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海歌 · 2023年10月15日

请简单介绍一下capm的结果在实务中的用处。

NO.PZ2015121802000041

问题如下:

A stock with beta of 1.5 is selling for $20 and pay $1 dividend at year end, if the price should be $21 at year end. The stock is undervalued or overvalued? Assuming the risk-free rate is 5%, expected market premium is 5%.

选项:

A.

The stock is underpriced, investor should buy it.

B.

The sotck is overvalued, investor should short it.

C.

The sotck is undervalued, investor should short it.

解释:

B is correct.

Expected return on CAPM = 5 + 1.5 * 5= 12.5%

Estimated return on stock = (21 - 20 + 1) / 20 = 10%

The estimated return is less than expected return on CAPM, indicating that the stock is overvalued, investor should short it.

我之前理解capm模型计算出来的结果是一个预期收益,比如这个数是20%,那代表这支股票预期有20%的收益;

但实际上这支股票只上涨了10%, 那么我会认为,该股还有10%的上涨空间,所以应该继续持有(换句话说就是该股股价被低估了)。

当然从答案我知道这种理解是错的,那么capm正确的理解和用法是什么呢?

海歌 · 2023年10月15日

突然发现没那什么不好理解的。 比如 英伟达市价500块, 但用capm模型算出来只有450块, 就说明英伟达高估了,该股有50块的下跌空间,应该卖掉。 反之一样。

1 个答案

Kiko_品职助教 · 2023年10月16日

嗨,从没放弃的小努力你好:


CAPM计算出来的结果是合理预期收益率,比如是20%,而实际上这只股票根据市场情况估算出来只有10%的收益率,所以是被高估的,应该卖掉。这个是从收益率这个角度理解,你下面说的,是从价格上面理解,都可以。

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