cfa shareRepurchase
Sheet1 (2)
Assumptions
Reconcile Models:
Total growth (gT)
7.0%
1. DDM (Gordon Growth)
Buyback yield (b)
2.0%
Dividend
$0.60
Dividend growth (g)
5.0%
Discount
10%
Growth
7.0%
Div yield (d)
4.0%
Price
$20.00
Discount rate (r)
10%
2. TCFM
First dividend (D1)
$0.60
Dividend
$1.00
Discount
10%
Growth
5.0%
fraction (f)
1.89%
Price
$20.00
(1+g)/(1+gT)
0.98
Period:
0
1
2
3
4
5
6
7
8
9
10
11
Dividend Discount Model (DDM)
Dividends ($)
$0.600
$0.642
$0.687
$0.735
$0.786
$0.842
$0.900
$0.963
$1.031
$1.103
$1.180
growth
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
Stock Price
$20.00
$21.40
$22.90
$24.50
$26.22
$28.05
$30.01
$32.12
$34.36
$36.77
$39.34
growth
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
Total Cash Flow Model (TCFM)
Repurchase fraction
1.89%
1.85%
1.82%
1.78%
1.75%
1.72%
1.68%
1.65%
1.62%
1.59%
Dividends ($)
$0.60
0.6299
0.6613
0.6942
0.7288
0.7651
0.8032
0.8432
0.8852
0.9293
growth
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
Repurchase ($)
$0.40
$0.42
$0.45
$0.47
$0.49
$0.51
$0.54
$0.57
$0.60
$0.63
Total Cash flow (repurchase + dividend)
$1.00
$1.05
$1.11
$1.161
$1.219
$1.280
$1.344
$1.411
$1.481
$1.555
growth
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
Sheet1
div yield (y)
3.0%
repurchase yield (b)
2.0%
growth (g)
5.0%
discount rate (r)
10.0%
fraction (f)
1.9%
7.0%
$0.60
$20.00
$0.37
0.9813
Holding
Period
Fraction
0
1
2
3
4
5
1
0.0187
0.60
2
0.0183
0.60
0.642
3
0.0180
0.60
0.642
0.687
4
0.0177
0.60
0.642
0.687
0.735
5
0.0173
0.60
0.642
0.687
0.735
0.786
6
0.0170
0.60
0.642
0.687
0.735
0.786
0.842
7
0.0167
0.60
0.642
0.687
0.735
0.786
0.842
8
0.0164
0.60
0.642
0.687
0.735
0.786
0.842
9
0.0161
0.60
0.642
0.687
0.735
0.786
0.842
10
0.0158
0.60
0.642
0.687
0.735
0.786
0.842
$20.00
$21.40
$22.90
$24.50
$26.22
$28.05
Dividend
$0.60
0.630
0.6615
0.694575
Repurchase
$0.40
0.420
$0.44
$0.46
$1.00
1.050
1.1025
1.1576
1
2
3
4
5
6
7
8
9
10
11
Dividends
$0.600
$0.642
$0.687
$0.735
$0.786
$0.842
$0.900
$0.963
$1.031
$1.103
$1.180
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
Price (Gordon Growth)
$20.00
$21.40
$22.90
$24.50
$26.22
$28.05
$30.01
$32.12
$34.36
$36.77
$39.34
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
7.0%
0.0187
0.0183
0.0180
0.0177
0.0173
0.0170
0.0167
0.0164
0.0161
0.0158
Dividend
$0.60
0.6300
0.6615
0.6946
0.7293
0.7658
0.8041
0.8443
0.8865
0.9308
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
Repurchase
$0.40
$0.42
$0.44
$0.46
$0.49
$0.51
$0.54
$0.56
$0.59
$0.62
$1.00
$1.05
$1.10
$1.158
$1.216
$1.276
$1.340
$1.407
$1.477
$1.551
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
5.0%
$20.00
Gordon
$0.600
7.0%
$20.00
$1.00
5.0%
$20.00
Sheet2
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