2020

Accounting for Biases in Black-Scholes, Backus, Foresi & Wu (2004)

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This paper provides a new method to reverse-engineer a empirical distribution than corrects for excess skewness and kurtosis by matching up to the third-order cumulant, which gives insight what to do when the Black-Scholes assumptions are violated.

Unified Pricing of Asian Options, Vecer (2002)

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This is a derivation of unified arithmetic average asian option pricing PDE by Jan Vercer, which is achieved by replicating strategy and change of measure. A proper change of measure leads the pricing problem to a simple one-dimensional PDE without drift, which can be done via numerical methods.