In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the contract's maturity the contract is perfectly hedged. We...

Subordination is an often used stochastic process in modeling asset prices. Subordinated Levy price processes and local volatility price processes are now the main tools in modern dynamic asset pricing theory. In this paper, we introduce the theory of multiple internally embedded financial...

We present a new model of normal tempered stable (NTS) processes with stochastic correlation for multi-asset option pricing. The model is constructed by extending the constant correlation term in the NTS model to the stochastic correlation making use of the Ornstein-Uhlenbeck process. As the...