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Joanne · 2023年05月14日

G= ROE*b

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.

这个公式的理解可以讲一下吗?

1 个答案

王园圆_品职助教 · 2023年05月14日

同学你好,请看以下讲义截图

关于这个公式的相关内容几乎都在这一页了

这个g是在公司进入永续增长阶段以后才有的,此时不仅公司的分红,且公司的earnings,equity都按照g的速度增长

要达到满足 g = ROE *b的公式状态,需要满足的条件有两个,1是公司不新发股票,所有equity的增长都来自于NI的增长;2是公司资本结构保持不变,也就是每年debt都按照equity增长的幅度同比增长从而使公司的资本结构不发生变化


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