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Growing Real Fast Company (GRF) is expected to have a 25 percent growth rate for the...

Growing Real Fast Company (GRF) is expected to have a 25 percent growth rate for the next four years (effecting D1, D2, D3, and D4). Beginning in year five, the growth rate is expected to drop to 7 percent per year and last indefinitely. If GRF just paid a $2.00 dividend and the appropriate discount rate is 15 percent, then what is the value of a share of GRE?

SOLUTION Excel

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Expert Solution

We will be using the dividend discount model to arrive at the instrinsic value of GRE
The instrinsic value of equity is equal to the present value of the dividends expected from the company
Following information is provided :
Dividend paid $2
Calculation of dividend expected
Year Growth rate Dividend Amt (formula) Dividend Amt.
1 25% =2*(1+0.25) 2.50
2 25% =D256*(1+C257) 3.13
3 25% =D257*(1+C258) 3.91
4 25% =D258*(1+C259) 4.88
5 7% =D259*(1+C260) 5.22
The growth rate will be 7% thereafter indifintely
Hence, the Terminal Value (TV) in year 5 = Dividend expected next year/ (Discount rate - growth rate)
=(5.22*1.07)/(0.15-0.07)
69.82
Calculation of equity of the company
We will discount all the dividends and the terminal value by 15% to arrive at the present value, which will be the intrinsic value of equity
Year Dividend/TV DF @ 15% (formula) DF @ 15% PV = Dividend & TV * DF
1 2.50 =1/(1.15)^1 0.870 2.174
2 3.13 =1/(1.15)^2 0.756 2.363
3 3.91 =1/(1.15)^3 0.658 2.568
4 4.88 =1/(1.15)^4 0.572 2.792
5 5.22 =1/(1.15)^5 0.497 2.598
5 69.82 =1/(1.15)^5 0.497 34.713

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