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尹梦宁🎃 · 2024年07月06日

请问total expected return计算时,currency gain 什么时候用乘法,什么时候用加法?

* 问题详情,请 查看题干

NO.PZ202303270300006301

问题如下:

(1) 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 roll-down 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.

Since both strategies use zero-coupon bonds, the rolldown return is calculated from expected bond price changes from “rolling down” the THB yield curve, which is assumed to be static.

Buy and hold: 1.00% = (100.00-99.009)/99.009

Yield Curve Rolldown: 3.01% = (99.009-96.1169)/96.116

RFX is 1.5%. 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

印象里有两种计算方法,一种是

currency G/L直接跟其他return加在一起

这个题用的是(1+currency gain)*(1+rolldown return)-1

请问考试用哪种计算?

1 个答案

发亮_品职助教 · 2024年07月07日

加法和乘法都OK。


因为在学expected return收益率的5分解模型时,那里面的题目是其他收益再加currency gain or loss,而原版书正文也给了乘法的公式。



同时这道课后题也用了乘法,这些都是原版书正文和课后题出现过的方法,都可以用作考试的参考,所以考试中加法乘法均可。两个方法算出来的误差都会是在正确答案范围内。


建议可以直接用加法,因为目前碰到的题,收益率Expected return 5分解模型里面都是用的加法哈。