This paper tests the Kraus-Litzenberger (1976) three-moment capital asset pricing model using Hansen's (1982) generalized method-of-moments (GMM). The GMM approach does not impose strong distributional assumptions on the asset returns. This is an interesting issue since there is no obvious multivariate distribution for returns that also exhibits co-skewness. Using monthly stock returns to test the model, there is some evidence that systematic skewness is priced.

With a stochastic time change from calendar-time to information-time, we derive a parsimonious option pricing formula with stochastic volatility as a risk-neutral Poisson sum of Merton's (1973) prices over the option's information-time maturity domain. The formula contains two unobservable parameters, information arrival intensity and information-time asset volatility, with stochastic volatility induced by random information arrival. When the information arrival rate intensifies, the option price increases and vice-versa. We test the formula in pricing, hedging, and excess profits capture empirically using currency and the S&P 500 futures options transaction data.