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Pricing stock options under expected increasing and decreasing price cases.(Author abstract)

Several studies have shown that the distributions of logarithmic returns of many securities exhibit persistent skewness. The S&P 500 often follows patterns of persistent change that are characterized by skewness. In option pricing, skewness in a binomial process impacts the values of the up and down parameters and changes their asymptotic properties such that for a large number of subperiods, they depend on the variance, skewness, and mean. We illustrate how the Johnson, Pawlukiewicz, and Mehta skewness-adjusted model can be used to calibrate a binomial tree for increasing and decreasing stock price cases where the end-of-the period distribution is characterized by skewness. We then show ...

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