Price Pseudo-Variance, Pseudo-Covariance, Pseudo-Volatility, and Pseudo-Correlation Swaps - In Analytical Closed-Forms

Abstract

In the usual complete market framework, the unique prices of swaps involving so-called pseudo-statistics can be computed as the mathematical expectation of the discounted payoffs under the measure in which the discounted rate process is a martingale. In this report, we present analytic formulas for these expectations for the pseudo-variance and pseudo-volatility swaps, as requested by the problem statement. Also, we use Monte-Carlo simulation to experiment with a stochastic volatility model.