We analyze the implied volatility smile of a lognormal distribution on a on a 6 – month EUR/USD call currency option contract using the ratio of strike and share price. There is significant time variation in the implied volatility smile and the traditional Black – Scholes model can not...

In this paper we generalize and analyze the model for pricing American-style Asian options due to Hansen and Jorgensen by including a continuous dividend rate q and a general method of averaging of the floating strike. We focus on the qualitative and quantitative analysis of the early exercise...

It is generally said that out-of-the-money call options are expensive and one can ask the question from which moneyness level this is the case. Expensive actually means that the price one pays for the option is more than the discounted average payoff one receives. If so, the option bears a...

We examine an American floating strike lookback put option, under the Black and Scholes model. This corresponds to a moving boundary problem for a PDE. We apply singular perturbation methods to compute the moving boundary, as well as the full solution to the PDE. We analyze the problem in the...