In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...

We introduce the class of linear-rational term structure models in which the state price density is modeled such that bond prices become linear-rational functions of the factors. This class is highly tractable with several distinct advantages: i) ensures nonnegative interest rates, ii) easily...

We show that liquidity risk is priced in the cross section of returns on credit default swaps (CDSs). We measure CDS market illiquidity by aggregating deviations of credit index levels from their no-arbitrage values implied by the index constituents' CDS spreads, and we construct a tradable...

While empirical literature has documented a negative relation between default risk and stock returns, the theory suggests that default risk should be positively priced. We provide an explanation for this "default anomaly", by calculating monthly probabilities of default (PDs) for a large sample...