Title
Risk Minimizing Option Pricing in a Semi-Markov Modulated Market
Abstract
We address risk minimizing option pricing in a semi-Markov modulated market where the floating interest rate depends on a finite state semi-Markov process. The growth rate and the volatility of the stock also depend on the semi-Markov process. Using the Föllmer-Schweizer decomposition we find the locally risk minimizing price for European options and the corresponding hedging strategy. We develop suitable numerical methods for computing option prices.
Year
DOI
Venue
2009
10.1137/080716839
SIAM J. Control and Optimization
Keywords
Field
DocType
semi-markov modulated market,option pricing,finite state semi-markov process,corresponding hedging strategy,european option,risk minimizing option pricing,llmer-schweizer decomposition,option price,growth rate,floating interest rate,semi-markov process
Implied volatility,Monte Carlo methods for option pricing,Mathematical optimization,Valuation of options,Rational pricing,Finite difference methods for option pricing,Asian option,Hedge (finance),Floating interest rate,Mathematics
Journal
Volume
Issue
ISSN
48
3
0363-0129
Citations 
PageRank 
References 
2
0.41
4
Authors
2
Name
Order
Citations
PageRank
Mrinal K. Ghosh1289.78
Anindya Goswami241.18