Lookback option pricing problem of mean-reverting stock model in uncertain environment
Miao Tian, Xiangfeng Yang, Yi Zhang
Abstract
<p style='text-indent:20px;'>A lookback option is an exotic option that allows investors to look back at the underlying prices occurring over the life of the option, and to exercise the right at assets optimal point. This paper proposes a mean-reverting stock model to investigate the lookback option in an uncertain environment. The lookback call and put options pricing formulas of the stock model are derived, and the corresponding numerical algorithms are designed to compute the prices of these two options.
Topics & Concepts
Mean reversionValuation of optionsStock (firearms)Exotic optionComputer scienceCall optionEconometricsFinancial economicsStock optionsBlack–Scholes modelEconomicsActuarial scienceFinanceVolatility (finance)EngineeringMechanical engineeringFuzzy Systems and OptimizationRisk and Portfolio OptimizationCapital Investment and Risk Analysis