### Abstract

We study theoretical and empirical aspects of the mean exit time (MET) of financial time series. The theoretical modeling is done within the framework of continuous time random walk. We empirically verify that the mean exit time follows a quadratic scaling law and it has associated a prefactor which is specific to the analyzed stock. We perform a series of statistical tests to determine which kind of correlation are responsible for this specificity. The main contribution is associated with the autocorrelation property of stock returns. We introduce and solve analytically both two-state and three-state Markov chain models. The analytical results obtained with the two-state Markov chain model allows us to obtain a data collapse of the 20 measured MET profiles in a single master curve.

Lingua originale | English |
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pagine (da-a) | 056101-1-056101-10 |

Numero di pagine | 10 |

Rivista | PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS |

Volume | 72 |

Stato di pubblicazione | Published - 2005 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

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## Cita questo

Mantegna, R. N., Lillo, F., Micciche', S., Miccichè, S., Lillo, F., Masoliver, J., Mantegna, R. N., Perelló, J., & Montero, M. (2005). Scaling and data collapse for the mean exit time of asset prices.

*PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS*,*72*, 056101-1-056101-10.