Characterizing asset return dynamics using volatility models is an important part of empirical finance. The existing literature on GARCH models favors some rather complex volatility specifications whose relative performance is usually assessed through their likelihood based on a time-series of...

There is extensive empirical evidence that index option prices systematically differ from Black-Scholes prices. Out-of-the-money put prices (and in-the-money call prices) are relatively high compared to the Black-Scholes price. Motivated by these empirical facts, we develop a new discrete-time...

We survey the theory and empirical evidence on GARCH option valuation models. We provide an overview of different functional forms for the volatility dynamic, multifactor models, nonnormal innovation distributions and valuation techniques. We also discuss alternative pricing kernels used for...

We nest multiple volatility components, fat tails and a U-shaped pricing kernel in a single option model and compare their contribution to describing returns and option data. All three features lead to statistically significant model improvements. A U-shaped pricing kernel is economically most...

We show that the prices of risk for factors that are nonlinear in the market return are readily obtained using index option prices. The price of co-skewness risk corresponds to the market variance risk premium, and the price of co-kurtosis risk corresponds to the market skewness risk premium....

Standard option valuation models leave no room for option illiquidity premia. Yet we find the risk-adjusted return spread for illiquid over liquid equity options is 3.4 percent per day for at-the-money calls and 2.5 percent for at-the-money puts. These premia are computed using option...

We characterize dependence in corporate credit and equity returns for 215 firms using a new class of large-scale dynamic copula models. Copula dependence and especially tail dependence are highly variable and persistent, increase signifi cantly in the fi nancial crisis, and have remained high...

Equity options display a strong factor structure. The first principal components of the equity volatility levels, skews, and term structures explain a substantial fraction of the cross-sectional variation. Furthermore, these principal components are highly correlated with the S&P500 index option...

Options on crude oil futures are the most actively traded commodity options. We develop a class of computationally efficient discrete-time jump models that allow for closed-form option valuation, and we use crude oil futures and options data to investigate the economic importance of jumps and...

Both large oil price increases and decreases are associated with deteriorating economic conditions. Consistent with this stylized fact, we find that the projection of the state price density (SPD) on oil returns estimated from oil futures and option prices displays a U-shaped pattern. Because...