The distributions of returns on risky assets have an important effect on their equilibrium prices, and their empirical distributions have non-normal characteristics such as skewness and excess kurtosis, so assumption of normal distribution is not reasonable in capital asset pricing model (CAPM). Generalized elliptical distribution can well describe the empirically distributional characteristics of risky asset returns. This article assumes that risky asset returns have generalized elliptical distributions, proves Capital Asset Pricing Model with generalized elliptical distributions using the assumption of securities market economy and equilibrium analysis. As the generalized elliptical distribution can better describe the distributions of risky asset returns than normal distribution, CAPM with generalized elliptical distribution can better describe the behaviors of risky asset prices.
