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Feeling · 2022年08月21日

请问老师

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%

3.5%的risk premium为什么是excess return(active return),可以用来算SR?为什么完全融合市场的degree of integration是1?12%是直接代入12来算,那什么时候代入百分号算,什么时候不带百分号算?

3 个答案
已采纳答案

源_品职助教 · 2022年08月22日

嗨,爱思考的PZer你好:


1.risk premium是OVERALL GLOBAL INVESTBALE MAARKET的,也就是超过可投资市场组合的部分。

这就是夏普比率分子的定义,所以可以直接使用。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

源_品职助教 · 2022年08月22日

嗨,爱思考的PZer你好:



3.这里本质上并不存在代入不代入的问题。

虽然公式计算里写的是12,(暂时放大了100倍),但是题目结果又加了百分号,所以缩小100倍。

所以计算结果是准确的(因为结果加上了百分号的关系)。

建议同学自己算的时候就用0.12代入计算。得到结果既是正确结果,这样算不容易错。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

源_品职助教 · 2022年08月22日

嗨,爱思考的PZer你好:



2.degree of integration指的是融合程度,完全融合就是最大程度的融合。

所以假设成了一个最大的数值,就是1,这里就是一个假设。

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加油吧,让我们一起遇见更好的自己!

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