The paper develops an efficient Monte Carlo method to price discretely monitored Parisian options based on a control variate approach. The paper also modifies the Parisian option design by assuming the option is exercised when the barrier condition is met rather than at maturity. We obtain...

We show that if a lead-lag relation exists between the option and spot markets, the implied volatility in option prices can be biased depending on the level of the true volatility; that is, the higher the true volatility, the more upward biased the implied volatility will be. We then test the...

There is considerable interest in finding numerical methods to price Asian options. Tse and Mok (2009) have proposed a new very simple closed-form expression for the price of a fixed-strike Asian option. Unfortunately their formula is not correct. This note shows that it is incorrect and...