A General Approach to Integrated Risk Management with Skewed, Fat-Tailed Risk

A General Approach to Integrated Risk Management with Skewed, Fat-Tailed Risk

Rosenberg, Joshua V. and Schuermann, Til, "A General Approach to Integrated Risk Management with Skewed, Fat-Tailed Risk" (May 2004). FRB of New York Staff Report No. 185.

Abstract:

The goal of integrated risk management in a financial institution is to measure and manage risk and capital across a range of diverse business activities. This requires an approach for aggregating risk types (market, credit, and operational) whose distributional shapes vary considerably. In this paper, we construct the joint risk distribution for a typical large, internationally active bank using the method of copulas. This technique allows us to incorporate realistic marginal distributions that capture some of the essential empirical features of these risks like skewness and fat-tails while allowing for a rich dependence structure. We explore the impact of business mix and inter-risk correlations on total risk, whether measured by value-at-risk or expected shortfall. We find that given a risk type, total risk is more sensitive to differences in business mix or risk weights than to differences in inter-risk correlations. There is a complex relationship between volatility and fat-tails in determining the total risk: depending on the setting, they either offset or reinforce each other. The choice of copula (normal versus Student-t), which determines the level of tail dependence, has a more modest effect on risk. We then compare the copula-based method with several conventional approaches to computing risk, each of which may be thought of as an approximation. One easily implemented approximation, which uses empirical correlations and quantile estimates, tracks the copula approach surprisingly well. In contrast, the additive approximation, which assumes no diversification benefit, typically overestimates risk by about 30-40%.

Here are some quotes from our visitors about the value of a MBA ... MBA will help facilitate the orchard, a planned development district with agricultural and natural areas and five single-family homes for low income. ... MBA will help you make the change you need for you career. additional skills and experiences will also be developed in a MBA program. ... MBA will help to you to achieve your goals and advance in your career, take some time to explore our site. we offer programs that can help you gain knowledge and insight.

Facts on MBA Many programs allow students to specialize in a particular area, such as organizational behaviour, marketing, accounting, finance, operations management, technology management, strategy or international business. Unspecialized MBA programs often focus second-year studies on strategy. The UK Government announced in its April 2004 budget that persons holding an MBA degree from the world's top fifty business schools will be entitled to work in the UK for one year. After this year has elapsed, they are likely to qualify for the UK's Highly Skilled Migrant Programme. This, in effect, means that an MBA from one of the top schools is a ticket to UK residency status.

This site is growing and will contain info on subjects like mba on line , online mba courses and mba application essay .