This study examines the effect of fractional volatility on option prices. To this end, we develop an approximation method for the pricing of European-style contingent claims when volatility follows a fractional Brownian motion. Through extensive numerical experiments, we confirm that the...

Previous studies have suggested that some pollutant levels first increase due to the economic growth and then start decreasing, the pattern being called the "environmental Kuznets curve" (EKC). We examine EKC-type transitions of pollutant levels not with respect to economic growth but more...

In the option pricing literature, it is well known that:(i) the decrease in the smile amplitude is much slower than standard stochastic volatility models and, (ii) the term structure of the at-the-money volatility skew is approximated by a power-law function with the exponent close to zero....

The ‘environmental Kuznets curve' (EKC) refers to an inverted-U-shaped relationship between some pollutant level and per capita income, i.e., the environmental quality deteriorates at early stages of economic growth and subsequently improves at a later stage. Since the early 1990s, a...

In this paper, we evaluate anytime Bermudan options, a class of path-dependent American options, by Monte Carlo simulation. Assuming that the state variable is Markovian, we show that the price of the path-dependent American option satisfies a dynamic programming equation. The continuation value...

This paper examines the effects of uncertainty through dynamic learning about the firm's project value in the real options framework. We extend the real options framework with incomplete information by allowing an unobserved state variable that drives profits to follow a stochastic process with...

Stochastic dominance (SD) is a very useful tool in various areas of economics and finance. the purpose of this paper is to provide the results of SD relations developed in other areas such as applied probability which, we believe, are useful for many portfolio selection problems. In particular,...

We consider the general <italic>n</italic>-factor Heath, Jarrow, and Morton model (1992) and provide a sufficient condition on the volatility structure for the spot rate process to be Markovian with 2<italic>n</italic> state variables. The price of a discount bond is also Markovian with the same state variables and, hence,...