This paper aims to test three parametric models in pricing and hedging higher-order moment swaps. Using vanilla option prices from the volatility surface of the Euro Stoxx 50 Index, the paper shows that the pricing accuracy of these models is very satisfactory under four different pricing error...

This paper tests the pricing accuracy and the hedging performance of the stochastic volatility with random jumps model in markets extended to contain swap contracts whose payoffs depend on the realized higher moments of the state variable. Using a two-step iterative approach, latent model...