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蕾 · 2024年01月13日

请全题解答

NO.PZ2020012201000004

问题如下:

Noah Sota uses the CAPM to set CME. He estimates that one asset class has a beta of 0.8 in economic expansions and 1.2 in recessions. The expected return on the market is 12% in an expansion and 4% in a recession. The Rf is constant at 2%. Expansion and recession are equally likely.

Calculate the unconditional expected return and the conditional expectedreturns on the asset are

选项:

A.

The conditional expected returns on the asset are 10% in an expansion,and 4.4% in a recession.

B.

The conditional expected returns on the asset are 10% in an recession,and 4.4% in a expansion.

C.

The unconditional expected return is 9.2%

解释:

A is correct

The conditional expected returns on the asset are 10% = 2% + 0.8 × (12% – 2%) in an expansion and 4.4% = 2% + 1.2 × (4% – 2%) in a recession.所以A正确,B不正确。

The unconditional expected return is 7.2% = [(0.5 × 10%) + (0.5 × 4.4%)].所以C选项不正确。

请全题解答

2 个答案
已采纳答案

源_品职助教 · 2024年01月16日

嗨,努力学习的PZer你好:


conditional就是适用于某一特定时期的,比如单求扩张或是收缩阶段,都是conditional

unconditional就是求两者的加权平均。这块概念可以参考讲义P18的例题

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努力的时光都是限量版,加油!

源_品职助教 · 2024年01月15日

嗨,努力学习的PZer你好:


本题正如讲B选项中解释提及的那样,在扩张阶段的收益是10% = 2% + 0.8 × (12% – 2%)

在收缩阶段的收益是 4.4% = 2% + 1.2 × (4% – 2%)

公式的来源就是 CAPM 公式,因为题目说道uses the CAPM,其他部分直接代入题目中给定的数据即可。

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努力的时光都是限量版,加油!

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