Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/138714
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- Title
- Option pricing for GARCH models with Markov switching
- Related
- International journal of theoretical and applied finance, Vol. 9, Issue 6, (2006), p.825-841
- Publisher
- World Scientific Publishing
- Date
- 2006
- FoR/RFCD Code(s)
-
150200 Banking, Finance and Investment
- Author/Creator
- Elliott, Robert J
- Author/Creator
- Siu, Tak Kuen
- Author/Creator
- Chan, Leunglung
- Description
- In this paper we develop a method for pricing derivatives under a Markov switching version of the Heston-Nandi GARCH (1, 1) model by using a well known tool from actuarial science, namely the Esscher transform. We suppose that the dynamics of the GARCH process switch over time according to one of the regimes described by the states of an observable Markov chain process. By augmenting the conditional Esscher transform with the observable Markov switching process, a Markov switching conditional Esscher transform (MSCET) is developed to identify a martingale measure for option valuation in the incomplete market described by our model. We provide an alternative approach for the derivation of an analytical option valuation formula under the Markov switching Heston-Nandi GARCH (1, 1) model. The use of the MSCET can be justified by considering a utility maximization problem with respect to a power utility function associated with the Markov switching risk-averse parameters.
- Description
- 17 page(s)
- Subject Keyword
- 150200 Banking, Finance and Investment
- Subject Keyword
- analytical option valuation
- Subject Keyword
- Markov switching conditional Esscher transform
- Subject Keyword
- Markov switching Heston-Nandi's GARCH model
- Subject Keyword
- recursive formula
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Actuarial Studies
- Identifier
- http://hdl.handle.net/1959.14/138714
- Identifier
- ISSN:0219-0249
- Identifier
- mq-rm-2009000447
- Language
- eng
- Reviewed
