### Abstract

In general, the pricing problems of exotic options in finance do not have analytic solutions under stochastic volatility and so it is hard to compute the option prices or at least it requires much of time to compute them. This paper investigates a semi-analytic pricing method for lookback options in a general stochastic volatility framework. The resultant formula is well connected to the Black-Scholes price that is the first term of a series expansion, which makes computing the option prices relatively efficient. Further, a convergence condition for the expansion is provided with an error bound.

Original language | English |
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Pages (from-to) | 2537-2543 |

Number of pages | 7 |

Journal | Statistics and Probability Letters |

Volume | 83 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2013 Nov 1 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Statistics, Probability and Uncertainty