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尼罗河船长 · 2022年01月12日

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NO.PZ2021120102000006

问题如下:

An active fund trader seeks to capitalize on anexpected steepening of the current upward-sloping yield curve usingoption-based fixed-income instruments.

Which of the following portfoliopositioning strategies best positions her to gain if her interest rateview is realized?

选项:

A.

Sell a 30-yearreceiver 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 anincrease in the slope, or the differencebetween long-term and short-term yields-to-maturity. An optimal portfoliopositioning strategy is one which combines a short duration exposure tolong-term bonds and a long duration exposure to short-term bonds.

Portfolio C involves the right (but not theobligation) to purchase a 2-year bond, which willincrease in value as short-term yields fall with the right to pay-fixed on a30-year swap, which increases in value if long-term yields rise. Portfolio A involvesthe sale of two options. Although they will expire unexercised in a steepercurve environment, the investor’s return is limited to the two option premia.Portfolio B is the opposite of Portfolio C, positioning the investor for aflattening of the yield curve.

不明白为什么选这个答案

1 个答案

pzqa015 · 2022年01月12日

嗨,爱思考的PZer你好:


基金经理预期yield curve变动steepen,也就是长短期的期限spread变大,有三种情况,一是长期利率与短期利率都上涨,但长期利率上涨幅度大于短期利率,二是长期利率与短期利率都下跌,但短期利率比长期利率下降的多,三是长期利率上涨,短期利率下跌。

无论是哪种情况发生,都是短期利率相对长期利率下降,长期利率相对短期利率上升,要想获利的话,都应该增加短期的duration,降低长期的duration。

改变duration可以用cash based approach,也可以用derivative based approach,题目三个选项都是swaption以及option,所以是derivated based approach。

buy receiver swaption以及sell payer swaption增加duration,buy payer swaption和sell receiver swaption降低duration,所以,如果降低30年期的duration,要sell 30年 receiver swaption或者buy 30年的payer swaption,排除B。

C选项投资者buy 2年期债券的call option,有权买入债券,A选项buy 2年期put option,有权卖出债券,所以,从增加duration的角度,应该选择有买入债券的权利,故选C。

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