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期权学习笔记二(波动率和Delta)

期权学习笔记二(波动率和Delta)

作者: 光殇 | 来源:发表于2018-12-16 19:57 被阅读0次

    本来觉得期权就是简单的行权被行权,看准了方向然后买卖或者是做个对冲。这两天看了雪球上精大的文章,发现not even close. 还是要先把各个概念弄得清清楚楚来。今天先说一下波动率和delta吧。

    波动率 X(又叫波幅)是说某个期权底下的标的资产在未来有68%的概率落在今天价格的正负X的范围内。(from 精大)

    从tastytrade.com上看到了另一个解释,解释了为啥是68%。

    In simple terms, IV is determined by the current price of option contracts on a particular stock or future. It is represented as a percentage that indicates the annualized expected one standard deviation range for the stock based on the option prices. For example, an IV of 25% on a $200 stock would represent a one standard deviation range of $50 over the next year.

    IV代表了期权价格下的一个标准差单位下,标的的波动百分比。打个比方,一个股票价格为200美金,IV为25%。那么下一年中在一个标准差单位下会波动50美金。

    标准差单位是这样解释的:

    Before diving into how it applies to options trading, it’s important to understand the probabilities associated with certain multiples of standard deviations:

    - 1 standard deviation encompasses approximately 68.2% of outcomes in a distribution of occurrences

    - 2 standard deviations encompasses approximately 95.4% of outcomes in a distribution of occurrences

    - 3 standard deviations encompasses approximately 99.7% of outcomes in a distribution of occurrences

    简单点说就是,1标准差单位是68.2的百分比,2标准差单位是95.4的百分比,3标准差单位是99.7的百分比。

    Delta有两个含义,第一个含义是期权价格对于正股价格变化的敏感度,即正股每变化1块钱,期权价格的变化。比如说一个call的delta为0.3,就是说正股每升1块钱,期权会升0.3元。(from 精大)

    Delta的第二个含义是,该期权到期时被行权的概率。打个比方,某个股票为X时,X+Y的call的delta为0.3,这意味着,市场认为,该期权有30%的概率会被行权。也就是说,该股有30%的机会达到X+Y或者超过X+Y。(from 精大)

    未完待续...

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