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moon · 2022年07月14日

(Rm-Rf)和β*(Rm-Rf)叫法不一样?一个是risk premium,一个是equity risk premium

NO.PZ2018091901000060

问题如下:

An analyst is reviewing various asset alternatives and is presented with the following information relating to the broad equity market of Switzerland and various industries within the Swiss market that are of particular investment interest.

Assume that the Swiss market is perfectly integrated with the world markets. Swiss Healthcare has a correlation of 0.7 with the GIM portfolio.

Swiss Watch has a correlation of 0.8 with the GIM portfolio.

Swiss Consumer Products has a correlation of 0.8 with the GIM portfolio.

A Basing your answers only upon the data presented in the table above and using the international capital asset pricing model—in particular, the Singer–Terhaar approach—estimate the expected risk premium for the following:

i. Swiss Health Care Industry

ii. Swiss Watch Industry

iii. Swiss Consumer Products Industry

选项:

A.

A. 3.46% for Health Care Industry,1.98% for Swiss Watch Industry, and 2.47% for Consumer Products Industry

B.

B. 1.98% for Health Care Industry,3.46% for Swiss Watch Industry, and 2.47% for Consumer Products Industry

C.

C. 2.47% for Health Care Industry,1.98% for Swiss Watch Industry, and 3.46% for Consumer Products Industry

解释:

A is correct.

Using the formula RPiG=ρi,GM σi(RPGMGM),we can solve for each expected industry risk premium. The term in brackets is the Sharpe ratio for the GIM, computed as 3.5/8.5 = 0.412.

i. RPHealthcare = (12)(0.7)(0.412) = 3.46%

ii. RPWatch = (6)(0.8)(0.412) = 1.98%

iii. RPConsumer Products = (7.5)(0.8)(0.412) = 2.47%

解析:

注意到本题假设市场完全整合,所以我们无需再按权重求解市场整合程度。并且该题不涉及对于资产流动性的补偿。因此我们直接套用公式RPiG=ρi,GM σi(RPGM/σGM),其中Sharpe ratio =3.5/8.5 =0.412.

那么,

i. RPHealth Care = (12)(0.7)(0.412) = 3.46%

ii. RPWatch = (6)(0.8)(0.412) = 1.98%

iii. RPConsumer Products = (7.5)(0.8)(0.412) = 2.47%

记得之前学过


(Rm-Rf)和β*(Rm-Rf)叫法不一样?一个是risk premium,一个是equity risk premium

1 个答案

源_品职助教 · 2022年07月14日

嗨,爱思考的PZer你好:


在CME学科中,原版书教材并没有刻意区别这两者的叫法。

这里更多是出自于笔者的习惯。

只要按照公式去做,也不会影响解题。

本学科中,不会以这两者叫法不同为考点,并以此为难考生。

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努力的时光都是限量版,加油!

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