Option Pricing Under the Markov-switching Framework Defined by Three States
An exact solution for the valuation of the options of the European style can be obtained using the Black-Scholes model. However, some of the limitations of the Black-Scholes model are said to be inconsistent such as the constant volatility of the stock price which is not the case in real life. In th...
| Main Authors: | , |
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| Format: | Others |
| Language: | English |
| Published: |
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation
2020
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| Subjects: | |
| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-48808 |
| Summary: | An exact solution for the valuation of the options of the European style can be obtained using the Black-Scholes model. However, some of the limitations of the Black-Scholes model are said to be inconsistent such as the constant volatility of the stock price which is not the case in real life. In this thesis, the Black-Scholes model is extended to a model where the volatility is fully stochastic and changing over time, modelled by Markov chain with three states - high, medium and low. Under this model, we price options of both types, European and American, using Monte Carlo simulation. |
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