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Abstract
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, we 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, options
Key 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.
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Alternatively, Call a member of the team to discuss membership options
US and Overseas: +1 646-931-9045
UK: 0207 139 1600