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Pina · 2022年06月27日

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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%

老师好 虽然这题带入% 后算出的是一样的。 为了计算更简单一些,那种情况,计算的时候可以不带入%,然后算出后再加%, 有没有规律?谢谢。

1 个答案
已采纳答案

源_品职助教 · 2022年06月27日

嗨,从没放弃的小努力你好:


这题最后加%,是因为每一个等式相乘的时候,只有一个%参与计算,如果有两个%同时参与乘法运算,那么计算结果就是万分号了。

建议这里自己算的时候全部化为小数点去做,这样不容易出错。不客气。


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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!

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