Abstract
We study an incomplete market model, based on jump-diffusion processes with parameters that are switched at random times. The set of equivalent martingale measures is determined. An analogue of the fundamental equation for the option price is derived. In the case of the two-state hidden Markov process we obtain explicit formulae for the option prices. Furthermore, we numerically compare the results corresponding to different equivalent martingale measures.
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Ratanov, N. Option Pricing Under Jump-Diffusion Processes with Regime Switching. Methodol Comput Appl Probab 18, 829–845 (2016). https://doi.org/10.1007/s11009-015-9462-7
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DOI: https://doi.org/10.1007/s11009-015-9462-7
Keywords
- Jump-telegraph process
- Jump-diffusion process
- Martingales
- Relative entropy
- Financial modelling
- Option pricing
- Esscher transform