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 …

The Closed-Form Solution of an Extraction Model and Optimal Stopping Problems with Regime Switching

YC Zhang, N Zhang, Q Zhou - Mathematics, 2023 - mdpi.com
We aim to obtain by viscosity solution method the closed-form solution of a model
concerning natural resource extraction in which a firm draws a schedule of when to stop the …

A viscosity solution method for optimal stopping problems with regime switching

YC Zhang, N Zhang - Acta Applicandae Mathematicae, 2020 - Springer
We employ the viscosity solution technique to analyze optimal stopping problems with
regime switching. To be specific, we show the viscosity property of value functions with the …

A stochastic control approach to bid-ask price modelling

EJC Dela Vega, RJ Elliott - International Journal of Theoretical and …, 2022 - World Scientific
This paper develops a model for the bid and ask prices of a European-type asset by
formulating a stochastic control problem. The state process is governed by a modified …