Business Mathematics Research Papers/Topics

Probability of Default Estimation for Commercial Lenders in Developing Economies: Creditworthiness of Consumer Borrower

Abstract/Overview The Business of advancing credits is gradually becoming a major target for many banks, as a result there is high competition among the financial institutions leading to default of most credits. In order to raise the quality of advancing credits and reducing the risk involved thereafter, CSM’s have been developed to improve the process of assessing credit worthiness during the credit evaluation process. Previous repayments, demographic characteristics and statistical te...

A Combination of Dividend and Jump Diffusion Process on Heston Model in Deriving Black Scholes Equation

Abstract/Overview The reality that exists in a stock market situation is that assets do pay dividend to owners of assets or derivative securities. Dupire, Derman and Kani built an option pricing process with a dividend yielding diffusion process but lacked the jump diffusion component. Jump diffusion process that mostly been captured in modern stock market do exhibit discontinuous behavior on pricing of assets. Introduction of Black Scholes concept equation that assumes volatility is cons...

Analyzing Expected Returns of a Stock Using the Markov Chain Model and the CAPM

The chances of success of an investor in the stock market depends heavily on the decisions he takes based on his knowledge of the behavior of the stock market. In this study, the behavior of a stock on the Nigerian stock exchange market was studied. The Markov Chain with a threshold to determine movement between states, was used to estimate expected long and short-run returns, and the result was compared to the expected return of the Capital Asset Pricing Model. It was observed that the m...