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tomatocall · 2025年06月11日

NO.2018122701000048

其它问题 请问下这个gamma neutral是怎么看出来的,不大明白
1 个答案

pzqa39 · 2025年06月11日

嗨,努力学习的PZer你好:


深度实值看涨期权(deep in-the-money call)

  • delta ≈ 1(标的涨 1 元,期权价格几乎涨 1 元,接近标的本身)。
  • gamma ≈ 0:因期权接近 “标的等价物”,价格与标的呈线性关系(曲线平直,曲率极小)。

深度虚值看涨期权(deep out-of-the-money call)

  • delta ≈ 0(标的涨 1 元,期权价格几乎不变,接近无价值)。
  • gamma ≈ 0:期权离行权价极远,价格对标的变动极不敏感(曲线接近水平线,曲率极小)。

远期合约(forward contracts)

  • delta = 1(标的涨 1 元,远期价值涨 1 元,线性关系)。
  • gamma = 0:远期价值与标的价格严格线性相关,无曲率(直线关系,gamma 恒为 0)。


组合总 gamma = Σ(单个资产 gamma × 数量)

  • 10,000 份深度实值期权:gamma ≈ 0 → 总贡献 = 0
  • 50,000 份深度虚值期权:gamma ≈ 0 → 总贡献 = 0
  • 20,000 份远期合约:gamma = 0 → 总贡献 = 0

组合总 gamma ≈ 0,即 gamma 中性


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