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Kokonoi Hajime · 2025年07月07日

问问

NO.PZ2023032703000058

问题如下:

An analyst manages an active fixed-income fund that is benchmarked to the Bloomberg Barclays US Treasury Index. This index of US government bonds currently has a modified portfolio duration of 7.25 and an average maturity of 8.5 years. The yield curve is upward-sloping and expected to remain unchanged. Which of the following is the least attractive portfolio positioning strategy in a static curve environment?

选项:

A.

Purchasing a 10-year zero-coupon bond with a yield of 2% and a price of 82.035

B.

Entering a pay-fixed, 30-year USD interest rate swap

C.

Purchasing a 20-year Treasury and financing it in the repo market

解释:

B is correct. The 30-year pay-fixed swap is a short duration position and also results in negative carry (that is, the fixed rate paid would exceed MRR received) in an upward-sloping yield curve environment; therefore, it is the least attractive static curve strategy. In the case of a.), the manager enters a “buy-and- hold” strategy by purchasing the 10-year zero-coupon bond and extends duration, which is equal to 9.80 = 10/1.02 since the Macaulay duration of a zero equals its maturity, and ModDur = MacDur/(1+r) versus 7.25 for the index. Under c.), the manager introduces leverage by purchasing a long-term bond and financing it at a lower short-term repo rate.

1. C选项的原理 2. 为啥B不对,我想着upward sloping yield curve那应该收浮动比较赚钱(已看懂duration解释,我就是想不懂我问的这个点)

1 个答案

李坏_品职助教 · 2025年07月08日

嗨,爱思考的PZer你好:


题目让你选一个最不合适的交易策略(least attractive )。


C意思是利用repo进行融资,就是借钱,借来钱之后 买入20年的长期国债。因为题目说利率曲线是upward,说明短期利率很低,那么用较低的短期利率去融资,借来便宜的资金 再去买长期国债,这个是可以的,这个就类似于我们用便宜资金放大杠杆投资于风险低的债券理财。


B说的是支付固定利率,收取浮动利率。固定利率是跟着市场上30年长期利率走的,比较高。但是浮动利率不是跟着长期走的,他反映的是未来的实时预期,不是反映30年后的利率,所以是较低的。 现在你支付高的固定利率,收取较低的浮动利率,这是不划算的。

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