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Кредитный "пузырь" и кризис: модель перколации финансового рынка
Proposed a simple model of stochastic credit bubble that had been growing over the recent years due to global excess liquidity. The latter gave rise to the formation of a random sequence of the debt buyers clusters and initiated simultaneously the widespread practice of loan repayments with the new debt issuance. It had greatly increased positive feedbacks in the global market via structured financial instruments thus speeding up the debt growth. The debt bubble bursts at the critical value of global liquidity, and a nonlinear differential equation serves as a model of this singularity. Percolation process demonstrated how asset securitization and financial innovations might direct global system towards collapse. The model made possible to estimate conditional probability of a collapse that appeared to be equal to 0.27