Analytically pricing exchange options with stochastic liquidity and regime switching

XJ He, S Lin - Journal of Futures Markets, 2023 - Wiley Online Library
We investigate the valuation of exchange options when the market is affected by changing
economic conditions as well as liquidity risks. The volatility and expected returns of both …

A hidden Markov-modulated jump diffusion model for European option pricing

TK Siu - Hidden Markov Models in Finance: Further …, 2014 - Springer
The valuation of a European-style contingent claim is discussed in a hidden Markov regime-
switching jump-diffusion market, where the evolution of a hidden economic state process …

Analytically pricing variance and volatility swaps under a Markov-modulated model with liquidity risks

XJ He, S Lin - The North American Journal of Economics and Finance, 2023 - Elsevier
This paper determines strike prices of discretely sampled variance/volatility swaps taking
into account stochastic liquidity risks and the switching of economic conditions. We adopt …

A self-exciting threshold jump–diffusion model for option valuation

TK Siu - Insurance: Mathematics and Economics, 2016 - Elsevier
A self-exciting threshold jump–diffusion model for option valuation is studied. This model
can incorporate regime switches without introducing an exogenous stochastic factor …

Hedging options in a doubly Markov-modulated financial market via stochastic flows

TK Siu, RJ Elliott - International Journal of Theoretical and Applied …, 2019 - World Scientific
The hedging of a European-style contingent claim is studied in a continuous-time doubly
Markov-modulated financial market, where the interest rate of a bond is modulated by an …

Option pricing under a stochastic interest rate and volatility model with hidden Markovian regime-switching

DM Zhu, J Lu, WK Ching, TK Siu - Computational Economics, 2019 - Springer
In this paper we discuss an option pricing problem in a hidden Markovian regime-switching
model with a stochastic interest rate and volatility. Regime switches are attributed to …

A generalized Esscher transform for option valuation with regime switching risk

RJ Elliott, TK Siu - Quantitative Finance, 2022 - Taylor & Francis
A generalized Esscher transform is introduced for option valuation in a Markov regime-
switching model. It is intended that the generalized Esscher transform might provide novel …

Hedging options in a hidden Markov‐switching local‐volatility model via stochastic flows and a Monte‐Carlo method

RJ Elliott, TK Siu - Journal of Futures Markets, 2023 - Wiley Online Library
The hedging of European contingent claims in a continuous‐time hidden Markov‐regime‐
switching diffusion model is discussed using stochastic flows of diffeomorphisms and Monte …

Pricing dynamic fund protection under hidden Markov models

K Fan, Y Shen, TK Siu, R Wang - IMA Journal of Management …, 2018 - academic.oup.com
In this article, we discuss the pricing of dynamic fund protection when the value process of
the investment fund is governed by a geometric Brownian motion with parameters …

Asset pricing using trading volumes in a hidden regime-switching environment

RJ Elliott, TK Siu - Asia-Pacific Financial Markets, 2015 - Springer
By utilizing information about prices and trading volumes, we discuss the pricing of
European contingent claims in a continuous-time hidden regime-switching environment …