Question

In: Finance

Inputs Present Value Current stock Price $      62.00 Risk Free 2.5% Beta 1.1 Expected Market Return...

Inputs Present
Value
Current stock Price $      62.00
Risk Free 2.5%
Beta 1.1
Expected Market Return 7.0%
Dividend growth rate 6.0%
Required Rate of Return
PV Dividend
This Year's Dividend This Year $        0.80 Growth
Next Year $        0.92 15%
2 $        1.06 15%
3 $        1.22 15%
Future Stock Price 3 6.0%
Intrinsic Value Intrinsic Value

Solutions

Expert Solution

From the give data,

Required return of the stock can be calculated using CAPM model

Ke = Rf + Beta*(Rm-Rf) = 2.5 + 1.1*(4-2.5) = 7.45%

Next, Future stock value can be calculated using constant dividend growth model

So, future stock price at year 3 = D3*(1+g)/(Ke-g) = 1.22*(1.06)/(0.0745-0.06) = $88.94

Now, PV is calculated using PV = FV/(1+Ke)^t

So, PV of next year stock = 0.92/1.0745 = $0.86

PV of year 2 dividend = 1.06/1.0745^2 = $0.92

PV of year 3 dividend = 1.22/1.0745^3 = $0.98

PV of future stock price at year 3 = 88.94/1.0745^3 = $71.70

So total intrinsic value of stock = 0.86 + 0.92 + 0.98 + 71.70 = $74.45

All the calculation are also solved on excel, and image are attach below:


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