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biguo · 2024年03月27日

A选项

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.

对于A选项的解释我看得不是太明白。sell receive swaption是相当于buy payer swaption吧?这个其实是可以满足降低长期久期的。但是后面那个put也是降低短期久期的,所以不行,应该搞个增加短期久期的?我想请问一下,sell的情况下要不要考虑对方根据利率变动导致价格的变动,究竟会不会行权呢?

1 个答案

pzqa31 · 2024年03月27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。


A选项sell 30 year receiver swaption,降低长期duration,但是sell 2 year bond put option,未来要被动行权卖债,降低短期duration,错在后半句。要考虑利率的变动,因为首先是要判断到底是在长端还是短端做拉久期还是降久期。

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