### Abstract

By investigating currency futures options, this paper provides an alternative economic implication for the result reported by Stein [Overreactions in the options market, Journal of Finance 44 (1989) 1011-1023] that long-maturity options tend to overreact to changes in the implied volatility of short-maturity options. When a GARCH process is assumed for exchange rates, a continuous-time relationship is developed. We provide evidence that implied volatilities may not be the simple average of future expected volatilities. By comparing the term-structure relationship of implied volatilities with the process of the underlying exchange rates, we find that long-maturity options are more consistent with the exchange rates process. In sum, short-maturity options overreact to the dynamics of underlying assets rather than long-maturity options overreacting to short-maturity options.

Original language | English |
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Pages (from-to) | 773-782 |

Number of pages | 10 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 374 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2007 Feb 1 |

### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Condensed Matter Physics