努同学2026-01-20 08:45:35
原版书上这句话看不懂,allows volatility sellers to sell variance swaps at a higher price than at-the-money options,这个跟atm option有什么关联?A feature of variance swaps that makes them particularly interesting to investors is that their payoffs are convex in volatility, as seen Exhibit 4. This convexity occurs because being long a variance swap is equivalent to be long a basket of options and short the underlying asset (typically by selling a futures contract). A long position in a variance swap is thus long gamma and has a convex payoff. This characteristic allows volatility sellers to sell variance swaps at a higher price than at-the-money options because the swap’s convex payoff profile is attractive to investors who desire a long volatility position as a tail risk hedge.
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Simon2026-01-20 18:13:37
核心是卖方利用了方差互换的“凸性”这个高级功能来获得更高的定价权。
因为方差互换的收益具有凸性,这使它成为一个非常有吸引力的产品。投资者(买方)为了获得这种凸性,愿意支付比用一篮子平价期权“自己动手”复制一个类似头寸更高的价格。因此,卖方就能以这个“更高的价格”卖出。
variance swap 的pay off具有正凸性,见截图
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