Volatility derivatives

P Carr, R Lee - Annu. Rev. Financ. Econ., 2009 - annualreviews.org
Volatility derivatives are a class of derivative securities where the payoff explicitly depends
on some measure of the volatility of an underlying asset. Prominent examples of these …

Analytically pricing variance and volatility swaps with stochastic volatility, stochastic equilibrium level and regime switching

S Lin, XJ He - Expert Systems with Applications, 2023 - Elsevier
This paper proposes a new model with a two-factor stochastic equilibrium volatility level that
can be used to price variance and volatility swaps with nonlinear payoff. The adopted model …

A closed‐form exact solution for pricing variance swaps with stochastic volatility

SP Zhu, GH Lian - Mathematical Finance: An International …, 2011 - Wiley Online Library
In this paper, we present a highly efficient approach to price variance swaps with discrete
sampling times. We have found a closed‐form exact solution for the partial differential …

Pricing options on realized variance in the Heston model with jumps in returns and volatility

A Sepp - Journal of Computational Finance, 2008 - papers.ssrn.com
We develop analytical methodology for pricing and hedging options on the realized variance
under the Heston stochastic variance model (1993) augmented with jumps in asset returns …

Stochastic volatility models and the pricing of VIX options

J Goard, M Mazur - Mathematical Finance: An International …, 2013 - Wiley Online Library
In this paper, we examine and compare the performance of a variety of continuous‐time
volatility models in their ability to capture the behavior of the VIX. The “3/2‐model” with a …

Pricing options under a generalized Markov-modulated jump-diffusion model

RJ Elliott, TK Siu, L Chan, JW Lau - Stochastic Analysis and …, 2007 - Taylor & Francis
We consider the pricing of options when the dynamics of the risky underlying asset are
driven by a Markov-modulated jump-diffusion model. We suppose that the market interest …

[PDF][PDF] Research Online

VNT Le, B Apopei, K Alameh - Sciences, 2018 - academia.edu
Abstract© The Institution of Engineering and Technology 2019. The modulus switching
technique has been used in some cryptographic applications as well as in cryptanalysis. For …

[HTML][HTML] Optimal dividend distribution under Markov regime switching

Z Jiang, M Pistorius - Finance and Stochastics, 2012 - Springer
We investigate the problem of optimal dividend distribution for a company in the presence of
regime shifts. We consider a company whose cumulative net revenues evolve as a …

Pricing variance and volatility swaps in a stochastic volatility model with regime switching: discrete observations case

RJ Elliott, GH Lian - Quantitative Finance, 2013 - Taylor & Francis
This study presents a set of closed-form exact solutions for pricing discretely sampled
variance swaps and volatility swaps, based on the Heston stochastic volatility model with …

Two-factor Heston model equipped with regime-switching: American option pricing and model calibration by Levenberg–Marquardt optimization algorithm

F Mehrdoust, I Noorani, A Hamdi - Mathematics and Computers in …, 2023 - Elsevier
In this paper, we consider the pricing of American options under a regime-switching double
Heston model, such that the interest rate and mean-reversion level parameters in both …