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 …

Analytically pricing volatility swaps and volatility options with discrete sampling: Nonlinear payoff volatility derivatives

S Rujivan, U Rakwongwan - Communications in Nonlinear Science and …, 2021 - Elsevier
This paper presents the first analytical pricing formulas for volatility swaps and volatility
options with discrete sampling under the Black-Scholes model with time varying risk-free …

Analytically pricing volatility options and capped/floored volatility swaps with nonlinear payoffs in discrete observation case under the Merton jump-diffusion model …

S Rujivan - Applied Mathematics and Computation, 2025 - Elsevier
In this paper, we introduce novel analytical solutions for valuating volatility derivatives,
including volatility options and capped/floored volatility swaps, employing discrete sampling …

Efficient recursion-quadrature algorithms for pricing Asian options and variance derivatives under stochastic volatility and Lévy jumps

W Zhang, P Zeng, YK Kwok - Operations Research Letters, 2023 - Elsevier
We propose efficient algorithms for pricing discretely monitored arithmetic Asian options and
variance derivatives, which utilize the recursion of characteristic functions, quadrature over …

[图书][B] Pricing models of volatility products and exotic variance derivatives

YK Kwok, W Zheng - 2022 - taylorfrancis.com
Pricing Models of Volatility Products and Exotic Variance Derivatives summarizes most of
the recent research results in pricing models of derivatives on discrete realized variance and …

Saddlepoint approximation methods for pricing derivatives on discrete realized variance

W Zheng, YK Kwok - Applied Mathematical Finance, 2014 - Taylor & Francis
We consider the saddlepoint approximation methods for pricing derivatives whose payoffs
depend on the discrete realized variance of the underlying price process of a risky asset …

Short-maturity options on realized variance in local-stochastic volatility models

D Pirjol, X Wang, L Zhu - arXiv preprint arXiv:2411.02520, 2024 - arxiv.org
We derive the short-maturity asymptotics for prices of options on realized variance in local-
stochastic volatility models. We consider separately the short-maturity asymptotics for out-of …

A closed-form exact solution for pricing fixed-income variance swaps with affine-jump model

S Li, Y Zhang, C Zhu - The North American Journal of Economics and …, 2021 - Elsevier
Fixed-income variance swaps became popular for investors to trade and hedge the
fluctuation of interest rates after the recent global financial crisis over the past few decades …

A Note on Variance Swap Greeks

J Kirkby, N Rupprecht, JP Aguilar - Available at SSRN 4449345, 2023 - papers.ssrn.com
This note provides closed-form expressions for spatial Greeks (Delta and Gamma) for
discretely monitored realized variance swaps under several common parametric model …

Recursive algorithms for pricing discrete variance options and volatility swaps under time-changed Lévy processes

W Zheng, CH Yuen, YK Kwok - International Journal of Theoretical …, 2016 - World Scientific
We propose robust numerical algorithms for pricing variance options and volatility swaps on
discrete realized variance under general time-changed Lévy processes. Since analytic …