A Dynamical Model for Forecasting Operational Losses

Details A Dynamical Model for Forecasting Operational Losses A Dynamical Model for Forecasting Operational Losses

2010-06-30

arxiv.org/abs/1007.0026v6

Physica A 391 (2012), pp. 2641-2655

Economy

Quantitative Finance

Risk Management

30 pages, 3 figures, 2 tables

Scientific paper

10.1016/j.physa.2011.12.046

A novel dynamical model for the study of operational risk in banks and suitable for the calculation of the Value at Risk (VaR) is proposed. The equation of motion takes into account the interactions among different bank's processes, the spontaneous generation of losses via a noise term and the efforts made by the bank to avoid their occurrence. Since the model is very general, it can be tailored on the internal organizational structure of a specific bank by estimating some of its parameters from historical operational losses. The model is exactly solved in the case in which there are no causal loops in the matrix of couplings and it is shown how the solution can be exploited to estimate also the parameters of the noise. The forecasting power of the model is investigated by using a fraction $f$ of simulated data to estimate the parameters, showing that for $f = 0.75$ the VaR can be forecast with an error $\simeq 10^{-3}$.

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