A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire of...

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 estimate post-jump volatility-decay risk premia as the predictable ‎difference between periods of high and low diffusive volatility. By ‎constructing straddle portfolios after positive and negative jumps occur, we ‎show that the gains that these hedged options' portfolios yield...

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...

We forecast monthly Value at Risk (VaR) and Conditional Value at Risk (CVaR) using option market data and four different econometric techniques. Independently from the econometric approach used, all models produce quick to estimate forward-looking risk measures that do not depend from the amount...