The last dividend payment of a stock was $0.80 and this dividend is expected to grow at 6% per year for three years. After that, the dividend will grow at 3% indefinitely. Using the two-stage dividend growth model, what is the correct formula for B6 if the required rate of return on this stock is 15%?
A | B | |
1 | Last Dividend | $0.80 |
2 | Required Return | 15% |
3 | Growth Rate 1 | 6% |
4 | Growth Rate 2 | 3% |
5 | Growth Rate 1 Time | 3 |
6 | Intrinsic Value | 7.42 |
Group of answer choices
=B1/(B2-B3)*(1+((1+B3)/(1+B2))^B5)+(B1*(1+B3)^B5*(1+B4)/(B2-B4)/(1+B2)^B5)
=B1*(1+B3)/(B2-B3)*(1-((1+B2)/(1+B3))^B5)+(B1*(1+B4)^B5*(1+B3)/(B2-B3)/(1+B2)^B5)
=B1*(1+B3)/B2-B3*1-(1+B3)/(1+B2)^B5+B1*(1+B3)^B5*(1+B4)/(B2-B4)/(1+B2)^B5
=B1*(1+B3)/(B2-B3)*(1-((1+B3)/(1+B2))^B5)+(B1*(1+B3)^B5*(1+B4)/(B2-B4)/(1+B2)^B5)
=B1*(1-B3)/(B2+B3)*(1+((1-B3)/(1-B2))^B5)-(B1*(1-B3)^B5*(1-B4)/(B2+B4)/(1-B2)^B5)
Given that,
Last dividend paid D0 = $0.8
required rate of return r = 15%
growth rate for 3 years g1 = 6%
Thereafter growth rate g2 = 3%
So, using 2-stage dividend growth model, intrinsic value is calculated as
P0 = D0*(1+g1)/(1+r) + D0*((1+g1)^2)/(1+r)^2 + D0*((1+g1)^3)/(1+r)^3 + D0*((1+g1)^3)*(1+g2)/((r-g2)*(1+r)^3)
=> P0 = (D0*(1+g)/(1+r))*(1 - ((1+g)/(1+r))^3) + D0*((1+g1)^3)*(1+g2)/((r-g2)*(1+r)^3)
So, Formula in cell B6 =B1*(1+B3)/(B2-B3)*(1-((1+B3)/(1+B2))^B5)+(B1*(1+B3)^B5*(1+B4)/(B2-B4)/(1+B2)^B5)
Hence option D is correct.
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