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Pricing lookback options on the stocks driven by exponential Ornstein-Uhlenback process

Xiangqun Yang

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Abstract

In this paper,we discuss the problem of pricing call options on a continuous maximum and the options on a continuous minimum of stocks driven by Ornstein-Uhlenback process are discussed.Under the stochastic model of exponential Ornstein-Uhlenback process,the pricing formulas of lookback options with fixed strike prices are obtained by the martingale approaches.

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In this paper,we discuss the problem of pricing call options on a continuous maximum and the options on a continuous minimum of stocks driven by Ornstein-Uhlenback process are discussed.Under the stochastic model of exponential Ornstein-Uhlenback process,the pricing formulas of lookback options with fixed strike prices are obtained by the martingale approaches.

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Available abstract

In this paper,we discuss the problem of pricing call options on a continuous maximum and the options on a continuous minimum of stocks driven by Ornstein-Uhlenback process are discussed.Under the stochastic model of exponential Ornstein-Uhlenback process,the pricing formulas of lookback options with fixed strike prices are obtained by the martingale approaches.

Key concepts: Ornstein–Uhlenbeck process, Exponential function, Martingale (probability theory), Economics, Econometrics, Stochastic process, Process (computing), Financial economics

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