Shelley2018-12-20 14:54:09
老师您好,您能解释一下page 31页,我用黄色笔标注的地方吗?谢谢您! In the case of a portfolio consisting of a risky asset and a risk-free asset, the return to a rebalanced portfolio can be replicated by creating a buy-and-hold position in the portfolio, writing out-of- the-money puts and calls on the risky asset, and investing the premiums in risk-free bonds. As the value of puts and calls is positively related to volatility, such a position is called being short volatility (or being short gamma, by reference to the option Greeks).
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Irene2018-12-24 09:39:37
同学你好。
这个就是用call和put来复制rebalance的过程。Rebalance就是说涨到一定的价格,或者跌到一定的价格要买。
那么涨到一定价格要卖,可以用write a call来复制
跌倒一定价格要买,可以用write a put来复制
但是因为write的时候会产生premium,所以这部分premium就用来买risk-free bond了。
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然后因为put 和 call的premium都会随着volatility的上升而上升,所以如果是long方的话,相当于long 波动率,因为会在波动率上升的时候赚钱。而short 方的话,就相当于short波动率
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