Heston stochastic vol-of-vol model for joint calibration of VIX and S&P 500 options

JP Fouque, YF Saporito - Quantitative Finance, 2018 - Taylor & Francis
A parsimonious generalization of the Heston model is proposed where the volatility-of-
volatility is assumed to be stochastic. We follow the perturbation technique of Fouque et al …

Optimal trading with signals and stochastic price impact

JP Fouque, S Jaimungal, YF Saporito - SIAM Journal on Financial …, 2022 - SIAM
Trading frictions are stochastic. They are, moreover, in many instances fast mean-reverting.
Here, we study how to optimally trade in a market with stochastic price impact and study …

The short‐time behavior of VIX‐implied volatilities in a multifactor stochastic volatility framework

A Barletta, E Nicolato, S Pagliarani - Mathematical Finance, 2019 - Wiley Online Library
We consider a modeling setup where the volatility index (VIX) dynamics are explicitly
computable as a smooth transformation of a purely diffusive, multidimensional Markov …

Optimal investment for insurance company with exponential utility and wealth-dependent risk aversion coefficient

Ł Delong - Mathematical Methods of Operations Research, 2019 - Springer
We investigate an exponential utility maximization problem for an insurer who faces a
stream of non-hedgeable claims. The insurer's risk aversion coefficient changes in time and …

A scaled version of the double-mean-reverting model for VIX derivatives

J Huh, J Jeon, JH Kim - Mathematics and Financial Economics, 2018 - Springer
As the Heston model is not consistent with VIX data in real market well enough, alternative
stochastic volatility models including the double-mean-reverting model of Gatheral (in …

A closed-form approximation for pricing spread options on futures under a mean-reverting spot price model with multiscale stochastic volatility

SY Baek, JH Kim - Probability in the Engineering and Informational …, 2024 - cambridge.org
Commodity spot prices tend to revert to some long-term mean level and most commodity
derivatives are based on futures prices, not on spot prices. So, we consider spread options …

[PDF][PDF] PRICING VULNERABLE OPTIONS WITH CONSTANT ELASTICITY OF VARIANCE VERSUS STOCHASTIC ELASTICITY OF VARIANCE.

LEE Min-Ku, Y Sung-Jin, KIM Jeong-Hoon - Economic Computation & …, 2017 - eadr.ro
In order to handle option writer's credit risk, a different underlying price model is required
beyond the well-known Black-Scholes model. This paper adopts a recently developed …

Modelo de Volatilidade Estocástica para Derivativos em VIX

MMA Barbosa - 2022 - bdtd.ibict.br
Nesse trabalho utilizamos o método de aproximação de primeira ordem para opções em
contrato futuros no índice VIX. O trabalho que contém as diretrizes gerais usada nesta …

Asymptotics of Implied Volatility in the Gatheral Model

F Tewolde, J Zhang - 2019 - diva-portal.org
The double-mean-reverting model by Gatheral is motivated by empirical dynamics of the
variance of the stock price. No closed-form solution for European option exists in the above …

Asymptotic optimality of a first-order approximate strategy for an exponential utility maximization problem with a small coefficient of wealth-dependent risk aversion

Ł Delong - Applied Mathematics & Optimization, 2021 - Springer
In Delong 8 we investigate an exponential utility maximization problem for an insurer who
faces a stream of non-hedgeable claims. We assume that the insurer's risk aversion …