Main category
Social Sciences (Social Sciences)
Abstract
This paper presents a model for compute average volatility and correlation. Since an arithmetic average of log-normally distributed variables is not log-normal, We approximate the arithmetic average by matching its first and second moments with those of a log-normal variable. We generate the volatility of a log-normal variable that approximates an arithmetic average of asset prices. We also calculate the correlation between two log-normal variables chosen to match that between two arithmetic averages of asset prices.
Further reading
https://ia601306.us.archive.org/0/items/averageVol/averageVol.pdf
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