You are considering an investment in the shares of Kirk\'s Information Inc. The
ID: 2669994 • Letter: Y
Question
You are considering an investment in the shares of Kirk's Information Inc. The company is still in its growth phase, so it won’t pay dividends for the next few years. Kirk’s accountant has determined that their first year's earnings per share (EPS) is expected to be $20. The company expects a return on equity (ROE) of 25% in each of the next 5 years but in the sixth year they expect to earn 20%. In the seventh year and forever into the future, they expect to earn 15%. Also, at the end of the sixth year and every year after that, they expect to pay dividends at a rate of 70% of earnings, retaining the other 30% in the company. Kirk's uses a discount rate of 15%.
Fill in the missing items in the following table:
Year
EPS
ROE
Expected Dividend
(end of year)
Present Value Of Dividend
(at time 0)
0
n/a
n/a
n/a
n/a
1
20
25%
0
0
2
25 = 1.25 x 20
25%
0
0
3
?
25%
0
0
4
?
25%
0
0
5
?
25%
0
0
6
?
20%
?
?
7
?
15%
?
?
8
?
15%
?
?
You are considering an investment in the shares of Kirk's Information Inc. The company is still in its growth phase, so it won’t pay dividends for the next few years. Kirk’s accountant has determined that their first year's earnings per share (EPS) is expected to be $20. The company expects a return on equity (ROE) of 25% in each of the next 5 years but in the sixth year they expect to earn 20%. In the seventh year and forever into the future, they expect to earn 15%. Also, at the end of the sixth year and every year after that, they expect to pay dividends at a rate of 70% of earnings, retaining the other 30% in the company. Kirk's uses a discount rate of 15%.
Fill in the missing items in the following table:
Year
EPS
ROE
Expected Dividend
(end of year)
Present Value Of Dividend
(at time 0)
0
n/a
n/a
n/a
n/a
1
20
25%
0
0
2
25 = 1.25 x 20
25%
0
0
3
?
25%
0
0
4
?
25%
0
0
5
?
25%
0
0
6
?
20%
?
?
7
?
15%
?
?
8
?
15%
?
?
Explanation / Answer
Year
EPS
ROE
Expected Dividend
PV Factor at 15%
PV of Dividend
0
n/a
n/a
n/a
n/a
1
20
25%
0
0.869
0
2
20*1.25= 25
25%
0
0.756
0
3
25*1.25=31.25
25%
0
0.657
0
4
31.25*1.25=39.06
25%
0
0.571
0
5
39.06*1.25= 48.82
25%
0
0.497
0
6
48.82*1.25= 61.02
20%
70%(61.02)= 42.71 (1+0.15)=49.11
0.432
49.11*0.432= 21.21
7
61.02*1.2= 73.22
15%
42.71(1.15)2= 56.46
0.375
56.46* 0.375= 21.17
8
73.22*1.15= 84.20
15%
42.71 (1.15)3= 64.91
0.326
64.91* 0.326= 21.16
In the sixth year the dividend will be 70% of the earnings
So dividend= 70% (61.02) = 42.71
The Expected dividend in sixth year = Dividend (1+0.15)^n
= 42.71 (1.15)^1
= 49.11
Expected Dividend in 7th year= 42.71 (1+0.15)^2
= 56.46
Expected Dividend in 8th Year = 42.71 (1.15)^3
= 64.91
Year
EPS
ROE
Expected Dividend
PV Factor at 15%
PV of Dividend
0
n/a
n/a
n/a
n/a
1
20
25%
0
0.869
0
2
20*1.25= 25
25%
0
0.756
0
3
25*1.25=31.25
25%
0
0.657
0
4
31.25*1.25=39.06
25%
0
0.571
0
5
39.06*1.25= 48.82
25%
0
0.497
0
6
48.82*1.25= 61.02
20%
70%(61.02)= 42.71 (1+0.15)=49.11
0.432
49.11*0.432= 21.21
7
61.02*1.2= 73.22
15%
42.71(1.15)2= 56.46
0.375
56.46* 0.375= 21.17
8
73.22*1.15= 84.20
15%
42.71 (1.15)3= 64.91
0.326
64.91* 0.326= 21.16
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