Abstract |
An Asian option is a path-dependent option whose payoff depends on the average of the underlying asset price over a certain time interval. It can be European or American. The time interval can be the entire interval of the option's life from the initiation to the expiration, or beginning from some time later than the initiation until the option's expiration. The average can be arithmetic or geometric. This paper derives a closed-form solution for the valuation of European Geometric average fixed strike Asian call option and a closed-form solution for the valuation of a forward-starting Asian call option with arithmetic average floating strike. The valuation formula is obtained by relying upon a slight linear approximation. And the valuation formula of Asian call option with arithmetic average floating strike we have derived is different from that of L. Bouaziz, E. Briys and M. Crouhy (1994). We believe that our argument here is correct, and theirs is wrong. |
Advisory Committee |
Lai-Jiu Lin - chair
Jen-Chih Yao - co-chair
Ngai-Ching Wong - co-chair
Hong-Kun Xu - advisor
|
Files |
indicate access worldwide |
Date of Submission |
2012-07-12 |