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Given the following data: Dividend Discount Model Three-Stage Example Discount rate (r): 12,00% Growth period (g1): Growth year 5 Initial growth period of EPS 23,00%

Given the following data:

Dividend Discount Model

Three-Stage Example

Discount rate (r): 12,00%
Growth period (g1):
Growth year 5
Initial growth period of EPS 23,00%
Maturity period (g2):
Payout at maturity 45%
Retention rate at maturity (retent) 55%
Growth rate at maturity: r x retent 6,600%
Transition period:
Transition years 12
Growth rate of EPS (incremental) 1,26%
Other information:
Current fiscal year EPS 4,00
Current calendar year dividend 0,50
Current payout (p1) 12,50%
Growth year payout = current 12,50%
Maturity payout (p2) 45,00%
Transition years payout (incremental) 2,50%
Growth + Transition Years 17
Terminal value (TV) = div1/(r-g)

Year Assumption EPS growth Dividend payout TV PV (div+TV)
1 Growth year EPS 4,92 23,00% 1 0,62 12,50% 0,55
2 Growth year EPS 6,05 23,00% 2 0,76 12,50% 0,60
3 Growth year EPS 7,44 23,00% 3 0,93 12,50% 0,66
4 Growth year EPS 9,16 23,00% 4 1,14 12,50% 0,73
5 Growth year EPS 11,26 23,00% 5 1,41 12,50% 0,80
6 Transition year EPS 13,71 21,74% 6 2,06 15,00% 1,04
7 Transition year EPS 16,52 20,48% 7 2,89 17,50% 1,31
8 Transition year EPS 19,69 19,22% 8 3,94 20,00% 1,59
9 Transition year EPS 23,23 17,95% 9 5,23 22,50% 1,88
10 Transition year EPS 27,10 16,69% 10 6,78 25,00% 2,18
11 Transition year EPS 31,28 15,43% 11 8,60 27,50% 2,47
12 Transition year EPS 35,72 14,17% 12 10,72 30,00% 2,75
13 Transition year EPS 40,33 12,91% 13 13,11 32,50% 3,00
14 Transition year EPS 45,02 11,65% 14 15,76 35,00% 3,22
15 Transition year EPS 49,70 10,38% 15 18,64 37,50% 3,40
16 Transition year EPS 54,23 9,12% 16 21,69 40,00% 3,54
17 Transition year EPS 58,50 7,86% 17 24,86 42,50% 519,648 79,30
18 Maturity 62,36 6,60% 18 28,06 45,00%
Theoretical price 109,05

Note: EPS = earnings per share

Question:

Fill in the Sensitivity Analysis (two way table):

Discount Rate
11% 11,50% 12% 12,50% 13%
Growth rate at maturity 5,80%
6,20%
6,60%
7%
7,40%

A sensitivity analysis determines how stock values change given different values of discount rate and perpetuity growth rate.

Please demonstrate how you find the solution in Excel (formula)

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