Implied Pricing Kernels: An Alternative Approach for Option Valuation

2013 ◽  
Vol 35 (2) ◽  
pp. 127-147 ◽  
Author(s):  
Doojin Ryu ◽  
Jangkoo Kang ◽  
Sangwon Suh
2006 ◽  
Vol 09 (06) ◽  
pp. 825-841 ◽  
Author(s):  
ROBERT J. ELLIOTT ◽  
TAK KUEN SIU ◽  
LEUNGLUNG CHAN

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.


Author(s):  
Kadir G. Babaoglu ◽  
Peter Christoffersen ◽  
Steven L. Heston ◽  
Kris Jacobs

2017 ◽  
Vol 8 (2) ◽  
pp. 183-231 ◽  
Author(s):  
Kadir Babaoğlu ◽  
Peter Christoffersen ◽  
Steven Heston ◽  
Kris Jacobs

2004 ◽  
Vol 171 (4S) ◽  
pp. 249-249
Author(s):  
Paulo Palma ◽  
Cassio Riccetto ◽  
Marcelo Thiel ◽  
Miriam Dambros ◽  
Rogerio Fraga ◽  
...  

1986 ◽  
Vol 3 (3) ◽  
pp. 65-85
Author(s):  
Donald E. Weber ◽  
William H. Burke

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