Olkhov, Victor (2021): To VaR, or Not to VaR, That is the Question.
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Abstract
We consider the core problems of the conventional valueatrisk (VaR) based on the price probability determined by frequencies of trades at a price p during an averaging time interval Δ. To protect investors from risks of market price change, VaR should use price probability determined by the market trade timeseries. To match the market stochasticity we introduce the new marketbased price probability measure entirely determined by probabilities of random market timeseries of the trade value and volume. The distinctions between the marketbased and frequencybased price probabilities result different assessments of VaR and thus can cause excess losses. Predictions of the marketbased price probability at horizon T equals the forecasts of the market trade value and volume probability measures.
Item Type:  MPRA Paper 

Original Title:  To VaR, or Not to VaR, That is the Question 
English Title:  To VaR, or Not to VaR, That is the Question 
Language:  English 
Keywords:  valueatrisk; risk measure; price probability; market trades 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods D  Microeconomics > D4  Market Structure, Pricing, and Design > D46  Value Theory D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty G  Financial Economics > G1  General Financial Markets G  Financial Economics > G1  General Financial Markets > G11  Portfolio Choice ; Investment Decisions G  Financial Economics > G1  General Financial Markets > G12  Asset Pricing ; Trading Volume ; Bond Interest Rates G  Financial Economics > G1  General Financial Markets > G17  Financial Forecasting and Simulation 
Item ID:  110344 
Depositing User:  Victor Olkhov 
Date Deposited:  01 Nov 2021 03:24 
Last Modified:  01 Nov 2021 03:24 
References:  Adrian, T. and M. K. Brunnermeier, (2011). COVAR. NBER, Cambridge, WP 17454, 145 Allen, L., Boudoukh, J. and A. Saunders, (2004). Understanding Market, Credit, And Operational Risk. The Value At Risk Approach. Blackwell Publ., Oxford, UK. 1313 Amato, J.D. and E. M. Remolona, (2005). The Pricing of Unexpected Credit Losses. BIS WP 190. 146 Andersen, T.G., Bollerslev, T., Christoffersen, P.F. and F.X. Diebold, (2005). Volatility Forecasting. CFS WP 2005/08, 1116 Andersen, T.G., Bollerslev, T., Christoffersen, P.F. and F. X. Diebold, (2012). Financial Risk Measurement For Financial Risk Management. NBER, Cambridge, WP 18084, 1130 Aramonte, S., Rodriguez, M.G. and J. J. Wu. (2011). Dynamic Factor ValueatRisk for Large, Heteroskedastic Portfolios. Fin. and Econ. Disc. Ser., Fed.Reserve Board, Washington, D.C. 136 Auer, M. (2018). HandsOn ValueatRisk and Expected Shortfall. A Practical Primer. Springer, 1169 Bennett, C. (2014). Trading Volatility, Correlation, Term Structure and Skew. www.tradingvolatility.com Berkowitz, J. and J. O’Brien, (2001). How Accurate are ValueatRisk Models at Commercial Banks? Fed. Reserve Board, Washington, D.C. 128 Berkowitz, S.A., Dennis E. Logue, D.E. and E. A. Noser, Jr., (1988). The Total Cost of Transactions on the NYSE, The Journal Of Finance, 43, (1), 97112 Black, F. and M. Scholes, (1973). The Pricing of Options and Corporate Liabilities. The Journal of Political Economy. 81, 63765 Brownlees, C., Engle, R. and B. Kelly, (2011). A practical guide to volatility forecasting through calm and storm. The Journal of Risk, 14 (2), 3–22 Buryak, A. and I. Guo, (2014). Effective And Simple VWAP Options Pricing Model, Intern. J. Theor. Applied Finance, 17, (6), 1450036, https://doi.org/10.1142/S0219024914500356 Busseti, E. and S. Boyd, (2015). Volume Weighted Average Price Optimal Execution, 134, arXiv:1509.08503v1 CESR, (2010). CESR’s Guidelines on Risk Measurement and the Calculation of Global Exposure and Counterparty Risk for UCITS. Committee Of European Securities Regulators, 143 Choudhry, M. (2013). An Introduction to ValueatRisk, 5th Edition. Wiley, 1224 CME Group, (2020). www.cmegroup.com/confluence/display/EPICSANDBOX/GovPX+Historical+Data ; www.cmegroup.com/confluence/display/EPICSANDBOX/Standard+and+Poors+500+Futures CreditMetrics™ (1997). Technical Document. J.P. Morgan & Co, NY. 1212 FRS, (1998). Trading and CapitalMarkets Activities Manual. Division of Banking Supervision and Regulation, Board of Governors of the FRS, Washington DC. 1672 Duffie, D. and J. Pan (1997). An Overview of ValueatRisk, J. of Derivatives, 4, (3), 749 Fetter, F.A. (1912). The Definition of Price. The American Economic Rev., 2 (4), 783813 Friedman, D.D. (1990). Price Theory: An Intermediate Text. SouthWest. Publ., 1730 Guéant, O. and G. Royer, (2014). VWAP execution and guaranteed VWAP, SIAM J. Finan. Math., 5(1), 445–471 Hall, R.L. and C.J. Hitch, (1939). Price Theory and Business Behaviour, Oxford Economic Papers, 2. Reprinted in T. Wilson and P. W. S. Andrews (eds.), Oxford Studies in the Price Mechanism (Oxford, 1951) Heston, S.L., (1993). A ClosedForm Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. The Rev. of Fin. Studies. 6 (2), 327343 Holton, G. A. (2002). History of ValueatRisk: 19221998. Working Paper.Contingency Analysis, Boston, MA. 127 Holton, G. A. (2003). ValueatRisk: Theory and Practice, San Diego: Academic Press. 1405 Horcher, K. A., (2015). Essentials of financial risk management. John Wiley&Sons, Inc., New Jersey. 1272 Hull, J.C., (2009). Options, Futures and other Derivatives. 7th.ed. Englewood Cliffs, NJ: PrenticeHall Jondeau, E., Poon, S.H. and M. Rockinger. (2007). Financial Modeling Under NonGaussian Distributions. SpringerVerlag London. 1541 Jorion, P. (2006).Value At Risk: The New Benchmark For Managing Financial Risk. 3d Ed., McGrawHill Kaplanski, G. and Y. Kroll, (2002). VaR Risk Measures versus Traditional Risk Measures: an Analysis and Survey. J of Risk 4, (3),127 Klyatskin, V.I., (2005). Stochastic Equations through the Eye of the Physicist, Elsevier B.V. Klyatskin, V.I., (2015). Stochastic Equations: Theory and Applications in Acoustics, Hydrodynamics,Magnetohydrodynamics, and Radiophysics, v.1, 2, Springer, Switzerland Laubsch, A.J. and A. Ulmer. (1999). Risk Management: A Practical Guide. RiskMetrics Group, NY, 1156 Linsmeier, T.J. and N. D. Pearson, (1996). Risk Measurement: An Introduction to Value at Risk, University of Illinois at UrbanaChampaign, 145 Longerstaey, J. and M. Spencer, (1996). RiskMetrics Technical Document. J.P.Morgan & Reuters, N.Y., Fourth Edition, 1296 Malkiel, B.G., (1981). Risk And Return: A New Look. NBER, Cambridge, WP 700, 145 Manganelli, S. and R. F. Engle, (2001). Value At Risk Models In Finance, European Central Bank WP 75, 141 Marshall, C. and M. Siegel, (1996). Value at Risk: Implementing a Risk Measurement Standard, The Wharton Financial Institutions Center, 134 Merton, R., (1973). Theory of Rational Option Pricing. The Bell Journal of Economic and management Sci. 4, 141183 Mina, J. and J. Y. Xiao, (2001). Return to RiskMetrics: The Evolution of a Standard. RiskMetrics, NY, 1119 Mina, J., (2005). Risk attribution for asset managers. RiskMetrics Journal, 3, (2), 3355 Muth, J.F., (1961). Rational Expectations and the Theory of Price Movements, Econometrica, 29, (3), 315335 Olkhov, V. (2020a). Volatility depend on Market Trades and Macro Theory. SSRN, WPS3674432, 118, https://dx.doi.org/10.2139/ssrn.3674432 Olkhov, V. (2020b). Price, Volatility and the SecondOrder Economic Theory. MPRA, WP103359, 132, https://mpra.ub.unimuenchen.de/103359/ Olkhov, V. (2020c). Classical Option Pricing and Some Steps Further. MPRA, WP105431, 116, https://mpra.ub.unimuenchen.de/105431/ Padungsaksawasdi, C. and R. T. Daigler, (2018). Volume weighted volatility: empirical evidence for a new realized volatility measure, Int. J. Banking, Accounting and Finance, 9, (1), 6187 Poon, SH., and C.W.J. Granger, (2003). Forecasting Volatility in Financial Markets: A Review, J. of Economic Literature, 41, 478–539 Sanders, D. R. and M. R. Manfredo, (1999). Corporate Risk Management and the Role of ValueatRisk. Proc. NCR134 Conf. on Applied Commodity Price Analysis, Forecasting, and Market Risk Management. Chicago, IL. 114 Simons, K.V. (1996). Value at Risk? New Approaches to Risk Management. FRB Boston, New England Economic Rev, Sept., 112 Sinclair, E. (2013). Volatility trading. Wiley & Sons, NJ. Second ed. 1298 Weyl, E.G., (2019). Price Theory. J. Economic Literature, 57, (2), 329–384 Whaley, R.E., (1993). Derivatives on market volatility: hedging tools long overdue. Jour. of Derivatives, 1(1),7184 DOI: https://doi.org/10.3905/jod.1993.407868 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/110344 
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To VaR, or Not to VaR, That is the Question. (deposited 25 Jan 2021 02:51)
 To VaR, or Not to VaR, That is the Question. (deposited 01 Nov 2021 03:24) [Currently Displayed]