We consider dynamic sublinear expectations (i.e., time-consistent coherent risk measures) whose scenario sets consist of singular measures corresponding to a general form of volatility uncertainty. We derive a càdlàg nonlinear martingale which is also the value process of a superhedging...

We investigate the market-compatible degree of agent heterogeneity by identifying and analyzing the full range of conditional beliefs consistent with observed asset prices and good-deal bounds. Our methodology neither makes assumptions on underlying processes nor does it use survey data. It can...

The volatilities of Treasury and time deposit markets comove with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of Treasury volatility or, say, that of the Eurodollar LIBOR? How...

Eurodollar deposit volatility comoves with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of time deposit volatility? How can we express this price in a model-free format? Despite...

Credit volatility correlates quite modestly with equity volatility. Currently, only backward-looking indexes for credit volatility exist. We derive model-free indexes of expected CDS index spread volatility that rely on CDS index option prices, which re ect the fair value of dedicated credit...

Treasury price volatility comoves with equity volatility quite heterogeneously over time, with correlations ranging from negative to positive, and marked by periods of rapid movement. What is the price of Treasury volatility? How can we express this price in a model-free format? Despite the...

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 construct a derivative that depends on the SPY and VIX and, in this way, incorporates both the market risk premium and the variance risk premium. We show that the product's Sharpe ratio is higher than the SPY Sharpe ratio. If we invest $10000 into the product, the products' payoff is around...

Empirical evidence suggests that fixed income markets exhibit unspanned stochastic volatility (USV), that is, that one cannot fully hedge volatility risk solely using a portfolio of bonds. While Collin-Dufresne and Goldstein (2002) showed that no two-factor Cox-Ingersoll-Ross (CIR) model can...