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奔跑的咸鱼 · 2020年12月01日

问一道题:NO.PZ2020012201000004 [ CFA III ]

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。

请问一下。为什么最后两个权重都是0.5,题目没给呀。

2 个答案

源_品职助教 · 2020年12月02日

嗨,爱思考的PZer你好:


抱歉,这里我没有看仔细。

不过答复不矛盾啊,要么题目告诉你权重,如果题目没有告诉你权重,就是对半分。三级CME没有要自己记住非对半分的情况(比如0.6,0.4这种。)


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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 · 2020年12月01日

嗨,从没放弃的小努力你好:


如果题目没有明确说明,那就默认权重是0.5,比如泰勒公式也是这样的。


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


奔跑的咸鱼 · 2020年12月01日

你忽悠我!我刚刚又仔细看了一遍题目,里面写了expansion and recession are equally likely,所以才同权重的。

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