This paper presents a tractable model of non-linear dynamics of market returns using a Langevin approach.Due to non-linearity of an interaction potential, the model admits regimes of both small and large return fluctuations. Langevin dynamics are mapped onto an equivalent quantum mechanical (QM)...

This paper presents a new option pricing approach for all underlying assets that precisely fits the market data. We obtain the probability density function of the underlying asset without any external parameter. The density function for a given expiration date is uniquely determined by the...

This paper develops a lattice method for option evaluation in the presence of regime shifts in the correlation structure of assets, aiming at investigating whether the option prices reflect such shifts. Specifically we try to investigate whether option prices reflect switches in the correlation...

We consider the Schwartz 97 two and three factor models, which have been considered as benchmarks for pricing commodity derivatives in the last two decades. In order to take account of sudden regime shifts in commodity prices, we superimpose a regime shifting structure onto this framework. Using...

This paper develops a closed-form model for options on commodities under the assumptions of mean-reversion in the commodity prices and regime-switching in the commodity returns volatility. After a closed-form solution for the option value in constant regimes has been developed, the model is...

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 derive explicit expressions for certain joint moments of stock prices and option prices within a generic affine stochastic volatility model. Evaluation of each moment requires weighted inverse Fourier transformation of a function that is determined by the risk-neutral and...

Affine jump diffusion models in general and affine stochastic volatility models in particular are important modeling tools in finance. Their popularity resides in their exibility coupled with their analytical tractability, especially with respect to characteristic functions and polynomial...

This paper proposes a linear option pricing model by imposing common market pricing on decentralized risk exposure estimates across option contracts underlying the same security. The model embeds historical moment estimators to anchor the breakeven contribution of each risk source. A...

We introduce a tractable class of non-affine price processes with multifrequency stochastic volatility and jumps. The specifi cations require few fixed parameters and deliver fast option pricing. One key ingredient is a tight link between jumps and volatility regimes, as asset pricing theory...