A Parsimonious Model for Intraday European Option Pricing

E. Scalas, M. Politi
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引用次数: 5

Abstract

A stochastic model for pure-jump diffusion (the compound renewal process) can be used as a zero-order approximation and as a phenomenological description of tick-by-tick price fluctuations. This leads to an exact and explicit general formula for the martingale price of a European call option. A complete derivation of this result is presented by means of elementary probabilistic tools.
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日内欧式期权定价的简约模型
纯跃扩散(复合更新过程)的随机模型可以用作零阶近似和逐点价格波动的现象学描述。这就得到了欧式看涨期权鞅价格的一个精确而明确的通用公式。用初等概率工具给出了这个结果的完整推导。
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