The metalog distributions represent a convenient way to approach many practical application. Their distinctive feature is simple closed-form expressions for quantile functions. This paper contributes to further development of the metalog distributions by deriving the closed-form expressions for...

Many practitioners annualize VaR just like the standard deviation. We show that this approach is incorrect, and a more sophisticated formula should be used for deriving a periodic VaR from parameters of the daily returns distribution. Another problem addressed here is the distribution of daily...

This article introduces a new approach to the tracking portfolio composition. Unlike traditional approaches, it doesn't require benchmark composition to be known and works on any sets of assets. Models presented in the article allow deriving a portfolio composition that results in the optimal...

An optimal portfolio with the highest possible Sharpe ratio plays an important role for capital allocation and performance evaluation. This paper introduces a simple algorithm for finding the Sharpe-optimal portfolio without solving a non-linear problem. The results are tested on S&P 100...