Description: A European call option pricing model similar to the Black-Scholes equation [1] is derived. Like the Black-Scholes equation, the model is based upon an assumption of a lognormal distribution of the price of a risky, non-dividend-paying security at a given point in the future. However, unlike Black-Scholes, the market's risk preference is recognized through a parameter that permits refinement of the model to agree either with experience or with future advances in the underlying theory.

Description: The bank’s customers viz. non-bank company often get into various kinds of derivative transactions with a bank or some other non-bank company in order to cover or hedge against the unwanted exposure to volatility in interest rates, currency rates or some other underlying rate. A non-bank company defaults when the situation goes unfavorable enough for it to have no other alternative this cascades the impact to many other non-bank companies and banks. I take forward the opinion that non-bank company defaults are more likely than those by a bank in a derivative contract. This risk in the risk management approach using derivatives can be reduced through the derivatives framework proposed in this paper. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.