Olkhov, Victor (2019): New Essentials of Economic Theory III. Economic Applications.
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Abstract
This paper presents applications of our theory to description of particular economic problems. We give all definitions and equations in Part I and II of our work. Here we argue propagation of small perturbations of economic variables and transactions on economic space. We show that small perturbations may follow wave equations that have parallels to propagation of sound waves and surface waves in fluids. We underline that nature of economic waves is completely different from waves in physical fluids but parallels between them may be useful for their studies. Wave generation, propagation and interactions are the most general properties of any complex system. Descriptions of economic waves on economic space fill existing gap in economic modeling. Usage of economic space allows distribute agents by their risk ratings as coordinates. Agents on economic space cover economic domain bounded by minimum and maximum risk grades. Change of risk ratings of agents due to their economic activity, economic processes or other factors induce flows of economic variables, transactions and expectations. Borders of economic domain cause fluctuations of economic flows and mean risks and these fluctuations describe business cycles. For example fluctuations of credit flows model credit cycles, investment flows model investment cycles and etc. Further we model assets price disturbances as consequences of relations between transactions and expectations. As last economic sample we argue classical Black-Scholes-Merton option pricing model and discuss problems those arise from modeling on economic space.
Item Type: | MPRA Paper |
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Original Title: | New Essentials of Economic Theory III. Economic Applications |
English Title: | New Essentials of Economic Theory III. Economic Applications |
Language: | English |
Keywords: | Economic Theory, Economic Waves, Business Cycles, Assets Pricing, Option pricing |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics C - Mathematical and Quantitative Methods > C5 - Econometric Modeling E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles G - Financial Economics > G0 - General G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates |
Item ID: | 94053 |
Depositing User: | Victor Olkhov |
Date Deposited: | 21 May 2019 15:36 |
Last Modified: | 30 Sep 2019 07:09 |
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 Bates, D.S., (1995). Testing Option Pricing Models, NBER, WP 5129, 1-75 van Binsbergen, J. H., Koijen, R., (2017). The term structure of returns: Facts and theory, NBER WP 21234, Cambridge, MA Black, F. and M. Scholes, (1973). The Pricing of Options and Corporate Liabilities. The Journal of Political Economy, 81, 637-65 Blume, L.E., Easley, D., (1984). Rational Expectations Equilibrium: An Alternative Approach, Journal Of Economic Theory, 34, 116-129 Brock, W.A., Hommes, C.H., (1998). Heterogeneous beliefs and routes to chaos in a simple asset pricing model. Journal of Economic Dynamics and Control, 22, 1235-1274 Brunnermeier, M.K., Parker, J.A., (2005). Optimal Expectations. American Economic Review, 95 (4), 1092-1118 Campbell, J.Y., (1985). Stock Returns and The Term Structure, WP1626, NBER, Cambridge Campbell, J.Y., Cochrane, J.H., (1995). By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior, NBER WP 4995, Cambridge, US Cochrane, J.H., (2001). Asset pricing. Princeton University Press, Princeton, N. Jersey, US Cochrane, J.H., Culp, C.L., (2003). Equilibrium Asset Pricing and Discount Factors: Overview and Implications for Derivatives Valuation and Risk Management. In Modern Risk Management. A History, Ed. S.Jenkins, 57-92 Cochrane, J.H., (2017). Macro-Finance. Review of Finance, European Finance Association, 21(3), 945-985 Cohen, S.N., Tegner, M., (2018). European Option Pricing with Stochastic Volatility models under Parameter Uncertainty. pp. 1-44, arXiv:1807.03882v1 Diebold, F.X. and Rudebusch, G.D. (1999). Business Cycles Durations, Dynamics, and Forecasting. Princeton Univ.Press Dominitz, J., Manski, C.F., (2005). Measuring And Interpreting Expectations Of Equity Returns. NBER, WP 11313, Cambridge, MA Fama, E.F., (1965). The Behavior of Stock-Market Prices. Jour. of Business, 38 (1), 34-105 Fama, E.F., (1998). Market efficiency, long-term returns, and behavioral finance, Journal of Financial Economics 49, 283-306 Fortune, P., (1996). Anomalies in Option Pricing: the Black-Scholes Model Revisited. New England Economic Review, March/April, 17-40 Gabaix, X., Gopikrishnan, P., Plerou, V., Stanley, H,E., (2003). A theory of power-law distributions in financial market fluctuations, Nature, 423, 267-270 Gontis, V., Havlin, S., Kononovicius, A., Podobnik, B., Stanley, H.E., (2016). Stochastic model of financial markets reproducing scaling and memory in volatility return intervals. Physica A, 462, 1091–1102 Greenwald, D.L., Lettau, M., Ludvigson, S., (2014). Origins of Stock Market Fluctuations. NBER, WP 19818, Cambridge, MA Greenwood, R., Shleifer, A., (2014). Expectations of Returns and Expected Returns. The Review of Financial Studies, 27 (3), 714–746 Hansen, L.P., Sargent, T.J., (1979). Formulating and Estimating Dynamic Rational Expectations Models. NBER, WP 127 Hansen, L.P., Heaton, J., Luttmer, E.G.J., (1995). Econometric Evaluation of Asset Pricing Models. Review of Financial Studies, 8, (2), 237-274 Hansen, L. P., (2013). Uncertainty outside and inside economic models. Nobel lecture Heaton, J., Lucas, D., (2000). Stock Prices and Fundamentals, in Ed. Bernanke, B.S., Rotemberg, J.J. NBER Macroeconomics Annual 1999, Volume 14, 213 - 264 Heston, S.L., (1993). A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. The Review of Financial Studies, 6, (2), 327-343 Hull, J., White,A., (1987). The Pricing of Options on Assets with Stochastic Volatilities. Journal of Finance, 17, (2), 281-300 Hull, J.C. (2009). Options, Futures and other Derivatives, 7th.ed. Englewood Cliffs, NJ, Pearson Prentice Hall Jorda, O., Schularick, M., Taylor, A.M., (2016). Macrofinancial History and the New Business Cycle Facts. FRB San Francisco, WP 2016-23 Keim, D.B., Stambaugh, R.F., (1986). Predicting Returns In The Stock And Bond Markets, Journal of Financial Economics, 17, 357-390 Kiyotaki, N., (2011). A Perspective on Modern Business Cycle Theory. Economic Quarterly, 97, (3), 195–208 Kydland, F.E. and Prescott, E.C., (1991). The Econometrics of the General Equilibrium Approach to Business Cycles. Scand. J. of Economics 93(2): 161-178 Lof, M., (2014). Essays on Expectations and the Econometrics of Asset Pricing, MPRA WP 59064, http://mpra.ub.uni-muenchen.de/59064/ Lucas, R.E., (1972). Expectations and the Neutrality of Money. Jour. of Economic Theory 4, 103-124 Lucas, R.E., (1980). Methods and Problems in Business Cycle Theory, Jour.of Money, Credit and Banking, 12, (4) Part 2: Rational Expectations, 696-715 Mandelbrot, B., Fisher, A., Calvet, L., (1997). A Multifractal Model of Asset Returns. Cowles Foundation Discussion Paper #1164 Manski, C.F., (2017). Survey Measurement Of Probabilistic Macroeconomic Expectations: Progress and Promise. NBER Macro Annual Conference, 1-76 Merton, R. (1973). Theory of Rational Option Pricing. The Bell Journal of Economic and management Sci, 4, 141-183 Muth, J.F., (1961). Rational Expectations and the Theory of Price Movements. Econometrica, 29 (3), 315-335 Olkhov, V., (2016a). On Economic space Notion, Int. Rev. Financial Analysis, 47, 372-381 Olkhov, V., (2016b). Finance, Risk and Economic space, ACRN Oxford J. of Finance and Risk Perspectives, Special Issue of Finance Risk and Accounting Perspectives, 5, 209-221 Olkhov, V., (2016c). On Hidden Problems of Option Pricing. https://ssrn.com/abstract=2788108 Olkhov, V., (2017a). Quantitative Wave Model of Macro-Finance. Int. Rev. Financial Analysis, 50, 143-150 Olkhov, V., (2017b). Quantitative Description of Financial Transactions and Risks” ACRN Oxford Journal of Finance and Risk Perspectives 6, (2), 41-54 Olkhov, V., (2017c). Credit-Loans Non-Local Transactions and Surface-Like Waves. https://ssrn.com/abstract=2971417 Olkhov, V., (2017d). Econophysics of Business Cycles: Aggregate Economic Fluctuations, Mean Risks and Mean Square Risks. arxiv.org/abs/1709.00282, q-fin.EC Olkhov, V., (2018). Expectations, Price Fluctuations and Lorenz Attractor. MPRA WP89105, https://mpra.ub.uni-muenchen.de/89105/ Olkhov, V., (2019a). Economic and Financial Transactions Govern Business Cycles. ACRN Oxford Journal of Finance and Risk Perspectives 7, (1/2), 102-122 Olkhov, V., (2019b). Econophysics of asset price, transactions and expectations. http://arxiv.org/abs/1901.05024 Olkhov, V., (2019c). New Essentials of Economic Theory I. Assumptions, Economic Space and Variables. MPRA, WP 93085 Olkhov, V., (2019d). New Essentials of Economic Theory II. Economic Transactions, Expectations and Asset Pricing. MPRA, WP 93428 Plerou, V., Gopikrishnan, P., Amaral, L., Meyer, M., Stanley, H.E., (1999). Scaling of the distribution of price fluctuations of individual companies. Phys. Rev. E, 60 (6), 6519-6529 Sargent, T.J., Wallace, N., (1976). Rational Expectations And The Theory Of Economic Policy, Journal of Monetary Economics 2 (1976) 169-183 Schumpeter, J.A., (1939). Business Cycles. A Theoretical, Historical and Statistical Analysis of the Capitalist Process. NY McGraw-Hill Book Company Stanley, H.E., Pleroua, V., Gabaixb, X., (2008). A statistical physics view of financial fluctuations: Evidence for scaling and universality. Physica A, 387, 3967–3981 Strauss, W.A., (2008). Partial Differential Equations. An Introduction. John Wiley&Sons, NJ, US. p.179 Tinbergen, J., (1935). Annual Survey: Suggestions on Quantitative Business Cycle Theory, Econometrica, 3 (3), 241-308 Zarnowitz, V., (1992). Business Cycles: Theory, History, Indicators, and Forecasting. NBER |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/94053 |