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AJI · 2023年10月15日

CAPM中premium计算

NO.PZ2023032701000014

问题如下:

Rae is Using GGM to value Tasty Foods.

Rae notes that the EPS of the company has been increasing at an average rate of 4.48 percent per year. The dividend payout ratio has remained fairly stable of 50%, and an average ROE of 10.6%.

Rae uses the CAPM to compute the return on equity. He uses the annual yield of 4 percent on the 10-year Treasury bond as the risk-free return. He estimates the expected US equity risk premium, with the S&P 500 Index used as a proxy for the market, to be 6.5 percent per year. The estimated beta of Tasty Foods against the S&P 500 Index is 1.10.

The stock’s current price is $8.42

Last year dividend per share is 0.59$/S.

Rae considers a security trading within a band of ±10 percent of his estimate of intrinsic value to be within a “fair value range.” By that criterion, the stock of Tasty Foods is:

选项:

A.

undervalued

B.

fairly valued

C.

Overvalued

解释:

G=ROE*b=10.6%*50%=5.3%

Using CAPM to estimate required rate of return=0.04 + 1.10(0.065) = 0.1115 or 11.15 percent.

Using the Gordon Growth Model,

Rae’s estimate of the intrinsic value is $10.62. So, the band Rae is looking at is $10.62 ± 0.10($10.62), which runs from $10.62 + $1.06 = $11.68 on the upside to $10.62 -$1.06 = $9.56 on the downside. Because $8.42 is below $9.56, Rae would consider Tasty Foods to be undervalued.

“estimates the expected US equity risk premium, with the S&P 500 Index used as a proxy for the market, to be 6.5 percent per year” 该表述中的6.5%为何直接可理解为Rm-Rf 的结果,而非等同于Rm?

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已采纳答案

王园圆_品职助教 · 2023年10月15日

同学你好,这句话是说:“预计 expected US equity risk premium,通过用S&P500指数作为市场的替代(也就是Rm),是6.5%每年”——英语中,两个逗号之间的内容是不重要的,是作为补充说明用的内容,所以把逗号中的部分省去看这句话也完全没有问题——意思就是“risk premium(也就是Rm-Rf)是6.5%”,至于S&P500 收益是多少,其实这里是没有给出任何信息的

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