Delta-Hedging and Variance Swap Replication

Frido Rolloos
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Abstract

Papers treating variance swap replication often mention that the replicating portfolio consists of a static position in an appropriately weighted continuous strip of options, and a dynamic position in the underlying asset that can be regarded as the delta-hedge of the strip of options. Most papers, however, do not explicate the impact of delta-hedging the options, and in particular do not mention what volatility to use when delta-hedging the options. Although no new results are derived, in this educational note we clarify the aforementioned two points.
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delta套期保值和方差互换复制
研究方差掉期复制的论文经常提到,复制的投资组合包括在适当加权的连续期权条中的静态头寸,以及在标的资产中的动态头寸,后者可以被视为期权条的delta对冲。然而,大多数论文并没有解释delta套期保值期权的影响,特别是没有提到在delta套期保值期权时应该使用什么波动率。虽然没有得出新的结果,但在本教育说明中,我们澄清了上述两点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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