The pricing theory of Asian options.

UKZN ResearchSpace

Show simple item record

dc.contributor.advisor Xu, Hong-Kun. Mkhize, Ngenisile Grace Zanele 2010-08-20T09:59:36Z 2010-08-20T09:59:36Z 2007 2007
dc.description Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2007.
dc.description.abstract An Asian option is an example of exotic options. Its payoff depends on the average of the underlying asset prices. The average may be over the entire time period between initiation and expiration or may be over some period of time that begins later than the initiation of the option and ends with the options expiration. The average may be from continuous sampling or may be from discrete sampling. The primary reason to base an option payoff on an average asset price is to make it more difficult for anyone to significantly affect the payoff by manipulation of the underlying asset price. The price of Asian options is not known in closed form, in general, if the arithmetic average is taken into effect. In this dissertation, we shall investigate the pricing theory for Asian options. After a brief introduction to the Black-Scholes theory, we derive the partial differential equations for the value process of an Asian option to satisfy. We do this in several approaches, including the usual extension to Asian options of the Black-Scholes, and the sophisticated martingale approach. Both fixed and floating strike are considered. In the case of the geometric average, we derive a closed form solution for the Asian option. Moreover, we investigate the Asian option price theory under stochastic volatility which is a recent trend in the study of path-dependent option theory.
dc.language.iso en en_US
dc.subject Exotic options (Finance) en_US
dc.subject Option value. en_US
dc.subject Theses--Mathematics. en_US
dc.title The pricing theory of Asian options. en_US
dc.type Thesis

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search UKZN ResearchSpace

Advanced Search


My Account