Pricing vulnerable options with stochastic volatility

G Wang, X Wang, K Zhou - Physica A: Statistical Mechanics and its …, 2017 - Elsevier
In this paper, we investigate the pricing issue of vulnerable options with stochastic volatility
by decomposing stochastic volatility into the long-term and short-term volatility. We describe …

Fractional Brownian motion in option pricing and dynamic delta hedging: Experimental simulations

TT Dufera - The North American Journal of Economics and Finance, 2024 - Elsevier
This research examines the impact of fractional Brownian motion (fBm) on option pricing and
dynamic delta hedging. Through experimental simulations, we analyze the influence of the …

Almost sure and moment exponential stability of regime-switching jump diffusions

Z Chao, K Wang, C Zhu, Y Zhu - SIAM Journal on Control and Optimization, 2017 - SIAM
This work is devoted to almost sure and moment exponential stability of regime-switching
jump diffusions. The Lyapunov function method is used to derive sufficient conditions for …

Pricing options under simultaneous stochastic volatility and jumps: A simple closed-form formula without numerical/computational methods

M Alghalith - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
We overcome the limitations of the previous literature in the European options pricing. In
doing so, we provide a closed-form formula that does not require any numerical …

Option Pricing under an abnormal economy: using the Square Root of the Brownian Motion

M Alghalith, WK Wong - Advances in Decision Sciences, 2022 - search.proquest.com
in general, under unusual economic states, the traditional models of options are not
suitable.[...] there is a need to consider alternative stochastic processes and models that …

American option valuation under time changed tempered stable Lévy processes

X Gong, X Zhuang - Physica A: Statistical Mechanics and Its Applications, 2017 - Elsevier
Given that the underlying assets in financial markets exhibit stylized facts such as
leptokurtosis, asymmetry, clustering properties and heteroskedasticity effect, this paper …

Measuring financial risk and portfolio reversion with time changed tempered stable Lévy processes

X Gong, X Zhuang - The North American Journal of Economics and Finance, 2017 - Elsevier
Given that underlying assets in financial markets exhibit stylized facts such as leptokurtosis,
asymmetry, clustering properties and heteroskedasticity effect, this paper applies the …

[HTML][HTML] Option pricing under the double exponential jump-diffusion model with stochastic volatility and interest rate

R Chen, Z Li, L Zeng, L Yu, Q Lin, J Liu - Journal of Management Science …, 2017 - Elsevier
This paper proposes an efficient option pricing model that incorporates stochastic interest
rate (SIR), stochastic volatility (SV), and double exponential jump into the jump-diffusion …

Pricing foreign equity option under stochastic volatility tempered stable Lévy processes

X Gong, X Zhuang - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
Considering that financial assets returns exhibit leptokurtosis, asymmetry properties as well
as clustering and heteroskedasticity effect, this paper substitutes the logarithm normal jumps …

Stock market daily volatility and information measures of predictability

G D'Amico, F Gismondi, F Petroni, F Prattico - Physica A: Statistical …, 2019 - Elsevier
The main purpose of this work is to investigate the relation between some measures in
information theory and the accuracy of volatility forecasting using a model of asset returns …