We present a new method of estimating the asset stochastic volatility and return. In doing so, we overcome some of the limitations of the existing random walk models, such as the GARCH/ARCH models.

We present a new model of forward dynamic utilities. In doing so, we provide unique (viscosity) solutions. In addition, we introduce Hausdorff-continuous viscosity solutions to the portfolio model.

We devise an estimation methodology which allows preferences estimation and comparative statics analysis without a reliance on Taylor’s approximations and the indirect utility function.

We introduce a new utility-based approach to pricing European and American options. In so doing, we overcome some of the limitations of the existing models.

In this paper, we provide general closed-form solutions to the incomplete-market random-coefficient dynamic optimization problem without the restrictive assumption of exponential or HARA utility function. Moreover, we explicitly express the optimal portfolio as a function of the optimal...

We present a new model of stopping times and American options. In so doing, we solve the free-boundary problem.

In this paper, we analyze the impacts of joint energy and output prices uncertainties on the inputs demands in a mean-variance framework. We find that the concepts of elasticities and variance vulnerability play important roles in the comparative statics analysis. If the firms' preferences...

We introduce a simple, exact and closed-form formula for pricing the arithmetic Asian options. The pricing formula is as simple as the classical Black-Scholes formula. In doing so, we show that the distribution of the continuous average of log-normal variables is log-normal.

We overcome a long-standing obstacle in statistics. In doing so, we show that the distribution of the sum of log-normal variables is log-normal. Furthermore, we offer a breakthrough result in finance. In doing so, we introduce a simple, exact and explicit formula for pricing the arithmetic Asian...

We introduce a simple, explicit formula for pricing the arithmetic Asian options. The pricing formula is as simple as the classical Black-Scholes formula.