Title
Asymptotic analysis of option pricing in a Markov modulated market
Abstract
We address asymptotic analysis of option pricing in a regime switching market where the risk free interest rate, growth rate and the volatility of the stocks depend on a finite state Markov chain. We study two variations of the chain namely, when the chain is moving very fast compared to the underlying asset price and when it is moving very slow. Using quadratic hedging and asymptotic expansion, we derive corrections on the locally risk minimizing option price.
Year
DOI
Venue
2009
10.1016/j.orl.2009.06.005
Oper. Res. Lett.
Keywords
Field
DocType
underlying asset price,markov modulated market,quadratic hedging,asymptotic expansion,minimal martingale measure,growth rate,risk free interest rate,asymptotic analysis,option pricing,finite state markov chain,risk minimizing option price,option price,regime switching market,mathematics,interest rate
Risk-free interest rate,Implied volatility,Mathematical optimization,Markov process,Valuation of options,Rational pricing,Markov chain,Asymptotic expansion,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
37
6
Operations Research Letters
Citations 
PageRank 
References 
2
0.47
3
Authors
2
Name
Order
Citations
PageRank
Arnab Basu1103.05
Mrinal K. Ghosh2289.78