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Wal Mart Valuation

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Wal-Mart 2010 Case Study

Dividend in perpetuity

For this model we use this formula :
Expected dividends (D) divided by the investor’s required rate of return (Ke) minus the perpetual dividend growth rate(g).
P = D/(Ke-g)

The case tell us about each of the inputs : the dividend growth, the xpected dividend, and the investor’s required rate of return.
We know that one respected analyst figure out that the constant perpetual dividend growth is g=5.0%. We also know that the consensus annulal Wal-Mart dividend for fiscal year 2011 was D= $1.21
And to calculate the investor’s required rate of return (Ke) we can use the CAPM :
Risk free rate : 3.68%
Beta of Wal-Mart : 0.66
Market risk premium : 5.05%

So the CAPM gives us : Ke= 0.0368+ 0.66*0.0505= 7.013%
So we have P= 1.21/(0.07013-0.05)= $60.11

We know that February 2010 closing price was $53.48 per share so it means that
Wal-Mart is slightly undervalued. So it is a good investment opportunity.

Dividends and a terminal value.

In this method we forecast the futur dividends (which we know assuming the constant perpetual dividend growth is g=5.0%) until the futur stock price P(n). We call this price the terminal value.

The formula is :
P(0)= D(1)/(Ke+1)+D(2)/(Ke+1)^2+….+D(n)/(Ke+1)^n+P(n)/(Ke+1)^n

The further we go in years the bigger become the (Ke+1)^i part of the formula and the smaller become the D(i)/(Ke+1)^i. It tend to be 0.
Let’s say we forecast the dividends for the next 500 years. (we could choose more but the change is irrelevant)
And here we assume that Ke stays the same during to whole peridod.
We find a price per share of $60.1

Like with the first method we notice that the company is undervalued and represent a good investment.

The Three-Stage Approach

For this method we have to make the assumption that r is going to be the same during the 17 years period

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