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Ausilio · 2024年05月22日

针对C选项

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NO.PZ202112010200000803

问题如下:

Which of the following statements best describes how the expected total return results would change if THB yields were to rise significantly over the investment horizon?

选项:

A.

Both the Buy-and-Hold and Yield Curve Rolldown expected portfolio returns would increase due to higher THB yields.

B.

Both the Buy-and-Hold and Yield Curve Rolldown expected portfolio returns would decrease due to higher THB yields.

C.

The Buy-and-Hold expected portfolio returns would be unchanged and the Yield Curve Rolldown expected portfolio returns would decrease due to the rise in yields.

解释:

C is correct.

In a higher THB yield scenario in one year, the Yield Curve Rolldown expected return would fall since a higher THB yield-to-maturity in one year would reduce the price at which the investor could sell the 1-year zero in one year.

The Buy-and-Hold portfolio return will be unaffected since the 1-year bond matures at the end of the investment horizon.

老师好,这道题的C选项答案我有点没太理解。

我最开始的理解是泰国货币的收益率上升,这个实际指的是泰国本国无风险利率上升了,因此与债券相关的currency以外的return,会因为债券价值下降而下降;另一方面泰国无风险利率变化会导致他的汇率同步发生变动,因此currency return会上升;二者offset之后return不变。

但是我觉得好像我的理解和答案的解释不太一样,麻烦老师帮忙看一下,然后也想顺便请问下这部分对应的知识点在基础班的哪里。

1 个答案

发亮_品职助教 · 2024年05月23日

嗨,努力学习的PZer你好:


这道题考查的是Buy-and-hold策略和Roll down the yield curve策略的对比,在第3个Learning module yield curve strategies里面Cash-Based Static Yield Strategies这个视频有详细对比。

这道题考查的是分析,较为灵活。


这道题做策略的债券是Zero-coupon bond,投资期限是1年。

Buy-and-hold策略就是投资期与债券的期限一致,即买入一个1年期Zero-coupon bond持有至到期

Roll down the yield curve策略是买入一个2年期的债券投资1年。所以roll down the yield curve策略涉及提前卖出债券变现。

且因为两个策略都是用零息国债,所以不牵扯Coupon再投资的问题。


债券投资就涉及期间Coupon再投资收益,以及期末买卖价差2个收益来源,所以要分析利率改变对这两项的影响。

假设利率上升,理论上讲Coupon的再投资收益上升,但因为是zero-coupon bond做策略,所以没有这一项。

如果要提前卖出债券的话,利率上升,债券的卖出价格下降会有亏损。


但对于Buy-and-hold策略,直接持有债券至到期,投资期1年结束时,债券恰好到期,期末回收的就是债券面值,所以利率改变不影响期末值。于是Buy-and-hold的利率上升不影响期初、期末的价差,且没有coupon,2个收益来源不受影响,所以Buy-and-hold的预期收益Expected portfolio return不改变。


但对于Roll down the yield curve策略,投资期1年结束时,利率上升,期末卖出债券的价格下降,这会导致有一个Capital loss亏损。所以利率上升,Roll down the yield curve策略有亏损,其预期收益expected portfolio return下降。


所以本题本质考的就是:利率改变时,对buy-and-hold策略与Roll down the yield curve策略收益的影响。


另外需要注意的是,本题没有提到汇率改变,所以不要考虑汇率的问题。并且利率与汇率的改变在短期并不一定服从uncovered interest rate parity,汇率的改变波动与利率的改变波动大小不一定能恰好抵消,且短期内利率与汇率的波动方向也不一定可以用理论分析出来,具有较大不确定性。


即便假设利率与汇率的改变大小可以抵消,但本题的投资工具是债券,利率改变时,通过债券的duration会放大亏损or收益,而债券的收益与汇率的变动大小也不一定抵消。

从提问看,这道题分析的时候想的过于复杂,没有提到汇率就不考虑哈。不要过度联想题目没有出现的信息。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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