Olkhov, Victor (2024): Lower bounds of uncertainty and upper limits on the accuracy of forecasts of macroeconomic variables.
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Abstract
This paper defines theoretical lower bounds of uncertainty of observations of macroeconomic variables that depend on statistical moments and correlations of random values and volumes of market trades. Any econometric assessments of macroeconomic variables have greater uncertainty. We consider macroeconomic variables as random that depend on random values and volumes of trades. To predict random macroeconomic variables, one should forecast their probabilities. Upper limits on the accuracy of the forecasts of probabilities of macroeconomic variables, prices, and returns depend on the number of predicted statistical moments. We consider economic obstacles that limit by the first two the number of predicted statistical moments. The accuracy of any forecasts of probabilities of random macroeconomic variables, prices, returns, and market trades doesn’t exceed the accuracy of Gaussian approximations. Any forecasts of macroeconomic variables have uncertainty higher than one determined by predictions of coefficients of variation of random values and volumes of trades.
Item Type:  MPRA Paper 

Original Title:  Lower bounds of uncertainty and upper limits on the accuracy of forecasts of macroeconomic variables 
English Title:  Lower Bounds of Uncertainty of Observations of Macroeconomic Variables and Upper Limits on the Accuracy of Their Forecasts 
Language:  English 
Keywords:  uncertainty of economic observations; accuracy of forecasts; random macroeconomic variables; market trades; prices and returns 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General C  Mathematical and Quantitative Methods > C8  Data Collection and Data Estimation Methodology ; Computer Programs E  Macroeconomics and Monetary Economics > E0  General E  Macroeconomics and Monetary Economics > E0  General > E01  Measurement and Data on National Income and Product Accounts and Wealth ; Environmental Accounts E  Macroeconomics and Monetary Economics > E2  Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E27  Forecasting and Simulation: Models and Applications E  Macroeconomics and Monetary Economics > E3  Prices, Business Fluctuations, and Cycles > E37  Forecasting and Simulation: Models and Applications G  Financial Economics > G0  General 
Item ID:  122304 
Depositing User:  Victor Olkhov 
Date Deposited:  09 Oct 2024 13:27 
Last Modified:  09 Oct 2024 13:27 
References:  Acemoglu, D., Carvalho, V.M., Ozdaglar, A. and A.TahbazSalehi, (2012). The Network Origins Of Aggregate Fluctuations, Econometrica, 80 (5), 19772016 Barrero, J.M., Bloom, N. and I. Wright, (2017). Short And Long Run Uncertainty, NBER WP23676, 146 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 Bianchi, F., Kung, H. and M. Tirskikh, (2018). The Origins And Effects Of Macroeconomic Uncertainty, NBER WP25386, 156 Bloom, N. (2013). Fluctuations In Uncertainty, NBER WP19714, 129 Borovička, J. and L.P. Hansen, (2016). Term Structure Of Uncertainty In The Macroeconomy, NBER WP22364, 159 Cacciatore, M. and F. Ravenna, (2020). Uncertainty, Wages, And The Business Cycle, NBER WP27951, 137 Cole, R. (1969). Data Errors and Forecasting Accuracy, 4782, in Ed. Mincer, J.A., Economic Forecasts and Expectations: Analysis of Forecasting Behavior and Performance, NBER, Davidson, R. and J.G. MacKinnon, (2004). Econometric Theory and Methods, Oxford Univ. Press, NY, 766 Diebold, F.X. and R.S. Mariano, (1994). Comparing predictive accuracy, NBER TWP 169, 133 Diebold, F.X. (2012). Comparing Predictive Accuracy, Twenty Years Later: A Personal Perspective On The Use And Abuse Of DieboldMariano Tests, NBER, WP 18391, 116 Duffie, D. and P. Dworczak, (2018). Robust Benchmark Design, NBER WP 20540, 156 Fox, D.R., et al. (2019). Concepts and Methods of the U.S. National Income and Product Accounts. BEA, Dep. Commerce, US, Chapters 113, 1 449 Gabaix, X. (2011). The Granular Origins of Aggregate Fluctuations, Econometrica, 79 (3), 733772 Ilut, C.L. and M. Schneider, (2022). Modeling Uncertainty As Ambiguity: A Review, NBER WP 29915, 142 Jurado, K, Ludvigson, S.C. and S. Ng, (2015). Measuring Uncertainty, Am. Ec. Rev., 105, 3, 1177–1216 Hansen, L.P. (2014). Uncertainty Outside And Inside Economic Models, NBER WP 20394, 156 Kumar, S., Gorodnichenko, Y. and O. Coibion, (2022). The Effect Of Macroeconomic Uncertainty On Firm Decisions, NBER WP30288, 171 Markowitz, H. (1952). Portfolio Selection, J. Finance, 7(1), 7791 Mills, T.C and K. Patterson (Ed), (2009). Palgrave Handbook of Econometrics, v.2, Applied Econometrics, Palgrave MacMillan, 1377 p Morgenstern, O. (1950). On the Accuracy of Economic Observations, Princeton Univ., 322 Olkhov, V., (2021). Theoretical Economics and the SecondOrder Economic Theory. What is it?, MPRA WP120536, 113 Olkhov, V. (2022). MarketBased Asset Price Probability, MPRA WP120026, 118 Olkhov, V.(2023a). MarketBased Probability of Stock Returns, MPRA WP120117, 117 Olkhov, V. (2023b). Theoretical Economics as Successive Approximations of Statistical Moments, MPRA WP120763, 117 Olkhov, V. (2023c). Economic Complexity Limits Accuracy of Price Probability Predictions by Gaussian Distributions, MPRA WP120636, 123 Olkhov, V. ( 2024). Volatility Depends on Market Trade and Macro Theory, MPRA WP121221, 116 Reif, M. (2018). Macroeconomic Uncertainty and Forecasting Macroeconomic Aggregates, Leibniz Institute for Economic Research, Univ. Munich, WP 265, 136 Shiryaev, A.N. (1999). Essentials Of Stochastic Finance: Facts, Models, Theory. World Sc. Pub., Singapore. 1852 Shreve, S. E. (2004). Stochastic calculus for finance, Springer finance series, NY, USA Zarnowitz, V. (1967). An Appraisal of ShortTerm Economic Forecasts, NBER, Occasional Paper 104, 1140 Zarnowitz, V. (1978). On The Accuracy And Properties Of Recent Macroeconomic Forecasts, NBER, WP 229, 139 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/122304 
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Lower bounds of uncertainty and upper limits on the accuracy of forecasts of macroeconomic variables. (deposited 09 Aug 2024 10:37)
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