In: Finance
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This question is based on multiple period dividend discount model.
The company paid last dividend of $2.15. This is D0
g is the growth rate
Re is the required rate of return
Calculation of D1 or dividend for year 1
The growth rate for first two years is 26%
= D0 * (1+g)
= $2.15 * (1 + 0.26)
= $2.15 * 1.26
= $2.709
Calculation of D2 or dividend for year 2
= D1 * (1+g)
= $2.709 * (1 + 0.26)
= $2.709 * 1.26
= $3.413
Calculation of D3 or dividend for year 3
Now the growth rate is 20%
= D2 * (1+0.20)
= $3.413 * (1 + 0.20)
= $3.413 * 1.20
= $4.096
Calculation of D4 or dividend for year 4
= D3 * (1+0.20)
= $4.096 * (1 + 0.20)
= $4.096 * 1.20
= $4.915
Calculation of D5 or dividend for year 5
= D4 * (1+0.20)
= $4.915 * (1 + 0.20)
= $4.915 * 1.20
= $5.898
Calculation of present value of dividends @14%
Rounding the answer to two decimal places
=$13.74
Note - How did we calculate the discounting factors @14%
Year 1
= 1/1.14
= 0.8771929825
Year 2
= 0.8771929825 / 1.14
= 0.7694675285
Year 3
= 0.7694675285 / 1.14
= 0.6749715162
Year 4
= 0.6749715162 / 1.14
= 0.5920802774
Year 5
= 0.5920802774 / 1.14
= 0.5193686644