Abstract
G-30, Basel Committee on Banking Supervision, Bank of International Settlements and most Central Banks across the globe have endorsed Value at Risk (VaR) as a standard for measuring risk . Though VaR is widely accepted as a true measure of risk for the banking industry, it is yet to find enough acceptance in the investment industry. VaR reporting on a periodic basis could help investors in better understanding of risks of loss to their investments. We have tried to review different methods of estimating VaR , and their applications. Many variants of VaR propagated by researchers seem to work in patches. Risk Metrics developed by J. P. Morgan, which uses exponentially weighted moving average (EWMA) method, has become a standard tool for VaR estimation. Till the time another more effective method is developed, VaR is likely to continue attracting a lot of interest.
Wide diversification is only required when investors do not understand what they are doing.
Warren Buffett
Sections of this chapter draw from the author’s previous publication (Srinivasan & Dhankar, 2015), co-authored by R Srinivasan, Professor (Finance& Accounts), Indus Business Academy, Greater Noida, India; re-used here with permission.
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References
Al Janabi, M. A. (2006). Foreign-exchange trading risk management with value at risk: Case analysis of the Moroccan market. The Journal of Risk Finance, 7(3), 273–291.
Alexander, G. J., & Baptista, A. M. (2004). A comparison of VaR and CVaR constraints on portfolio selection with the mean-variance model. Management Science, 50(9), 1261–1273.
Aniūnas, P., Nedzveckas, J., & Krušinskas, R. (2009). Variance—covariance risk value model for currency market. Economics of Engineering Decisions, 1(61), 18–27.
Bali, T. G. (2007). A generalized extreme value approach to financial risk measurement. Journal of Money-Credit and Banking, 39(7), 1613–1649.
Berkowitz, J., & O’Brien, J. (2002), How accurate are value-at-risk models at commercial banks. The Journal of Finance, LVII(3), 1093–1111.
Bhattacharyya, M., & Ritolia, G. (2008). Conditional VaR using EVT—Towards a planned margin scheme. International Review of Financial Analysis, 17(2), 382–395.
Bhattacharyya, M., Chaudhary, A., & Yadav, G. (2008). Conditional VaR estimation using Pearson’s type IV distribution. European Journal of Operational Research, 191(2), 386–397.
Boda, K., & Filar, J. A. (2006). Time consistent dynamic risk measures. Mathematical Operations Research, Issue, 63, 169–186.
Bollerslev, T. (1987). A conditionally heteroskedastic time series model for speculative prices and rates of return. Review Economics and Statistics, 69, 542–547.
Cao, C., Chang, E. C., & Wang, Y. (2008). An empirical analysis of the dynamic relationship between mutual fund flow and market return volatility. Journal of Banking & Finance, 32(10), 2111–2123.
Chang, Y. P., Hung, M. C., & Wu, Y. F. (2003). Nonparametric estimation for risk in value at risk estimator. Communication in Statistics: Simulation and Computation, 32(4), 1041–1064.
Chernozukhov, V., & Umentzev, L. (2001). Conditional value at risk: Aspects of modelling and estimation. Empirical Economics, 26, 271–292.
Cherubini, U., & Giovanni, D. L. (2001). Fuzzy valu-at-risk: Accounting for market liquidity. Economic Notes by Bancadei Paschi di Siena SpA, 30(2), 293–312.
Chiu, Y. C. (2007). Corporate diversification and risk management: Methodological approach. Journal of Financial Management and Analysis, 20(2), 1–6.
Cocozza, R., Lorenzo, E. D., & Sibillo, M. (2007). The current value of the mathematical provision: A financial risk prospect. Problems and Perspectives in Management, 5(2), 127–140.
Crockford, G. (2005). The changing face of risk management, (first published in 1976 in The Geneva Papers). The Geneva Papers, 2005(30), 5–10.
Damodaran, A. (2014). Value at risk (VAR). Retrieved from April 7, 2014, http://people.stern.nyu.edu/adamodar/pdfiles/papers/VAR.pdf,1-33.
Danielsson, J., & Vries, C. G. (2000). Value-at-risk and extreme returns. Annals of Economics and Statistics (Financial Market Microstructure), 60, 239–270.
Deb, S. G., & Banerjee, A. (2009). Downside risk analysis of Indian equity mutual funds: A value at risk approach. International Research Journal of Finance and Economics, Issue, 23, 216–230.
Degen, M., & Embrechts, P. (2008). EVT-based estimation of risk capital and convergence of high quantiles. Advances in Applied Probability, 40(3), 696–715.
Dowd, K., & Blake, D. (2006). After VaR: The theory, estimation, and insurance applications of quantile-based risk measures. The Journal of Risk and Insurance, 73(2), 193–229.
Engle, R. F., & Manganelli, S. (2004). Conditional autoregressive value at risk by regression quantiles. Journal of Business & Economic Statistics, 22(4), 367–381.
Fishman, G. (1996). Monte Carlo concepts, algorithms, and applications. New York: Springer.
Fuh, C. D., & Yang, Y. L. (2007). A bootstrap method to calculate value at risk in emerging markets under stochastic volatility models. Journal of the Chinese Statistical Association, 45, 106–129.
Fung, W., & Hsieh, D. A. (2011). The risk in hedge fund strategies: Theory and evidence from long/short equity hedge funds. Journal of Empirical Finance, 18(4), 547–569.
Fuss, R., Kaiser, D. G., & Adams, Z. (2007). Value at risk, GARCH modelling and the forecasting of hedge fund return volatility. Journal of Derivatives and Hedge Funds, 13(1), 2–25.
Garcia, R., Renault, É., & Tsafack, G. (2007). Proper conditioning for coherent VaR in portfolio management. Management Science, 53(3), 483–494.
Ghaoui, L. E., Oks, M., & Oustry, F. (2003). Worst-case value-at-risk and robust portfolio optimization: A conic programming approach. Operations Research, 51(4), 543–556.
Giot, P. (2005). Implied volatility indexes and daily value at risk models. The Journal of Derivatives, 54–64.
Hendricks, D. (1996). Evaluation of value-at-risk models using historical data. Economic Policy Review, 2(1), 39–70.
Jorion, P. (1996). Risk2: Measuring the risk in value at risk. Financial Analysts Journal, 52(6), 47–56.
Jorion, P. (2002). How informative are value-at-risk disclosures? The Accounting Review, 77, 911–931.
Jorion, P. (2007). Value at risk: The new benchmark for managing financial risk (3rd ed.). New York: The McGraw-Hill Companies Inc.
Kiohos, A., & Dimopoulos, A. (2004). Estimation portfolio VAR with three different methods: Financial institution risk management approach. SPOUDAI, 54(2), 59–83.
Krautkraemer, J. A., Kooten, G. C., & Young, D. L. (1992). Incorporating risk aversion into dynamic programming models. American Journal of Agricultural Economics, 74(4), 870–878.
Krokhmal, P., Palmquist, J., & Uryasev, S. (2002). Portfolio optimization with conditional value at risk objectives and constraints. Journal of Risk, 4, 43–68.
Kupiec, P. (2002). What exactly does credit var measure? Journal of Derivatives, 9(3), 46–59.
Leippold, M. (2004). Don’t rely on VaR. Euro Money, 35(427), 46–49.
Leon, L. M. Y., & Lin, H. W. W. (2004). Estimating value-at-risk via Markov switching ARCH models—An empirical study on stock index returns. Applied Economics Letters, 11, 679–691.
Lewis, N. D., & Okunev, J. (2009). Using value at risk to enhance asset allocation in life-cycle investment funds. Journal of Investing, 18(1), 87–91.
Lin, C.-H., & Shen, S. S. (2006). Can the student-t distribution provide accurate value at risk? Journal of Risk Finance, 7(3), 292–300.
Lin, R., & Chen, Z. (2008). New DEA performance evaluation indices and their applications in the American fund market. Asia-Pacific Journal of Operational Research, 25(4), 421–450.
Markowitz, H. M. (1952). Portfolio selection. Journal of Finance, 7(1), 77–91.
Marshall, C., & Siegel, M. (1997). Value at risk: Implementing a risk measurement standard. Journal of Derivatives, 4(Spring), 91–110.
Mcdonald, C. (2009). ERM Saved Some Firms From Financial Meltdown. National Underwriter—Property & Casualty, pp. 27–29.
Minnich, M. (1998). A primer on value at risk. In F. J. Fabozzi (Ed.), Perspectives on interest rate risk management for money managers and traders (pp. 39–50). New Hope, Pennsylvania, USA: John Wiley & Sons.
Morgan Guaranty Trust Company. (1995). Introduction to risk metrics (4th edn., p. 2), New York: Morgan Guaranty Trust.
Nazarova, S., & Teïletche, J. (2006). VaR hedge funds: A comparison of methods. Banking and Markets, Issue, 84, 61–74.
Nelson, D. (1990). Stationarity and persistence in the GARCH(1,1) model. Econometric Theory, 6, 318–334.
Nelson, D. (1991). Conditional heteroskedasticity in asset return: A new approach. Econometrics, 59, 347–370.
Papadamou, S., & Stephanides, G. (2004). Evaluating the style-based risk model for equity mutual funds investing in Europe. Applied Financial Economics, 14(751–760), 751–760.
Poon, S., & Granger, C. (2003). Forecasting volatility in financial markets: A review. Journal of Economic Literature, 41, 478–639.
Rajesh, P. N. (2009). Selection of value-at-risk model and management of risk using information transmission. ICFAI Journal of Applied Finance, 15(1), 31–42.
Reddy, Y. S., & Rath, S. (2005). Disappearing dividends in emerging markets? Evidence from India, Emerging Markets Finance and Trade, 41(6), 58–82.
Rockafellar, R., & Uryasev, S. (2002). Conditional value at risk for general loss distribution. Journal of Banking & Finance, 26, 1443–1471.
Sadorsky, P. (2005). Stochastic volatility forecasting and risk management. Applied Financial Economics, 15, 121–135.
Srinivasan, R., & Dhankar, R. S. (2015). Value at risk (VaR) models and risk estimation. IPE Journal of Management, 5(2).
Su, E., & Knowles, T. W. (2006). Asian pacific stock market volatility modelling and value at risk analysis. Emerging Markets Finance and Trade, 42(2), 18–62.
Taylor, J. W. (2005). Generating volatility forecasts from value at risk estimates. Management Science, 51(5), 712–725.
Tripathi, V., & Gupta, S. (2008). Estimating the accuracy of value-at-risk in measuring risk in equity investment in India. ICFAI Journal of Applied Finance, 14(7), 15–40.
Tsai, M. Y., & Shih, W. (2007). Selection of principal components in regression analysis by MSE criterion. Journal of the Chinese Statistical Association, 45(2), 207–221.
Wilson, W. W., Nganje, W. E., & Hawes, C. R. (2007). Value-at-risk in bakery procurement. Review of Agricultural Economics, 29(3), 581–595.
Woo, W. H., & Siu, T. K. (2004). A dynamic binomial expansion technique for credit risk measurement: A Bayesian filtering approach. Applied Mathematical Finance, 11, 165–186.
Zhao, Z. (2004). Mutual fund performance evaluation and dynamic portfolio strategy design using value at risk. Journal of Systems Science and Information, 2(4), 695–699.
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Dhankar, R.S. (2019). Value at Risk and Mutual Funds. In: Risk-Return Relationship and Portfolio Management. India Studies in Business and Economics. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3950-5_18
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DOI: https://doi.org/10.1007/978-81-322-3950-5_18
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