In this article, we describe the various sorts of American Parisian options and propose valuation formulae. Although there is no closed-form valuation for these products in the non perpetual case, we have been able to reformulate their price as a function of the exercise frontier. In the...

We explore the pricing of variance risk by decomposing stocks' total variance into systematicand idiosyncratic return variances. While systematic variance risk exhibits a negative priceof risk, common shocks to the variances of idiosyncratic returns carry a large positive riskpremium. This...