In this paper, we discuss the valuation of equity warrants in the geometric fractional Brownian environment based on the equilibrium condition. Using the conditional expectation we present a fractional pricing model for equity warrants and analyze the influence of the Hurst parameter. Then we...

This paper presents the total least squares quasi-Monte Carlo approach (TLSQM) for valuing American barrier options, which modifies the least-squares Monte Carlo method (LSM). The total least squares are applied to estimate the conditional expected payoff to the option holder from continuation,...

In this paper we search for optimal hedging strategy in stock index futures markets. We concentrate on the strategy that minimizes the portfolio risk, i.e., minimum variance hedge ratio (MVHR) estimated from a range of time series models with different assumptions of market volatility. They are...