Ten years ago, Video Toys began manufacturing and selling coin-operated arcade games. Dividends are currently $1.50 per share, having grown at a 13 percent compound annual rate over the past 5 years. That growth rate is expected to be maintained for the next 3 years, after which dividends are expected to grow at half that rate for 3 years. Beyond that time, Video Toys’s dividends are expected to grow at 4 percent per year. What is the current value of a share of Video Toys common stock if your required rate of return is 19 percent? Use Table II to answer the question. Do not round intermediate calculations. Round your answer to the nearest cent. $  ______?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Ten years ago, Video Toys began manufacturing and selling coin-operated arcade games. Dividends are currently $1.50 per share, having grown at a 13 percent compound annual rate over the past 5 years. That growth rate is expected to be maintained for the next 3 years, after which dividends are expected to grow at half that rate for 3 years. Beyond that time, Video Toys’s dividends are expected to grow at 4 percent per year. What is the current value of a share of Video Toys common stock if your required rate of return is 19 percent? Use Table II to answer the question. Do not round intermediate calculations. Round your answer to the nearest cent.

$  ______?

 

TABLE II
Present Value Interest Factor (PVIF) (S1 at i % per period for n periods):
PVIF =
(1+
PV = FV,(PVIF,a)
Period, n
1%
1.000
3%
1.000 1.000
0.980 0.971
2%
4%
1.000
0.962
5%
1.000
6%
7%
8%
9%
10%
1.000
11%
1.000
12%
13%
1.000
0.943
1.000
0.935
1.000
0.926
0.857
0.794
1.000
0.917
1.000
0.893
0.797
0.712
0.636
1.000
0.885
0.990
0.980
0.971
0.952
0.909
0.901
0.961 0.943
0.942 0.915
0.907
0.864
0.812
0.731
0.659
0.593
0.783
0.693
0.613
0.543
0925
0.890
0.873
0.816
0.842
0.826
0.751
3
0.889
0.855
0.772
0.708
0.650
0.596
0.47
0.502
0.840
0.924 0.889
0.906 0.863
0.823
0.784
0.746
4
0.792
0.961
0.951
0.763
0.735
0.681
0.683
0.822
0.790
0.760
0.731
0.703
0.676
0.650
0.747
0.713
0.666
0.623
0.621
0.564
0.513
0567
0.507
0.452
0.888 0.838
0.871 0.813
0.853 0.789
0.837 0.766
0.705
0.665
0.627
0.592
0.58
0.527
0.497
0.469
0.442
0.417
0.535
0.482
0.434
0.480
0.425
0.942
0.630
0.933
0.923
0.914
O.583
0.540
0.711
0.677
0.582
0.544
0.467
0.404
0.376
033
0.295
0.261
0.645
10
11
0.508
0.475
0.500
0.463
0.460
0.422
0.424
0.386
0.350
0.391
0.352
0.317
0.361
0.322
0.905
0.820 0.744
0.804 0.722
0.614
0.896
0.887
0.585
0.557
0.429
0.397
0.388
0.287
0.257
0.229
0.205
0.183
0.788 0.701
0.773 0.681
0.286
0.258
0.232
0.209
0.231
0.204
0.181
12
13
0.625
0.601
0.444
0.356
0.319
0.879
0.530
0.758 0.661
0.743 0.642
0577
0.555
0534
0.415
0.388
0.362
0.368
0.340
0.326
0.299
0.290
0.263
0.239
0.505
0.481
14
0.870
15
0.315
0.292
0275
0.252
0.160
0.141
0.861
0.218
0.198
0.180
0.164
0.188
0.170
0.153
0.138
0.124
0.853
16
17
0.728 0.623
0.714 0.605
0.700 0.587
0.458
0.436
0.416
0.394
0.371
0.339
0.163
0.844
0513
0.494
0.317
0.270
0.250
0.231
0.212
0.296
0.276
0.258
0.197
0.146
0.130
0.116
0.104
0.066
0.125
0.111
0.098
0.087
18
19
0.836
0.350
0.331
0.828
0.820
0.686 0.570
0.673 0554
0.622 0.492
0.396
0.377
0310
0232
0.215
0.194
0.178
0.126
0.475
20
24
0.456
0.312
0.149
0.788
0.780
0.390
0.375
0.308
0.295
0.231
0.142
0.247
0.233
0.174
0.158
0.146
0.102
0.092
0.057
0.082
0.074
0.044
0.053
0.047
25
30
0.610 0.478
0.552 0.412
0.184
0.116
0.059
0.742
0.672
0.131
0.067
0.034
0.099
0.046
0.075
0.032
0.026
0.008
0.033
0.453 0.307
0.372 0.228
0.305 0.170
0.208
0.141
0.097
0.054
0.030
40
0.022
0.015
0.011
50
0.608
0.550
0.087
0.021
0.010
0013
0.006
0.009
0.003
0.005
0.002
0.003
0.001
0.002
0.001
60
0.095
0.054
0.017
Period n
17%
24%
14%
15%
16%
1.000
0.862
18%
19%
20%
1.000
0.833
28%
1.000
0.781
32%
36%
40%
1.000
0.877
1.000
0.870
1.000
1.000
0.847
1.000
0.840
1.000
1.000
1.000
0.735
1.000
0.714
0.806
0.758
0.769
0.675
0.855
0.731
0.624
0.756
0.658
0.572
0.497
0.743
0.641
0.718
0.706
0.694
0.579
0.650
0.524
0.610
0.477
0574
0.41
0.398
0.510
0.364
0.435
0.592
0.519
0.609
0.516
0.437
0.593
0.499
0.419
0552
0.534
0.482
0.402
0.423
0.341
0.373
0.291
0.329
0.250
0292
0215
0.260
0.186
0.476
0.456
0.400
0.432
0.376
0410
0.354
0.456
0.390
0.333
0.158
0.116
0.370
0.314
0.266
0.225
0.191
0352
0.296
0.335
0.279
0.275
0.222
0227
0.178
0.189
0.143
0.133
0.095
0.068
0.048
0.351
0.308
0.327
0.284
0.305
0.263
0.285
0.243
0.208
0.178
0.152
0.130
0.249
0.209
0.233
0.194
0.179
0.144
0.139
0.108
0.085
0.063
0.108
0.085
0.066
0.082
0.062
0.047
0227
0.195
0.168
0.176
0.148
0.124
0.104
0.046
0.034
0.025
0.018
0.270
0.237
0.247
0.162
0.135
0.116
0.094
0.035
0.025
11
0.215
0.187
0.162
0.137
0.116
0.099
12
13
0.208
0.112
0.093
0.076
0.061
0.052
0.040
0.036
0.018
0.013
14
15
0.182
0.160
0.140
0.163
0.141
0.123
0.145
0.125
0.108
0.027
0.021
0.016
0.111
0.088
0.074
0.078
0.065
0.049
0.040
0.032
0.025
0.014
0.010
0.009
0.006
0.095
0.084
0.071
16
17
0.123
0.108
0.107
0.093
0.093
0.080
0.081
0.069
0.062
0.052
0.054
0.045
0.032
0.019
0.015
0.012
0.009
0.007
0.005
0.003
0.005
0.060
0.051
0.026
0.021
0.017
0.044
0.037
0.031
0.015
18
19
0.095
0.081
0.069
0.060
0.059
0.051
0.038
0.031
0.012
0.009
0.007
0.004
0.002
20
24
0.083
0.073
0.043
0.070
0.061
0.035
0.051
0.028
0.043
0.023
0.043
0.037
0.019
0.026
0.013
0.014
0.006
0.007
0.003
0.005
0.004
0.001
0.003
0.002
0.001
0.002
0.001
0.000
0.000
25
30
0.038
0.020
0.030
0.015
0.024
0.012
0.020
0.009
0.016
0.007
0.001
0.013
0.005
0.010
0.004
0.005
0.002
0.002
0.001
0.001
0.000
0.000
40
50
0.005
0.001
0.004
0.001
0.003
0.001
0.001
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.002
0.001
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
60
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
23
4507
0060123
Transcribed Image Text:TABLE II Present Value Interest Factor (PVIF) (S1 at i % per period for n periods): PVIF = (1+ PV = FV,(PVIF,a) Period, n 1% 1.000 3% 1.000 1.000 0.980 0.971 2% 4% 1.000 0.962 5% 1.000 6% 7% 8% 9% 10% 1.000 11% 1.000 12% 13% 1.000 0.943 1.000 0.935 1.000 0.926 0.857 0.794 1.000 0.917 1.000 0.893 0.797 0.712 0.636 1.000 0.885 0.990 0.980 0.971 0.952 0.909 0.901 0.961 0.943 0.942 0.915 0.907 0.864 0.812 0.731 0.659 0.593 0.783 0.693 0.613 0.543 0925 0.890 0.873 0.816 0.842 0.826 0.751 3 0.889 0.855 0.772 0.708 0.650 0.596 0.47 0.502 0.840 0.924 0.889 0.906 0.863 0.823 0.784 0.746 4 0.792 0.961 0.951 0.763 0.735 0.681 0.683 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.747 0.713 0.666 0.623 0.621 0.564 0.513 0567 0.507 0.452 0.888 0.838 0.871 0.813 0.853 0.789 0.837 0.766 0.705 0.665 0.627 0.592 0.58 0.527 0.497 0.469 0.442 0.417 0.535 0.482 0.434 0.480 0.425 0.942 0.630 0.933 0.923 0.914 O.583 0.540 0.711 0.677 0.582 0.544 0.467 0.404 0.376 033 0.295 0.261 0.645 10 11 0.508 0.475 0.500 0.463 0.460 0.422 0.424 0.386 0.350 0.391 0.352 0.317 0.361 0.322 0.905 0.820 0.744 0.804 0.722 0.614 0.896 0.887 0.585 0.557 0.429 0.397 0.388 0.287 0.257 0.229 0.205 0.183 0.788 0.701 0.773 0.681 0.286 0.258 0.232 0.209 0.231 0.204 0.181 12 13 0.625 0.601 0.444 0.356 0.319 0.879 0.530 0.758 0.661 0.743 0.642 0577 0.555 0534 0.415 0.388 0.362 0.368 0.340 0.326 0.299 0.290 0.263 0.239 0.505 0.481 14 0.870 15 0.315 0.292 0275 0.252 0.160 0.141 0.861 0.218 0.198 0.180 0.164 0.188 0.170 0.153 0.138 0.124 0.853 16 17 0.728 0.623 0.714 0.605 0.700 0.587 0.458 0.436 0.416 0.394 0.371 0.339 0.163 0.844 0513 0.494 0.317 0.270 0.250 0.231 0.212 0.296 0.276 0.258 0.197 0.146 0.130 0.116 0.104 0.066 0.125 0.111 0.098 0.087 18 19 0.836 0.350 0.331 0.828 0.820 0.686 0.570 0.673 0554 0.622 0.492 0.396 0.377 0310 0232 0.215 0.194 0.178 0.126 0.475 20 24 0.456 0.312 0.149 0.788 0.780 0.390 0.375 0.308 0.295 0.231 0.142 0.247 0.233 0.174 0.158 0.146 0.102 0.092 0.057 0.082 0.074 0.044 0.053 0.047 25 30 0.610 0.478 0.552 0.412 0.184 0.116 0.059 0.742 0.672 0.131 0.067 0.034 0.099 0.046 0.075 0.032 0.026 0.008 0.033 0.453 0.307 0.372 0.228 0.305 0.170 0.208 0.141 0.097 0.054 0.030 40 0.022 0.015 0.011 50 0.608 0.550 0.087 0.021 0.010 0013 0.006 0.009 0.003 0.005 0.002 0.003 0.001 0.002 0.001 60 0.095 0.054 0.017 Period n 17% 24% 14% 15% 16% 1.000 0.862 18% 19% 20% 1.000 0.833 28% 1.000 0.781 32% 36% 40% 1.000 0.877 1.000 0.870 1.000 1.000 0.847 1.000 0.840 1.000 1.000 1.000 0.735 1.000 0.714 0.806 0.758 0.769 0.675 0.855 0.731 0.624 0.756 0.658 0.572 0.497 0.743 0.641 0.718 0.706 0.694 0.579 0.650 0.524 0.610 0.477 0574 0.41 0.398 0.510 0.364 0.435 0.592 0.519 0.609 0.516 0.437 0.593 0.499 0.419 0552 0.534 0.482 0.402 0.423 0.341 0.373 0.291 0.329 0.250 0292 0215 0.260 0.186 0.476 0.456 0.400 0.432 0.376 0410 0.354 0.456 0.390 0.333 0.158 0.116 0.370 0.314 0.266 0.225 0.191 0352 0.296 0.335 0.279 0.275 0.222 0227 0.178 0.189 0.143 0.133 0.095 0.068 0.048 0.351 0.308 0.327 0.284 0.305 0.263 0.285 0.243 0.208 0.178 0.152 0.130 0.249 0.209 0.233 0.194 0.179 0.144 0.139 0.108 0.085 0.063 0.108 0.085 0.066 0.082 0.062 0.047 0227 0.195 0.168 0.176 0.148 0.124 0.104 0.046 0.034 0.025 0.018 0.270 0.237 0.247 0.162 0.135 0.116 0.094 0.035 0.025 11 0.215 0.187 0.162 0.137 0.116 0.099 12 13 0.208 0.112 0.093 0.076 0.061 0.052 0.040 0.036 0.018 0.013 14 15 0.182 0.160 0.140 0.163 0.141 0.123 0.145 0.125 0.108 0.027 0.021 0.016 0.111 0.088 0.074 0.078 0.065 0.049 0.040 0.032 0.025 0.014 0.010 0.009 0.006 0.095 0.084 0.071 16 17 0.123 0.108 0.107 0.093 0.093 0.080 0.081 0.069 0.062 0.052 0.054 0.045 0.032 0.019 0.015 0.012 0.009 0.007 0.005 0.003 0.005 0.060 0.051 0.026 0.021 0.017 0.044 0.037 0.031 0.015 18 19 0.095 0.081 0.069 0.060 0.059 0.051 0.038 0.031 0.012 0.009 0.007 0.004 0.002 20 24 0.083 0.073 0.043 0.070 0.061 0.035 0.051 0.028 0.043 0.023 0.043 0.037 0.019 0.026 0.013 0.014 0.006 0.007 0.003 0.005 0.004 0.001 0.003 0.002 0.001 0.002 0.001 0.000 0.000 25 30 0.038 0.020 0.030 0.015 0.024 0.012 0.020 0.009 0.016 0.007 0.001 0.013 0.005 0.010 0.004 0.005 0.002 0.002 0.001 0.001 0.000 0.000 40 50 0.005 0.001 0.004 0.001 0.003 0.001 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.002 0.001 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 60 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 23 4507 0060123
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