Certainty Equivalent, Risk Premium and Asset Pricing

Abstract

This paper attempts to determine the certainty equivalent of an uncertain future cash flow or value through the option pricing method, and builds models of certainty equivalent and certainty equivalent coefficient. Based on the model of certainty equivalent coefficient, this paper further derives models of risk premium and risk-adjusted discount rate. The latter is a new capital asset pricing model (CAPM) accounting for total risk rather than with only the systematic risk accounted for as in the current CAPM. The reliability in relevant financial analysis, valuation, decision making and risk management may be enhanced with these new models.