Authors
Lisa R Goldberg, Michael Y Hayes, Jose Menchero, Indrajit Mitra
Publication date
2009/2/17
Journal
MSCI Barra Research Paper
Issue
2009-4
Description
Quantitative risk management relies on a constellation of tools that are used to analyze portfolio risk. We develop the standard toolkit, which includes betas, risk budgets and correlations, in a general, coherent, mnemonic framework centered around marginal risk contributions. We apply these tools to generate side-by-side analyses of volatility and expected shortfall, which is a measure of average portfolio excess of value-at-risk. We focus on two examples whose importance is highlighted by the current economic crisis. By examining downside protection provided by an out-of-the-money put option we show that the diversification benefit of the option is greater for a risk measure that is more highly concentrated in the tail of the distribution. By comparing two-asset portfolios that are distinguished only by the likelihood of coincident extreme events, we show that expected shortfall measures market contagion in a way that volatility cannot.
Total citations
20092010201120122013201420152016201720182111112
Scholar articles
LR Goldberg, MY Hayes, J Menchero, I Mitra - MSCI Barra Research Paper, 2009