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今天也要来一杯 · 2020年07月06日

问一道题:NO.PZ2019103001000054

问题如下:

Abram and Edgarton recently attended an investment committee meeting where interest rate expectations for the next 12 months were discussed. The Fund’s mandate allows its duration to fluctuate ±0.30 per year from the benchmark duration. The Fund’s duration is currently equal to its benchmark. Although the Fund is presently invested entirely in annual coupon
sovereign bonds, its investment policy also allows investments in mortgage-backed securities (MBS) and call options on government bond futures. The Fund’s current holdings of on-the-run bonds are presented in Exhibit 1

Abram’s supervisor disagrees with Abram’s yield curve outlook. The supervisor develops two alternative portfolio scenarios based on her own yield curve outlook:

Scenario 1:Sell all bonds in the Fund except the 2-year and 30-year bonds, and increase positions in these two bonds while keeping duration neutral to the benchmark.

Scenario 2:Construct a condor to benefit from less curvature in the 5-year to 10-year area of the yield curve. The condor will utilize the same 1-year, 5-year, 10-year, and 30-year bonds held in the Fund. The maximum allowable position in the 30-year bond in the condor is $17 million, and the bonds must have equal (absolute value) money duration.

The yield curve expectation that Abram’s supervisor targets with Scenario 1 is most likely a:

选项:

A.

flattening yield curve

B.

reduction in yield curve curvature.

C.

100 bps parallel shift downward of the yield curve

解释:

A is correct.

Scenario 1 is an extreme barbell and is typically used when the yield curve flattens. In this case, the 30-year bond has larger price gains because of its longer duration and higher convexity relative to other maturities. If the yield curve flattens through rising short-term interest rates, portfolio losses are limited by the lower price sensitivity to the change in yields at the short end of the curve while the benchmark’s middle securities will perform poorly.

请问选项B中的reduction in yield curve curvature.指的是'(st yield+lt yield)-2*mt yield' 下降么?

如果是这样的话,选B也满足要求啊

2 个答案

发亮_品职助教 · 2021年03月29日

嗨,爱思考的PZer你好:


your explanation seems to prove B is correct... because B says the curvature is reduced.


如果说是Curvature下降的话,即,中期利率相对下降,短期、长期利率相对上升;对应的策略应该是买入中期债券,卖出短期、长期债券。

因为可以享受到中期债券价格上升带来的Capital gain。


如果要选B选项,那题干应该这么描述:


Sell all bonds in the Fund except the 5-year and 10-year bonds, and increase positions in these two bonds while keeping duration neutral to the benchmark.


题干这样描述的话,就是卖出了短期、长期债券,买入了大量的中期债券;在Curvature reduction时,可以享受中期债券价格上升带来的好处。


但是,这道题的题干告诉我们,他是卖出了其他所有期限的债券,只保留了短期、长期债券,这样大概是想享受长期债券价格上升带来的好处,否则就不会集中大量权重在长期。


那当长期利率有下降时,本题题干大量买入长期债券的策略会有收益。所以这道题直接选A。Flattening yield curve时,长期利率相对下降,本题的策略有收益。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

WallE_品职答疑助手 · 2020年07月07日

这种问题还是不要用公式,而是用图来理解,详见基础班讲义。

凸度变少(短,长期上升,中期变短),你也知道,收益率下降会带来债券价格上升,而情景一是保留了长短期,而卖出了其它期限(包括中期)这种收益率下降而带来收益的部分。

所以显然B选项是和情景1不符合的。

qyang · 2021年03月28日

your explanation seems to prove B is correct... because B says the curvature is reduced.