1. Barrier option pricing under the 2-hypergeometric stochastic volatility model.
- Author
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Sousa, Rúben, Cruzeiro, Ana Bela, and Guerra, Manuel
- Subjects
- *
PRICING , *FINANCE , *ASYMPTOTIC controllability , *APPROXIMATION theory , *STOCHASTIC learning models - Abstract
We investigate the pricing of financial options under the 2-hypergeometric stochastic volatility model. This is an analytically tractable model that reproduces the volatility smile and skew effects observed in empirical market data. Using a regular perturbation method from asymptotic analysis of partial differential equations, we derive an explicit and easily computable approximate formula for the pricing of barrier options under the 2-hypergeometric stochastic volatility model. The asymptotic convergence of the method is proved under appropriate regularity conditions, and a multi-stage method for improving the quality of the approximation is discussed. Numerical examples are also provided. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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