Barrier Option Pricing under the 2-Hypergeometric Stochastic Volatility   Model
  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. 
R\'uben Sousa, Ana Bela Cruzeiro, Manuel Guerra
math.PR q-fin.MF q-fin.PR