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IanZQ · 2023年05月20日

这题不是问的total expected return

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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

这题不是问的total expected return?为什么解答的方式是用的CURRENCY VALUE CHANGE?啥时候用五分法?

1 个答案

pzqa015 · 2023年05月21日

嗨,爱思考的PZer你好:


这题是可以用五分法的,也就是buy and hold的return是1%+1.5%=2.5%;yield curve rolldown的return是99.0099/96.1169-1+1.5%=4.51%。如果考主观题,这种算法是可以拿满分的。这里对汇率收益的处理,用的是相乘,也是没问题的。原理如下:

RDC=(1+RFC)(1+RFX)-1=Rfc+RFX+RFC*RFX≈RFC+RFX。RFC就是五分法的前四项。

考试中如果碰到客观题,优先用RFC+RFX的方式计算,如果没答案,再用(1+RFC)(1+RFX)-1的方式计算。


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