The study investigates the stock price movement of quoted Nigerian oil and gas firms using the Markovian model. Specifically, the study estimates the change in likelihoods and steady-state distribution of the share prices of the firms to determine the average time spent by the share price to...

This study investigates whether socially responsible investing (SRI) portfolio performs better than the market indexes using the utility-based nonparametric approach. The results from realized return distribution show that SRI portfolio outperforms the market indexes in term of almost stochastic...

In June 2020, Robert Fernholz spoke with members of the Journal of Investment Consulting’s editorial advisory board about stochastic portfolio theory, its contributions to the investment industry’s knowledge of equity markets, and its applicability to creating and monitoring investment...

In this paper, we establish two preservation results of additive convexity for a class of optimal transformation problems and a class of optimal disposal problems. For both classes of problems, there are multiple resources and our results show that if these resources have different priorities to...

An exact closed-form pricing formula was derived for American options when stock returns follow a normal distribution or Lévy processes. It uses a new non-homogeneous partial differential equation for American options, the condition from optimal early exercise general solution, and hence a...

In this paper, we develop a robust numerical method in pricing options, when the underlying asset follows a jump diffusion model. We demonstrate that, with the quadratic spline collocation method, the integral approximation in the pricing PIDE is intuitively simple, and comes down to the...

Share prices fluctuate far more than dividends. In contemporary lit- erature, this excess volatility is usually discussed involving the Camp- bell-Shiller present value identity. In our view, it is more appropriate to model future dividends and prices explicitly as random variables. We refer to...

We introduce a new and complete ordering of prospects that is consistent with stochastic dominance (SD). Featuring loss aversion and skewness preference, it mitigates the low discriminatory power of SD and circumvents implementation difficulties associated with third order SD. To highlight its...

This paper examines the stochastic properties of aggregate macroeconomic time series from the standpoint of fractionally integrated models, and focuses on the persistence of economic shocks. We develop a simple macroeconomic model that exhibits long-term dependence, a consequence of aggregation...