Operator splitting methods for pricing American options under stochastic volatility
โ Scribed by Samuli Ikonen; Jari Toivanen
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 280 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
In this article, an analytical approach to American option pricing under stochastic volatility is provided. Under stochastic volatility, the American option value can be computed as the sum of a corresponding European option price and an early exercise premium. By considering the analytical property
The American early exercise constraint can be viewed as transforming the original linear two dimensional stochastic volatility option pricing PDE into a PDE with a nonlinear source term. Several methods are described for enforcing the early exercise constraint by using a penalty source term in the d
In this paper, the homotopy analysis method, whose original concept comes from algebraic topology, is applied to connect the Black-Scholes option price (the good initial guess) to the option price under general stochastic volatility environment in a recursive manner. We obtain the homotopy solutions