On Two Hypotheses in Economic Analysis of Stochastic Processes

  • Dmitry Aleksandrovich ENDOVITSKY Voronezh State University, Voronezh, Russian Federation
  • Valery Vladimirovich DAVNIS Voronezh State University, Voronezh, Russian Federation
  • Viacheslav Vladimirovich KOROTKIKH Voronezh State University, Voronezh, Russia


Purpose: Development of the apparatus of the stochastic processes econometric modeling. Discussion: The authors identify risk component in the dynamics of stochastic processesin the economy. Theoretical justification of the alternative and proportional expectations is usedto make probabilistic nature of the risk. Results: The authors suggest stochastic process decomposition based on econometric approach to allocate a probability space of risks, and to identify shocks realizations that lie beyond the boundary of this space. Proportional expectations hypothesis distinguished two types of the event influence on the stochastic process realization: continuous (risk) and discrete (shock). The authors suggest model errors and residualsas the main source of information for the identification of the probability space of risks. The technique of econometric modeling of the price and return processes on stock market under theconditions of the proposed hypotheses is considered in the empirical part of the study. F-testresults have not disproved the statement that the model residuals provide additional information about the simulated rate in the case of lack of relevant factors.


[1] Bogdanova, S.Yu. 2010. Option premium risk-neutral and risk-trend estimation. PhD thesis, Voronezh State Univ. Voronezh.
[2] Borisov, A.N., and Ratushnaia, E.A. 2010. Portfolio Decisions on the Basis of Risk-Prediction Estimates of Profitableness of Financial Assets. Modern Economics: Problems and Solutions, 9 (9): 135-146.
[3] Davnis, V.V., and Korotkikh, V.V. 2014. Alternative Expectations Model and its Application in Portfolio Analysis. Modern Economics: Problems and Solutions, 5 (53): 31-46.
[4] Davnis, V.V., Voishcheva, O.S., and Korotkikh, V.V. 2014. Improving Market Risk Estimation in Diagonal Model of Sharpe. Modern Economics: Problems and Solutions, 3 (51): 8-19.
[5] Ito, K. 1944. Stochastic integral. Imperial Academy. Tokyo. Proceedings, 20: 519-524.
[6] Ito, K. 1946. On a stochastic integral equation. Japan Academy. Tokyo. Proceedings, 22: 32-35.
[7] Ito, K. 1951. On stochastic differential equations. Memoirs of the American Mathematical Society, 4: 1-89.
[8] Knight, F. 1921. Risk, Uncertainty, and Profit. Boston: Houghton Miffin Co., pp: 381.
[9] Sharpe, W.F. 1963. A Simplified Model of Portfolio Choice. Management Science, 9 (2): 277-293.
[10] Shiryaev, A.N. 1999. Essentials of Stochastic Finance: Facts, Models, Theory. World Scientific Pub Co Inc., pp: 834.
How to Cite
ENDOVITSKY, Dmitry Aleksandrovich; DAVNIS, Valery Vladimirovich; KOROTKIKH, Viacheslav Vladimirovich. On Two Hypotheses in Economic Analysis of Stochastic Processes. Journal of Advanced Research in Law and Economics, [S.l.], v. 8, n. 8, p. 2391-2398, sep. 2018. ISSN 2068-696X. Available at: <https://journals.aserspublishing.eu/jarle/article/view/2201>. Date accessed: 17 jan. 2022. doi: https://doi.org/10.14505//jarle.v8.8(30).09.