I document a sizeable bias that might arise when valuing out of the money American options via the Least Square Method proposed by Longstaff and Schwartz (2001). The key point of this algorithm is the regression-based estimate of the continuation value of an American option. If this regression...

Closed-form pricing formulae and option Greeks are obtained for European-type options using an orthogonal polynomial series -- complex Fourier series. We assume that risky assets are driven by exponential Lévy processes and stochastic volatility models. We provide a succinct error analysis to...

We analyze the implied volatility smile of a lognormal distribution on a 3 – month Lundbeck call option contract using the Brownian motion. There is significant time variation in the implied volatility smile and the traditional Black – Scholes model can not explain this deviation. The Black...