The study examines estimation of parameters of diffusion market models from historical data. The standard definition of implied volatility for these models presents its value as an implicit function of several parameters, including the risk-free interest rate. In reality, the risk free interest...

We study a modification of an American option such that the option holder can exercise the option early before the expiration, and he or she can revert later this decision to exercise a number of times. This feature gives additional flexibility and risk protection for the option holder. We found...

We study stock option and bond pricing problems for a case when the short-term interest rate and the volatility of the stock are random processes. The option prices are generated by a risk-neutral valuation method and they are correlated with the short-term interest rate generating the bond...