We extend and generalize some results on bounding security prices under several stochastic volatility models that provide closed-form expressions for option prices. In detail, we have computed analytical expressions for benchmark and standard good-deal bounds. For all the models, our findings...

This papers addresses the stock option pricing problem in a continuous time market model where there are two stochastic tradable assets, and one of them is selected as a num'eraire. It is shown that the presence of arbitrarily small stochastic deviations in the evolution of the num'eraire...

We study the problem of pricing contingent claims in the presence of uncertainty about the timing and the size of a jump in the price of the underlying. We characterize the price of the claim as the minimal solution of a constrained BSDE and derive a pricing PDE in the special case of a...

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...

By exploiting the flexibility of the Wishart process, we propose an application of this framework to the pricing of Chicago Board Options Exchange (CBOE) volatility index (VIX) options. Our methodology is analytically tractable and yet flexible enough to efficiently price CBOE VIX options. In...

In this paper we propose a novel flexible framework based on time changed Lévy process for the joint evolution of stock log-returns and their volatility with the aim of analysing which risk factors and which distribution features provide a robust calibration, repricing and hedging performance....

A new acceptable price approach to stochastic endpoint determination at given horizon accounting for the marginal investor beliefs and behaviour was proposed. Two-sided filtration with FBSDE defined stochastic dynamics was formulated for acceptable asset price under the risk-neutral probability...

We present a generalization of Cochrane and Saá-Requejo's good-deal bounds which allows to include in a flexible way the implications of a given stochastic discount factor model. Furthermore, a useful application to stochastic volatility models of option pricing is provided where closed-form...