The Russian Option is a two-party contract which creates a liability for the option seller to pay the option buyer an amount equal to the maximum price attained by a security over a specific time period, discounted for the option’s age. The Russian option was proposed by Shepp and Shiryaev [1]. Kramkov and Shiryaev [2] first examined the option in the binomial model. We improve upon their resul...

proportional transaction costs using the utility-maximization framework of Davis (1997). This approach allows option prices to be computed by solving the investor’s basic portfolio selection problem without insertion of the option payoff into the terminal value function. The properties of the value function can then be used to drastically reduce the number of operations needed to locate the bou...

Black and Scholes (1973) proved that under certain assumptions about the market place, the value of a European option, as a function of the current value of the underlying asset and time, verifies a Cauchy problem. We give new conditions for the existence and uniqueness of the value of a European option by using semigroup theory. For this, we choose a suitable space that verifies some condition...

This paper contributes to the existing literature on dating currency crisis in three ways. First, we combine the Monte Carlo simulation with a modified Hill’s estimator method to obtain more robust results and efficiently deal with bias variance tradeoff in identifying extreme values. Second, we propose a systematic way to choose the reference country in building the Exchange Market Pressure in...

In their article “An Arbitrage-Free Approach to Quasi-Option Value” [J. Environm. Econom. Management 35, 103-125, 1998], Coggins and Ramezani interpreted the concept of quasi-option value introduced by Arrow and Fisher [Quart. J. Econom. 88, 1974, 312-319] as being identical to Dixit and Pindyck’s real option value. This means their approach differs from the approach by Fisher and Hanemann [J. ...