Munich Personal RePEc Archive

Finance, risk and economic space

Olkhov, Victor (2016): Finance, risk and economic space. Published in: ACRN Oxford Journal of Finance and Risk Perspectives , Vol. 5, No. 1 (March 2016): pp. 209-221.


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This paper presents new approach to financial modeling and forecasting that is based on economic space notion. Economic space is defined as generalization of risk ratings and allows boost methods and description of financial processes. Risk ratings of economic agents are treated as coordinates of economic agents on economic space. Economic and financial variables of separate economic agents determine macroeconomic and financial variables as functions of time and coordinates on economic space. That permits describe financial relations similar to mathematical physics equations. Financial models can be described on discreet and continuous economic spaces with dimension determined by number of major risks measured simultaneously. To show advantages of economic space usage to financial modeling we present extension of Black-Scholes-Merton equation on n-dimensional economic space; develop macroeconomic models on economic space in a way similar to hydrodynamics and derive financial wave equations.

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