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柠乐 · 2022年03月26日

不明白第一个不对?

NO.PZ2021120102000006

问题如下:

An active fund trader seeks to capitalize on an expected steepening of the current upward-sloping yield curve using option-based fixed-income instruments.

Which of the following portfolio positioning strategies best positions her to gain if her interest rate view is realized?

选项:

A.

Sell a 30-year receiver swaption and a 2-year bond put option.

B.

Purchase a 30-year receiver swaption and a 2-year bond put option.

C.

Purchase a 30-year payer swaption and a 2-year bond call option.

解释:

C is correct.

A steepening of the yield curve involves an increase in the slope, or the difference between long-term and short-term yields-to-maturity. An optimal portfolio positioning strategy is one which combines a short duration exposure to long-term bonds and a long duration exposure to short-term bonds.

Portfolio C involves the right (but not the obligation) to purchase a 2-year bond, which will increase in value as short-term yields fall with the right to pay-fixed on a 30-year swap, which increases in value if long-term yields rise. Portfolio A involves the sale of two options. Although they will expire unexercised in a steeper curve environment, the investor’s return is limited to the two option premia. Portfolio B is the opposite of Portfolio C, positioning the investor for a flattening of the yield curve.

sell receiver swaption是减少duration,sell put option是增加duration,对吗?为什么A 不对
1 个答案

pzqa015 · 2022年03月26日

嗨,努力学习的PZer你好:


sell put option未来要被动买入债券,如果被动行权,可以增加duration,如果Long Option一方不行权,那么sell put option也不会被动买入债券,不会增加duration,所以,sell put option不一定会增加duration。

本题预测收益率曲线steepen,如果是bear steepen,即短期利率也上涨,那么long put option会卖债,sell put option被动买债,会增加duration。如果bull steepen,即短期利率也下降,那么long put option一方不会行权,那么sell put option也不会被动买入债券,就不会增加duration了。

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