PT - JOURNAL ARTICLE AU - Jui-Jane Chang AU - Hui-Ming Pai AU - Ting-Pin Wu TI - Analytical Valuation of Exotic Double Barrier Options AID - 10.3905/jod.2020.1.118 DP - 2021 Feb 28 TA - The Journal of Derivatives PG - 97--122 VI - 28 IP - 3 4099 - https://pm-research.com/content/28/3/97.short 4100 - https://pm-research.com/content/28/3/97.full AB - This article derives the bivariate joint probability distribution functions of a geometric Brownian motion and the extreme values of another geometric Brownian. Based on the probability distribution functions, the authors develop the analytical pricing formulas of three exotic double barrier options (DBOs) with continuously monitored barriers, including rainbow DBOs, protected DBOs, and protected rainbow DBOs. By using the continuity correction of barriers proposed in research by Doobae Jun, the aforementioned pricing formulas can be further extended to price the three exotic DBOs with discretely monitored barriers. Some numerical examples are also provided for end-users to examine the pricing accuracy and efficiency and the properties of the exotic DBOs.TOPICS: Derivatives, optionsKey Findings▪ This article derives the bivariate joint probability distribution functions of a geometric Brownian motion and the extreme values of another geometric Brownian.▪ This article develops the analytical pricing formulas of three exotic double barrier options (DBOs) with continuously monitored barriers, including rainbow DBOs, protected DBOs, and protected rainbow DBOs.▪ By using the continuity correction of barriers proposed in research by Doobae Jun, the three exotic double barrier options with discretely monitored barriers are also developed.