In this paper we introduce a discrete time pricing model for a European call option when the log-return of the underlying stock (asset) is subject to discontinuous market regime type of shifts in its mean or volatility whose risk can be priced in the market. The paper shows how to estimate this...

We investigate the effect of including variance derivatives as calibration and hedging instruments for pricing and hedging exotic structures. This is studied empirically using market data for SPX and VIX derivatives applied in a stochastic volatility jump diffusion model

We examine the pricing of volatility risk in the cross-section of equity Real Estate Investment Trust (REIT) stock returns over the 1996 – 2010 period. We consider both aggregate (systematic) volatility and firm-specific (idiosyncratic) volatility. In contrast to the negative and significant...

A time homogeneous, purely discontinuous, parsimonous Markov martingale model is proposed for the risk neutral dynamics of equity forward prices. Transition probabilities are in the variance gamma class with spot dependent parameters. Markov chain approximations give access to option prices. The...

The role of market jump risk premium implicit in individual equity options has not been examined to date. This paper develops a new factor model for equity returns and option pricing that takes into account the market's diffusive and jump risks. We estimate the model on a large cross section of...

We measure the skew risk premium in the equity index market through the skew swap. We argue that just as variance swaps can be used to explore the relationship between the implied variance in option prices and realized variance, so too can skew swaps be used to explore the relationship between...

We develop a continuous-time intertemporal CAPM model that allows for risky beta exposure, which we explicitly specify. In the model, the expected return on a stock depends on beta's co-movement with market variance and more generally with the stochastic discount factor and deviates from the...

Stocks with high idiosyncratic volatility perform poorly relative to low idiosyncratic volatility stocks. We offer a novel explanation of this anomaly based on real options, which is consistent with earlier findings on idiosyncratic volatility (the positive contemporaneous relation between...

This paper proposes a risk measure, based on first-passage probability, which reflects intra-horizon risk in jump models with finite or infinite jump activity. Our empirical investigation shows, first, that the proposed risk measure consistently exceeds the benchmark Value-at-Risk (VaR). Second,...

We use simultaneous data from equity, index and option markets in order to estimate a single-factor market model in which idiosyncratic volatility is allowed to be priced. We model the index dynamics' physical distribution as a mean-reverting stochastic volatility process as in Heston (1993),...