Cotter, John and Longin, Francois (2006): Implied correlation from VaR.
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Most of the methods used by financial institutions to implement valueat- risk models are based on the multivariate Gaussian distribution with a constant correlation matrix. In this paper we use VaR calculation in a reverse way to imply the correlation between asset price changes. The distribution of implied correlation under normality is also studied in order to take into account any bias and sampling error. Empirical results for US and UK equity markets show that implied correlation is not constant but tends to be higher for long positions than for short positions. This result is statistically significant and can be interpreted as departure from normality. Our test provides a new way – by focusing the tail dependence - to assess the model risk associated with quantitative methods based on normality in asset management and risk management areas.
|Item Type:||MPRA Paper|
|Institution:||University College Dublin|
|Original Title:||Implied correlation from VaR|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G15 - International Financial Markets
G - Financial Economics > G2 - Financial Institutions and Services > G20 - General
G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions
|Depositing User:||John Cotter|
|Date Deposited:||13. Jun 2007|
|Last Modified:||18. Feb 2013 09:01|
Ang A. and G. Bekaert, 2002, International Asset Allocation with Regime Shifts, Review of Financial Studies, 15, 1137-1187. Boyer B.H., M.S. Gibson and M. Loretan, 1999, Pitfalls in tests for changes in correlations. International Finance Discussion Paper 597, Board of Governors of the Federal Reserve System. Campa J.M. and K. Chang, 1998, The Forecasting Ability of Correlations Implied in Foreign Exchange Options, Journal of International Money and Finance, 17, 117-160. Das S.R. and R. Uppal, 2004, The Effect of Systemic Risk on International Portfolio Choice, Journal of Finance, 59, 2809-2834. Dowd K., 2005, Measuring market risk, 2nd Edition, (John Wiley & Sons, Chichester). Erb C.B., C.R. Harvey and T.E. Viskanta, 1994, Forecasting International Equity Correlations, Financial Analysts Journal, November/December, 32-45. Forbes K. and R. Rigobon, 1998, No Contagion, Only Interdependence: Measuring Stock Market Comovements. Working Paper, MIT. 12 Jorion P., 2000, Value at Risk: The New Benchmark for Controlling Market Risk, 2nd Edition, (McGraw-Hill, Chicago). JP Morgan, 1995, RiskMetricsTM - Technical Document, 3rd Edition (see www.riskmetrics.com for updated research works). Karolyi, G.A., and R.M. Stulz, 1996, Why Do Markets Move Together? An Investigation of U.S.-Japan Stock Return Comovement, Journal of Finance, 51, 951-986. Lin W.L., R.F. Engle and T. Ito, 1994, Do Bulls and Bears Move Across Borders? International Transmission of Stock Returns and Volatility, The Review of Financial Studies 7, 507-538. Longin F.M., 2000, From Value at Risk to Stress Testing: The Extreme Value Approach. Journal of Banking and Finance, 24, 1097-1130. Longin F.M. and B.H. Solnik, 1995, Is the Correlation in International Equity Returns Constant: 1960-1990?, Journal of International Money and Finance, 14, 3-26. Longin F.M. and B.H. Solnik, 2001, Extreme Correlation of International Equity Markets, Journal of Finance, 56, 651-678. Pritsker, M., 2005, The Hidden Dangers of Historical Simulation, Journal of Banking and Finance, Forthcoming. Ramchmand L. and R. Susmel, 1998, Volatility and Cross Correlation Across Major Stock Markets, Journal of Empirical Finance, 5, 397-416.