Olkhov, Victor (2020): Price, Volatility and the Second-Order Economic Theory.
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Abstract
This paper considers price volatility as the reason for description of the second-degree economic variables, trades and expectations aggregated during certain time interval Δ. We call it - the second-order economic theory. The n-th degree products of costs and volumes of trades, performed by economic agents during interval Δ determine price n-th statistical moments. First two price statistical moments define volatility. To model volatility one needs description of the squares of trades aggregated during interval Δ. To describe price probability one needs all n-th statistical moments of price but that is almost impossible. We define squares of agent’s trades and macro expectations those approve the second-degree trades aggregated during interval Δ. We believe that agents perform trades under action of multiple expectations. We derive equations on the second-degree trades and expectations in economic space. As economic space we regard numerical continuous risk grades. Numerical risk grades are discussed at least for 80 years. We propose that econometrics permit accomplish risk assessment for almost all economic agents. Agents risk ratings distribute agents by economic space and define densities of macro second-degree trades and expectations. In the linear approximation we derive mean square price and volatility disturbances as functions of the first and second-degree trades disturbances. In simple approximation numerous expectations and their perturbations can cause small harmonic oscillations of the second-degree trades disturbances and induce harmonic oscillations of price and volatility perturbations.
Item Type: | MPRA Paper |
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Original Title: | Price, Volatility and the Second-Order Economic Theory |
English Title: | Price, Volatility and the Second-Order Economic Theory |
Language: | English |
Keywords: | volatility; economic theory; market trades; expectations; price probability |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General D - Microeconomics > D4 - Market Structure, Pricing, and Design E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates G - Financial Economics > G1 - General Financial Markets G - Financial Economics > G2 - Financial Institutions and Services |
Item ID: | 102767 |
Depositing User: | Victor Olkhov |
Date Deposited: | 09 Sep 2020 15:36 |
Last Modified: | 09 Sep 2020 15:36 |
References: | Andersen, T., Bollerslev, T., Diebold, F.X. and Ebens, H., 2001. The Distribution of Realized Stock Return Volatility, Journal of Financial Economics, 61, 43-76 Andersen, T.G., Bollerslev, T., Christoffersen, P.F. and F.X. Diebold, 2005. Volatility Forecasting, CFS WP 2005/08, 1-116 Avramov, D., Chordia, T., Goyal, A., 2006. The Impact of Trades on Daily Volatility, The Review of Financial Studies, 19, (4), 1241- 1277 Beaver, W. H., Shakespeare, C. and M. T. Soliman, 2006. Differential properties in the ratings of certified versus non-certified bond-rating agencies, Journal of Accounting and Economics 42, 303–334 Belkin, B., Suchower, S. and L. R. Forest, 1998. A one-parameter representation of credit risk and transition matrices. JP Morgan, CreditMetrics® Monitor, 3-d Q, 46-56 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), 97-112 Bernanke, B. and M. Gertler, 1999. Monetary Policy and Asset Price Volatility. FRB of Kansas City, Economic Review, 4Q, 1-36 Blume, L.E., Easley, D., 1984. Rational Expectations Equilibrium: An Alternative Approach. Journal Of Economic Theory, 34, 116-129 Bogousslavsky,V. and P. Collin-Dufresne, 2019. Liquidity, Volume, and Volatility, Swiss Finance Institute, Research Paper Series 19-69, 1-57 Brock, W.A. and B.D. LeBaron, 1995. A Dynamic structural model for stock return volatility and trading volume. NBER WP 4988, 1-46 Brunnermeier, M.K., Parker, J.A., 2005. Optimal Expectations. American Economic Review, 95, (4), 1092-1118 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, 1-34, arXiv:1509.08503v1 Campbell, J.Y., Grossman, S.J., Wang, J., 1993. Trading Volume And Serial Correlation In Stock Returns. The Quarterly Journal of Economics, 905-939 Christiansen, C., Schmeling, M. and A. Schrimpf, 2012. A Comprehensive Look at Financial Volatility Prediction by Economic Variables. BIS WP 374, 1-46 Ciner, C. and W. H. Sackley, 2007. Transactions, volume and volatility: evidence from an emerging market, Applied Financial Economics Letters, 3, 161-164 CME Group, 2020. www.cmegroup.com/confluence/display/EPICSANDBOX/GovPX+Historical+Data ; www.cmegroup.com/confluence/display/EPICSANDBOX/Standard+and+Poors+500+Futures Daly, K., 2008. Financial volatility: Issues and measuring techniques, Physica A 387, 2377–2393 Dominitz, J., Manski, C.F., 2005. Measuring And Interpreting Expectations Of Equity Returns. NBER, WP 11313, Cambridge, MA Durand, D., 1941. Volume Title: Risk Elements in Consumer Instalment Financing, Technical Edition, NBER, http://www.nber.org/books/dura41-1 Engle, R.F. and A.J. Patton, 2001. What good is a volatility model? Quantitative Finance, 1, 237–245 Fama, E.F., 1965. The Behavior of Stock-Market Prices. The Journal of Business, 38, (1), 34-105 Fetter, F.A., 1912. The Definition of Price. The American Economic Review, 2 (4), 783-813 Fitch, 2018. Procedures and Methodologies for Determining Credit Ratings. Fitch Ratings, Inc., Form 25-101F1 Greenwood, R., Shleifer, A., 2014. Expectations of Returns and Expected Returns. The Review of Financial Studies, 27 (3), 714–746 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 Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options, The Rev. Financial Studies, 6, (2), 327-343 Ho, A., et.al., 2017. Asia-Pacific Structured Finance 2016 Transition and Default Study, FitchRatings Structured Finance, 1-14 Ito, T. and W-L.Lin, 1993. Price Volatility And Volume. Spillovers Between The Tokyo And New York Stock Markets, NBER WP 4592, 1-33 Janžek, T., Ziherl, P., 2013. Overview of models and methods for measuring economic agent’s expectations. BIS, IFC Bulletin 36, 172-179. https://www.bis.org/ifc/publ/ifcb36.htm Lucas, R.E., 1972. Expectations and the Neutrality of Money. J. Econ. Theory 4, 103-124 Mankiw, N.G., Romer, D. and M.D. Shapiro, 1991. Stock Market Forecastability and Volatility: A Statistical Appraisal, Rev.Economic Studies, 58,455-477 Manski, C., 2004. Measuring Expectations. Econometrica, 72, 1329-1376 Manski, C.F., 2017. Survey Measurement Of Probabilistic Macroeconomic Expectations: Progress and Promise. NBER, WP 23418 Miloudi, A., Bouattour, M., Benkraiem, R., 2016. Relationships between Trading Volume, Stock Returns and Volatility: Evidence from the French Stock Market, Bankers, Markets & Investors, 144, 1-15 Moody’s, 2010. Rating Symbols and Definitions. Moody’s Investors Service Moody’s, 2018. Procedures and Methodologies Used to Determine Credit Ratings. Moody’s Investors Service Muth, J.F., 1961. Rational Expectations and the Theory of Price Movements, Econometrica, 29, (3) 315-335 Myers, J.H. and E.W. Forgy, 1963. The Development of Numerical Credit Evaluation Systems, Jour. American Statistical Association, 58, 303, 799-806 Olkhov, V., 2016a. On Economic space Notion. Intern. Rev. Financial Analysis, 47, 372–81 Olkhov, V., 2016b. Finance, Risk and Economic space. ACRN Oxford Journal of Finance and Risk Perspectives 5, 209–21 Olkhov, V., 2017a. Quantitative Wave Model of Macro-Finance. Intern. Rev. Financial Analysis 50, 143–50 Olkhov, V., 2017b. Econophysics of Business Cycles: Aggregate Economic Fluctuations, Mean Risks and Mean Square Risks, 1-31, http://arxiv.org/abs/1709.00282 Olkhov, V., 2018. How Macro Transactions Describe the Evolution and Fluctuation of Financial Variables. Intern. Jour. Financial Studies 6, 38, 1-19 Olkhov, V., 2019a. Economic Transactions Govern Business Cycles. ACRN Oxford Journal of Finance and Risk Perspectives 7, 102–122 Olkhov, V., 2019b. Financial Variables, Market Transactions, and Expectations as Functions of Risk. Int. Jour. Financial Stud., 7, 66, 1-27 Olkhov, V., 2020. Volatility depend on Market Trades and Macro Theory. MPRA WP 102434 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), 61-87 Pearce, D.K., 1983. Stock Prices and the Economy. FRB Kansas, Economic Review, 7-22 Poon, S-H., and C.W.J. Granger, 2003. Forecasting Volatility in Financial Markets: A Review, J. of Economic Literature, 41, 478–539 Poon, W.P.H. and J. Shen, 2020. The roles of rating outlooks: the predictor of creditworthiness and the monitor of recovery efforts. Rev.Quant.Finan.Acc., (2020). https://doi.org/10.1007/s11156-019-00868-7 Stigler, G.J., and J.K. Kindahl, 1970. The Dispersion of Price Movements, NBER, 88 - 94 in Ed. Stigler,G.J., and J.K. Kindahl ,The Behavior of Industrial Prices Schuermann, T. and Y. Jafry, 2003. Measurement and Estimation of Credit Migration Matrices, The Wharton Financial Institutions Center, 1-44 Schwert, G.W., 1988. Why Does Stock Market Volatility Change Over Time? NBER WP 2798 S&P, 2014. Guide To Credit Rating Essentials. What are credit ratings and how do they work? McGraw Hill Financial S&P&, 2016. S&P Global Ratings Definitions. S&P Global Ratings S&P, 2018. 2018 Annual Global Corporate Default And Rating Transition Study Takaishi, T., and T. T. Chen, 2017, The relationship between trading volumes, number of transactions, and stock volatility in GARCH models, J. Phys., Conf. Ser. 738 012097, 1-4, doi:10.1088/1742-6596/738/1/012097 Tauchen, G.E. and M. Pitts, 1983, The Price Variability-Volume Relationship On Speculative Markets, Econometrica, 51, (2), 485-505 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/102767 |
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