Volatility Effects on the Escape Time in Financial Market Models

Details Volatility Effects on the Escape Time in Financial Market Models Volatility Effects on the Escape Time in Financial Market Models

2008-10-08

arxiv.org/abs/0810.1625v1

Intern. Journ. of Bifurcation and Chaos, Vol. 18, No. 9, 2775 - 2786 (2008)

Economy

Quantitative Finance

Statistical Finance

12 pages, 9 figures, to appear in Int. J. of Bifurcation and Chaos, 2008

Scientific paper

We shortly review the statistical properties of the escape times, or hitting times, for stock price returns by using different models which describe the stock market evolution. We compare the probability function (PF) of these escape times with that obtained from real market data. Afterwards we analyze in detail the effect both of noise and different initial conditions on the escape time in a market model with stochastic volatility and a cubic nonlinearity. For this model we compare the PF of the stock price returns, the PF of the volatility and the return correlation with the same statistical characteristics obtained from real market data.

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