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罗Luo · 2022年04月19日

Expected return中,为何不含yield income?

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NO.PZ202112010200000802

问题如下:

The total expected return over the 1-year investment horizon for the Buy-and-Hold and Yield Curve Rolldown portfolios are closest to:

选项:

A.

2.515% for the Buy-and-Hold portfolio and 4.555% for the Yield Curve rolldown portfolio, respectively.

B.

2.42% for the Buy-and-Hold portfolio and 4.51% for the Yield Curve Rolldown portfolio, respectively.

C.

2.491% for the Buy-and-Hold portfolio and 3.59% for the Yield Curve Rolldown portfolio, respectively.

解释:

A is correct. Under a static yield curve assumption, expected returns are equal to rolldown return plus changes in currency over the investment horizon.

Expected returns are:

Buy and Hold: E(R) = 2.515%, or (1.01 × 1.015) – 1

Yield Curve Rolldown: E(R) = 4.555%, or (1.0301 × 1.015) - 1

Expected return中,为何只含rolldown return,而不含yield income?

1 个答案

lynn_品职助教 · 2022年04月20日

嗨,从没放弃的小努力你好:


同学你上传的题目图片没有显示,我尝试回答一下。

在预期收益率曲线不变的条件下,零息债券的E(r)等于 rolldown return加汇率影响。


期初买入价格P0=100/(1+2%)^2=96.1169

 

1年后卖出价格P1=100/(1+1%)=99.0099

 

2年后到期拿到100元。

 

riding the yield curve:96.1169*(1+r)=99.0099,r=3.01%

 

汇率:1.5%

 

E(R) = (1.0301 × 1.015) - 1

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