Extreme observations and risk assessment in the equity markets of MENA region: Tail measures and Value-at-Risk
AbstractThe standard "delta-normal" Value-at-Risk methodology requires that the underlying returns generating distribution for the security in question is normally distributed, with moments which can be estimated using historical data and are time-invariant. However, the stylized fact that returns are fat-tailed is likely to lead to under-prediction of both the size of extreme market movements and the frequency with which they occur. In this paper, we use the extreme value theory to analyze four emerging markets belonging to the MENA region (Egypt, Jordan, Morocco, and Turkey). We focus on the tails of the unconditional distribution of returns in each market and provide estimates of their tail index behavior. In the process, we find that the returns have significantly fatter tails than the normal distribution and therefore introduce the extreme value theory. We then estimate the maximum daily loss by computing the Value-at-Risk (VaR) in each market. Consistent with the results from other developing countries [see Gencay, R. and Selcuk, F., (2004). Extreme value theory and Value-at-Risk: relative performance in emerging markets. International Journal of Forecasting, 20, 287-303; Mendes, B., (2000). Computing robust risk measures in emerging equity markets using extreme value theory. Emerging Markets Quarterly, 4, 25-41; Silva, A. and Mendes, B., (2003). Value-at-Risk and extreme returns in Asian stock markets. International Journal of Business, 8, 17-40], generally, we find that the VaR estimates based on the tail index are higher than those based on a normal distribution for all markets, and therefore a proper risk assessment should not neglect the tail behavior in these markets, since that may lead to an improper evaluation of market risk. Our results should be useful to investors, bankers, and fund managers, whose success depends on the ability to forecast stock price movements in these markets and therefore build their portfolios based on these forecasts.
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Bibliographic InfoArticle provided by Elsevier in its journal International Review of Financial Analysis.
Volume (Year): 18 (2009)
Issue (Month): 3 (June)
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Web page: http://www.elsevier.com/locate/inca/620166
Extreme value theory MENA stock markets Hill estimator VaR;
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- Lagoarde-Segot, Thomas & Lucey, Brian M., 2008. "Efficiency in emerging markets--Evidence from the MENA region," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(1), pages 94-105, February.
- Darrat, Ali F. & Pennathur, Anita, 2002. "Are the Arab Maghreb countries really integratable?: Some evidence from the theory of cointegrated systems," Review of Financial Economics, Elsevier, vol. 11(2), pages 79-90.
- Longin, Francois M, 1996. "The Asymptotic Distribution of Extreme Stock Market Returns," The Journal of Business, University of Chicago Press, vol. 69(3), pages 383-408, July.
- Nikkinen, Jussi & Omran, Mohammad M. & Sahlstrom, Petri & Aijo, Janne, 2008. "Stock returns and volatility following the September 11 attacks: Evidence from 53 equity markets," International Review of Financial Analysis, Elsevier, vol. 17(1), pages 27-46.
- Hammoudeh, Shawkat & Li, Huimin, 2008. "Sudden changes in volatility in emerging markets: The case of Gulf Arab stock markets," International Review of Financial Analysis, Elsevier, vol. 17(1), pages 47-63.
- Butler, Kirt C. & Malaikah, S. J., 1992. "Efficiency and inefficiency in thinly traded stock markets: Kuwait and Saudi Arabia," Journal of Banking & Finance, Elsevier, vol. 16(1), pages 197-210, February.
- Longin, Francois M., 2000. "From value at risk to stress testing: The extreme value approach," Journal of Banking & Finance, Elsevier, vol. 24(7), pages 1097-1130, July.
- Lagoarde-Segot, Thomas & Lucey, Brian M., 2007. "International portfolio diversification: Is there a role for the Middle East and North Africa?," Journal of Multinational Financial Management, Elsevier, vol. 17(5), pages 401-416, December.
- Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991.
"Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?,"
Cowles Foundation Discussion Papers
979, Cowles Foundation for Research in Economics, Yale University.
- Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
- Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
- Tom Doan, . "KPSS: RATS procedure to perform KPSS (Kwiatowski, Phillips, Schmidt, and Shin) stationarity test," Statistical Software Components RTS00100, Boston College Department of Economics.
- Appiah-Kusi, Joe & Menyah, Kojo, 2003. "Return predictability in African stock markets," Review of Financial Economics, Elsevier, vol. 12(3), pages 247-270.
- Harvey, Campbell R, 1995.
"Predictable Risk and Returns in Emerging Markets,"
Review of Financial Studies,
Society for Financial Studies, vol. 8(3), pages 773-816.
- Ghysels, Eric & Cherkaoui, Mouna, 2003. "Emerging markets and trading costs: lessons from Casablanca," Journal of Empirical Finance, Elsevier, vol. 10(1-2), pages 169-198, February.
- Koedijk, C.G. & Schafgans, M.M.A. & Vries, C.G. de, 1990. "The tail index of exchange rate returns," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3108722, Tilburg University.
- Jansen, Dennis W & de Vries, Casper G, 1991.
"On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective,"
The Review of Economics and Statistics,
MIT Press, vol. 73(1), pages 18-24, February.
- Dennis Jansen & Casper de Vries, 1988. "On the frequency of large stock returns: putting booms and busts into perspective," Working Papers 1989-006, Federal Reserve Bank of St. Louis.
- Tae-Hwy Lee & Yong Bao & Burak Saltoglu, 2006. "Evaluating predictive performance of value-at-risk models in emerging markets: a reality check," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(2), pages 101-128.
- Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
- Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-80, April.
- Brooks, Robert, 2007. "Power arch modelling of the volatility of emerging equity markets," Emerging Markets Review, Elsevier, vol. 8(2), pages 124-133, May.
- De Santis, Giorgio & imrohoroglu, Selahattin, 1997.
"Stock returns and volatility in emerging financial markets,"
Journal of International Money and Finance,
Elsevier, vol. 16(4), pages 561-579, August.
- Giorgio De Santis & Selahattin Imrohoroglu, 1994. "Stock returns and volatility in emerging financial markets," Discussion Paper / Institute for Empirical Macroeconomics 93, Federal Reserve Bank of Minneapolis.
- Abraham Abraham, 2002. "Testing the Random Walk Behavior and Efficiency of the Gulf Stock Markets," The Financial Review, Eastern Finance Association, vol. 37(3), pages 469-480, 08.
- Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-47, August.
- Claessens, Stijn & Dasgupta, Susmita & Glen, Jack, 1995. "Return Behavior in Emerging Stock Markets," World Bank Economic Review, World Bank Group, vol. 9(1), pages 131-51, January.
- Aktham I. Maghyereh & Haitham A. Al-Zoubi, 2006. "Value-at-risk under extreme values: the relative performance in MENA emerging stock markets," International Journal of Managerial Finance, Emerald Group Publishing, vol. 2(2), pages 154-172, July.
- Kian-Ping Lim, 2009. "Weak-form market efficiency and nonlinearity: evidence from Middle East and African stock indices," Applied Economics Letters, Taylor & Francis Journals, vol. 16(5), pages 519-522.
- Hols, Martien C A B & de Vries, Casper G, 1991. "The Limiting Distribution of Extremal Exchange Rate Returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(3), pages 287-302, July-Sept.
- Pagan, Adrian, 1996. "The econometrics of financial markets," Journal of Empirical Finance, Elsevier, vol. 3(1), pages 15-102, May.
- Chrétien, Stéphane & Coggins, Frank, 2010. "Performance and conservatism of monthly FHS VaR: An international investigation," International Review of Financial Analysis, Elsevier, vol. 19(5), pages 323-333, December.
- Elie I Bouri, 2013. "Correlation and Volatility of the MENA Equity Markets in Turbulent Periods, and Portfolio Implications," Economics Bulletin, AccessEcon, vol. 33(2), pages 1575-1593.
- Mansourfar, Gholamreza & Mohamad, Shamsher & Hassan, Taufiq, 2010. "The behavior of MENA oil and non-oil producing countries in international portfolio optimization," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(4), pages 415-423, November.
- Stavros Degiannakis & Christos Floros & Alexandra Livada, 2012. "Evaluating value-at-risk models before and after the financial crisis of 2008: International evidence," Managerial Finance, Emerald Group Publishing, vol. 38(3), pages 436-452, March.
- Dimitrakopoulos, Dimitris N. & Kavussanos, Manolis G. & Spyrou, Spyros I., 2010. "Value at risk models for volatile emerging markets equity portfolios," The Quarterly Review of Economics and Finance, Elsevier, vol. 50(4), pages 515-526, November.
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