# Fat-Tailed Models for Risk Estimation

@article{Stoyanov2011FatTailedMF, title={Fat-Tailed Models for Risk Estimation}, author={Stoyan Stoyanov and S. Rachev and Boryana Racheva-Iotova and F. Fabozzi}, journal={The Journal of Portfolio Management}, year={2011}, volume={37}, pages={107 - 117} }

In the post-crisis era, financial institutions seem to be more aware of the risks posed by extreme events. Even though there are attempts to adapt methodologies drawing from the vast academic literature on the topic, there is also skepticism that fat-tailed models are needed. In this article, the authors address the common criticism and discuss three popular methods for extreme risk modeling based on full distribution modeling and extreme value theory.

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#### References

SHOWING 1-10 OF 37 REFERENCES

Tail Risk Management

- Economics
- 2008

In the current deleveraging episode, the severity and simultaneous realization of low-probability events across a number of strategies has brought portfolio tail-risk hedging to the center of… Expand

Non-Normality of Market Returns: A Framework for Asset Allocation Decision Making

- Economics
- The Journal of Alternative Investments
- 2009

When market stress and disruptions hit portfolios especially hard, it is natural for investors to ask if anything could have been done differently. The turmoil of 2007–2009 is just one among many… Expand

Beyond Value at Risk: Forecasting Portfolio Loss at Multiple Horizons

- Economics
- 2007

We develop a portfolio risk model that uses high-frequency data to forecast the loss surface, which is the set of loss distributions at future time horizons. Our model uses a fully automated,… Expand

CVaR sensitivity with respect to tail thickness

- Economics
- 2013

The sensitivity of a risk measure with respect to the parameters of the hypothesized distribution is a useful tool in investigating the impact of marginal rebalancing decisions on the portfolio… Expand

Increasing Correlations or Just Fat Tails

- Economics
- 2008

Increasing correlation during turbulent market conditions implies a reduction in portfolio diversification benefits. We investigate the robustness of recent empirical results that indicate a… Expand

A Comparison of Some Univariate Models for Value-at-Risk and Expected Shortfall

- Economics
- 2006

We compare in a backtesting study the performance of univariate models for Value-at-Risk (VaR) and expected shortfall based on stable laws and on extreme value theory (EVT). Analyzing these different… Expand

A Gentle Introduction to the RM2006 Methodology

- Engineering
- 2007

We present the basic concepts used in market risk evaluations, as well as the standard methodologies to compute quantitatively the risk. A new methodology is introduced with the goal to incorporate… Expand

Non-Normality Facts and Fallacies

- Mathematics
- 2010

Recently there has been an increasing trend in the quantitative finance community to call for statistical models which are explicitly model returns with non-normal probability distributions (e.g.… Expand

Hyperbolic distributions in finance

- Mathematics
- 1995

Distributional assumptions for the returns on the underlying assets play a key role in valuation theories for derivative securities. Based on a data set consisting of daily prices of the 30 DAX… Expand

Improved Estimates of Higher-Order Comoments and Implications for Portfolio Selection

- Economics
- 2010

In the presence of nonnormally distributed asset returns, optimal portfolio selection techniques require estimates for variance-covariance parameters, along with estimates for higher-order moments… Expand