This note explores the mathematical theory to solve modern gambler’s ruin problems. We establish a ruin framework and solve for the probability of bankruptcy. We also show how this relates to the expected time to bankruptcy and review the risk neutral probabilities associated an adjustment to...

In a world characterized by the occurrence of uncontrollable and extreme events investors are often required to make decisions on the basis of the available information. The challenge they face is how to manipulate these information sets in order to get what can lead them to the optimal...

The book is divided into five parts. The essence of behavioural finance is presented in the first parts. Fuzzy generalizations of some mathematical concepts are presented in the second part. The impact of selected behavioural premises for imprecise estimation of expected return is described in...

Empirical evidence suggests that asset returns correlate more strongly in bear markets than conventional correlation estimates imply. We propose a method for determining complete tail-correlation matrices based on Value-at-Risk (VaR) estimates. We demonstrate how to obtain more efficient...

Since the enactment of Pension Protection Act of 2006, lifecycle funds that reduce exposure to stocks with age have rapidly replaced money market funds as the most commonly nominated default investment options for participant-directed retirement plans. We examine their appropriateness in meeting...

We prove a formula for the computation of optimal financial investments in an expected utility framework with arbitrary (not necessarily concave) utility functions. This extends classical results on optimal financial investments for strictly concave utility functions and is of importance...

This paper deals with the use of the CAPM for capital budgeting purposes. Four different measures are deductively drawn from this model: the disequilibrium Net Present Value, the equilibrium Net Present Value, the disequilibrium Net Future Value, the equilibrium Net Future Value. While all of...

The basic paradigm of asset pricing is in vibrant flux. The purely rational approach is being subsumed by a broader approach based upon the psychology of investors. In this approach, security expected returns are determined by both risk and misvaluation. This survey sketches a framework for...

The phenomenal growth of derivative markets across the globe indicates their impact on the global financial scene. As the securities markets continue to evolve, market participants, investors and regulators are looking at different way in which the risk management and hedging needs of investors...

Mutual Funds are the most common form of investment for the average household. They offer a fair amount of return for a limited amount of risk. Segregated Funds, which are, simply put, mutual funds with additional features, have grown in popularity as of late. It is something of great interest...