Stabilization of multi-link delayed neutral-type complex networks with jump diffusion via aperiodically intermittent control

J Feng, Y Li, Y Zhang, C Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper focuses on the exponential stabilization of multi-link neutral-type complex
networks with jump diffusion and mixed delays (MNCNJDs) via aperiodically intermittent …

A unified analytical approach to fixed and moving boundary problems for the heat equation

MR Rodrigo, N Thamwattana - Mathematics, 2021 - mdpi.com
Fixed and moving boundary problems for the one-dimensional heat equation are
considered. A unified approach to solving such problems is proposed by embedding a given …

Pricing of barrier options on underlying assets with jump-diffusion dynamics: a Mellin transform approach

MR Rodrigo - Mathematics, 2020 - mdpi.com
A barrier option is an exotic path-dependent option contract where the right to buy or sell is
activated or extinguished when the underlying asset reaches a certain barrier price during …

Pricing formulas for perpetual American options with general payoffs

MR Rodrigo - IMA Journal of Management Mathematics, 2022 - academic.oup.com
An American option gives the holder the right, but not the obligation, to buy/sell an
underlying asset from/to the writer at an agreed strike price at any time on or before the …

Pricing vulnerable options in a mixed fractional Brownian motion with jumps

P Cheng, Z Xu - Discrete Dynamics in Nature and Society, 2021 - Wiley Online Library
A new framework for pricing European vulnerable options is developed in the case where
the underlying stock price and firm value follow the mixed fractional Brownian motion with …

Option pricing under time interval driven model

Z Guo, X Wang, Y Zhang - Communications in Statistics-Simulation …, 2023 - Taylor & Francis
A new model which we called time driven model for option pricing is proposed. In this model,
the price of underlying asset is driven by different random driving source in different time …

The valuation of options on discrete dividend-paying stocks

Y Shan, H Shu, X Zhang, H Yi - Applied Economics Letters, 2024 - Taylor & Francis
In this paper, the valuation of European options in which the underlying stock pays a
discrete dividend is investigated. A specific value is set in advance, and a dividend is paid …

A combined compact difference scheme for option pricing in the exponential jump-diffusion models

R Akbari, R Mokhtari, MT Jahandideh - Advances in Difference Equations, 2019 - Springer
In the present paper, starting with the Black–Scholes equations, whose solutions are the
values of European options, we describe the exponential jump-diffusion model of Levy …

Calibrating with a smile: A Mellin transform approach to volatility surface calibration

M Rodrigo, A Lo - Econometrics and Statistics, 2022 - Elsevier
The implied volatility in the Black-Scholes framework is not a constant but a function of both
the strike price (“smile/skew”) and the time to expiry. A popular approach to recovering the …

On a strongly continuous semigroup for a Black-Scholes integro-differential operator: European options under jump-diffusion dynamics

MR Rodrigo - Applicable Analysis, 2023 - Taylor & Francis
We consider a Black-Scholes integro-differential operator associated with a partial integro-
differential equation for pricing European options with a jump-diffusion process for the …