Title
Pricing American options with uncertain volatility through stochastic linear complementarity models
Abstract
We consider the problem of pricing American options with uncertain volatility and propose two deterministic formulations based on the expected value method and the expected residual minimization method for a stochastic complementarity problem. We give sufficient conditions that ensure the existence of a solution of those deterministic formulations. Furthermore we show numerical results and discuss the usefulness of the proposed approach.
Year
DOI
Venue
2011
10.1007/s10589-010-9344-4
Comp. Opt. and Appl.
Keywords
Field
DocType
Option pricing,American option,Uncertain volatility,Stochastic linear complementarity problem
Complementarity (molecular biology),Implied volatility,Residual,Mathematical optimization,Mathematical economics,Valuation of options,Complementarity theory,Expected value,Mixed complementarity problem,Volatility (finance),Mathematics
Journal
Volume
Issue
ISSN
50
2
0926-6003
Citations 
PageRank 
References 
4
0.42
4
Authors
2
Name
Order
Citations
PageRank
Kenji Hamatani140.42
Masao Fukushima22050172.73