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...

This article aims to extend evaluation of the classic multifactor model of Carhart (1997) for the case of global equity indices and to expand analysis performed in Sakowski et. al. (2015). Our intention is to test several modifications of these models to take into account different dynamics of...

This is a survey of the basic theoretical foundations of intertemporal asset pricing theory. The broader theory is first reviewed in a simple discrete-time setting, emphasizing the key role of state prices. The existence of state prices is equivalent to the absence of arbitrage. State prices,...

This paper shows that the VIX market contains information on the variance of the S&P 500 returns, which is not already spanned by the S&P 500 market. We estimate a flexible affine model based on a joint time series of underlying indexes and option prices on both markets. We find that including...

This paper estimates how the shape of the implied volatility smile and the size of the variance risk premium relate to parameters of GARCH-type time-series models measuring how conditional volatility responds to return shocks. Markets in which return shocks lead to large increases in conditional...

We develop a conditional capital asset pricing model in continuous-time that allows for stochastic beta exposure. When beta co-moves with market variance and the stochastic discount factor (SDF), beta risk is priced, and the expected return on a stock deviates from the security market line. The...

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...

While CBOE's VIX index is widely acknowledged as a broad-based investor “fear gauge” for its strong inverse relationship with major equity indexes, one cannot necessarily expect it to translate to the level of future turbulence or investor risk aversion in fixed-income markets. Indeed,...