This is a reprint of Dr. Edward Qian’s original paper on the subject of risk contribution and its impact on an investment portfolio’s performance – thus introducing the concept of Risk Parity based upon his initial research.
Due to a lack of clear financial interpretation, there are lingering questions in the financial industry regarding the concepts of risk contribution. This paper provides as well as analyzes risk contribution’s financial interpretation that is based on expected contribution to potential losses of a portfolio. We show risk contribution, defined through either standard deviation or value at risk (VaR), is closely linked to the expected contribution to the losses. In addition, for VaR contribution, our use of the Cornish-Fisher expansion method provides practitioners an efficient way to calculate risk contributions of portfolios with non-normal underlying returns. Empirical evidences are provided with asset allocation portfolios of stocks and bond.
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