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 …

Closed‐Form Formulae for Variance and Volatility Swaps Under Stochastic Volatility With Stochastic Liquidity Risks

S Lin, XJ He - Journal of Futures Markets, 2024 - Wiley Online Library
We construct a stochastic volatility model considering stochastic liquidity risks when valuing
variance and volatility swaps with discrete sampling. We base our model on Heston …

A general framework for discretely sampled realized variance derivatives in stochastic volatility models with jumps

Z Cui, JL Kirkby, D Nguyen - European Journal of Operational Research, 2017 - Elsevier
After the recent financial crisis, the market for volatility derivatives has expanded rapidly to
meet the demand from investors, risk managers and speculators seeking diversification of …

Solution of the fractional Black‐Scholes option pricing model by finite difference method

L Song, W Wang - Abstract and applied analysis, 2013 - Wiley Online Library
This work deals with the put option pricing problems based on the time‐fractional Black‐
Scholes equation, where the fractional derivative is a so‐called modified Riemann‐Liouville …

An analytical formula for VIX futures and its applications

SP Zhu, GH Lian - Journal of Futures Markets, 2012 - Wiley Online Library
In this study we present a closed‐form, exact solution for the pricing of VIX futures in a
stochastic volatility model with simultaneous jumps in both the asset price and volatility …

A probabilistic approach for the valuation of variance swaps under stochastic volatility with jump clustering and regime switching

XJ He, S Lin - Financial Innovation, 2024 - Springer
The effects of stochastic volatility, jump clustering, and regime switching are considered
when pricing variance swaps. This study established a two-stage procedure that simplifies …

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 …

Closed form pricing formulas for discretely sampled generalized variance swaps

W Zheng, YK Kwok - Mathematical Finance, 2014 - Wiley Online Library
Most of the existing pricing models of variance derivative products assume continuous
sampling of the realized variance processes, though actual contractual specifications …

Pricing VIX options with stochastic volatility and random jumps

GH Lian, SP Zhu - Decisions in Economics and Finance, 2013 - Springer
This study presents an analytical exact solution for the price of VIX options under stochastic
volatility model with simultaneous jumps in the asset price and volatility processes. We shall …

Can the Heston model forecast energy generation? A systematic literature review

B Reichert, AM Souza - International Journal of Energy …, 2022 - econjournals.com.tr
The ability to predict the price of stock exchange assets has attracted the attention of
economists and physicists around the world, as physical models are useful to predict …