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sarah_xu · 2021年08月16日

ρi,GM是当作1了嘛

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%

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.

请问这个ρi,GM是当作1了嘛

2 个答案

源_品职助教 · 2021年08月18日

嗨,努力学习的PZer你好:



3.5/8.5 = 0.412这里Susan的是夏普比率,不涉及ρ的问题。

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加油吧,让我们一起遇见更好的自己!

源_品职助教 · 2021年08月17日

嗨,努力学习的PZer你好:


比如, RPHealthcare = (12)(0.7)(0.412) = 3.46%这个式子里,

12代表对的是标准差,0.7代表的是相关系数,0.412代表的是夏普比率,所以没有默认ρ是1

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努力的时光都是限量版,加油!

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