In this paper, we study an investment problem in which two asymmetric firms face competition and the regime characterizing economic conditions follows Markov switching. We derive the value functions and investment thresholds of a leader and a follower. One of the main results is that the equity...

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....