We devise a method to circumvent the complexity that arises from the option multi-dimensionality. That is, we transform the model to make it as simple as the one-dimensional case. Furthermore, the assumption of comonotonicity and other assumptions regarding the structure of the underlying asset...

This is the first paper to provide a simple, explicit formula (that doesn’t requirenumerical/computational methods) under stochastic volatility. The formulais as simple as the classical Black-Scholes pricing formula. Furthermore,this paper modifies the Black-Scholes model to make it consistent...

We provide explicit, simple price formulas for the Europeanoptions under stochastic volatility and stochastic interest rate. The formulasare as simple as the classical Black-Scholes formula. Moreover, the formulasdo not require the normality of the returns. We do not need to know thedistribution...

We provide very simple formulas for pricing both the European and American options.The existing methods of option pricing adopt strong assumptions. Furthermore, they use advanced mathematics to produce controversial pricing methods. The use of mathematically advanced models does not necessarily...

We prove that the assertion of Genest (2020) is incorrect and irrelevant. First, there is no claim (in the paper he is referring to) regarding the dependence of the non-arbitrary constant. That paper did not make any claim that would justify the emergence of Genest (2020). Furthermore, these are...

We present a general theory of hedging, that overcomes the limitations of the expected utility theory and the conventional mean-variance approach. In so doing, we introduce a hedger's multi-motive objective function

We introduce a new theoretically-based method of estimating the impact of the exchange rate and GDP on the stock market. In doing so, we utilize the new stochastic-factor model (a recent development in mathematical finance). Our results indicate a strong negative relationship between the stock...