Option Pricing with a Regime-Switching Lévy Model

Author(s):  
Chi Chung Siu
2016 ◽  
Vol 19 (02) ◽  
pp. 1650012 ◽  
Author(s):  
J. X. JIANG ◽  
R. H. LIU ◽  
D. NGUYEN

This paper develops simple and efficient tree approaches for option pricing in switching jump diffusion models where the rates of switching are assumed to depend on the underlying asset price process. The models generalize many existing models in the literature and in particular, the Markovian regime-switching models with jumps. The proposed trees grow linearly as the number of tree steps increases. Conditions on the choices of key parameters for the tree design are provided that guarantee the positivity of branch probabilities. Numerical results are provided and compared with results reported in the literature for the Markovian regime-switching cases. The reported numerical results for the state-dependent switching models are new and can be used for comparison in the future.


2017 ◽  
Vol 08 (08) ◽  
pp. 1005-1032 ◽  
Author(s):  
Bruno Rémillard ◽  
Alexandre Hocquard ◽  
Hugo Lamarre ◽  
Nicolas Papageorgiou

2020 ◽  
Vol 83 (3) ◽  
Author(s):  
Geraldine Tour ◽  
Nawdha Thakoor ◽  
Jingtang Ma ◽  
Désiré Yannick Tangman

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