Suppose you are 45 and have a $410,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of the policy). Your annual premium is $1,435. The cash value of the policy is expected to be $16,400 in 15 years. Using time value of money and assuming you could invest your money elsewhere for a 7 percent annual yield. I really need help in calculating the net cost of insurance.
Suppose you are 45 and have a $410,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of the policy). Your annual premium is $1,435. The cash value of the policy is expected to be $16,400 in 15 years. Using time value of money and assuming you could invest your money elsewhere for a 7 percent annual yield. I really need help in calculating the net cost of insurance.
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
Section: Chapter Questions
Problem 1PS
Related questions
Question
Suppose you are 45 and have a $410,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of the policy). Your annual premium is $1,435. The cash value of the policy is expected to be $16,400 in 15 years. Using time value of money and assuming you could invest your money elsewhere for a 7 percent annual yield.
I really need help in calculating the net cost of insurance.
Note: Use appropriate factor(s) from the tables provided. Do not round intermediate calculations. Round time value factor to 3 decimal places and final answer to the nearest whole number.
Transcribed Image Text:Exhibit 1-B Future Value (Compounded Sum) of $1 Paid In at the End of Each Period for a Given Number of Time Periods (an Annuity)
Period
1
3%
1.000
2.030
4%
1.000
2.040
3.091
3.122
4.184
4.246
5.309
5.416
6.468
6.633
7.662
7.898
8.892
9.214
10.159
11.464
12.808
14.192
15.618
17.086
18.599
20.157
21.762
23.414
25.117
26.870
36.459
47.575
75.401
112.797
2
3
4
5
6
7
8
9
OHNMASSI
10
11
12
13
14
15
16
17
18
19
20
25
30
40
50
1%
1.000
2.010
3.030
4.060
5.101
6.152
7.214
8.286
9.369
10.462
11.567
12.683
13.809
14.947
16.097
17.258
18.430
19.615
20.811
22.019
28.243
34.785
48.886
64.463
2%
1.000
2.020
3.060
4.122
5.204
6.308
7.434
8.583
9.755
10.950
12.169
13.412
14.680
15.974
17.293
18.639
20.012
21.412
22.841
24.297
32.030
40.568
60.402
84.579
10.583
12.006
13.486
15.026
16.627
18.292
20.024
21.825
23.698
25.645
27.671
29.778
41.646
56.085
95.026
152.667
5%
1.000
2.050
3.153
4.310
5.526
6.802
8.142
9.549
11.027
12.578
14.207
15.917
17.713
19.599
21.579
23.657
25.840
28.132
30.539
33.066
47.727
66.439
120.800
209.348
6%
1.000
2.060
3.184
4.375
5.637
6.975
8.394
9.897
11.491
13.181
14.972
16.870
18.882
21.015
23.276
25.673
28.213
30.906
33.760
36.786
54.865
79.058
154.762
290.336
7%
1.000
2.070
3.215
4.440
5.751
7.153
8.654
10.260
11.978
13.816
15.784
17.888
20.141
22.550
25.129
27.888
30.840
33.999
37.379
40.995
63.249
94.461
199.635
406.529
8%
1.000
2.080
3.246
4.506
5.867
7.336
8.923
10.637
12.488
14.487
16.645
18.977
21.495
22.953
24.215
26.019
29.361
27.152
30.324
33.003
36.974
33.750
37.450
41.301
41.446
46.018
45.762
51.160
73.106
84.701
113.283
136.308
337.882
259.057
573.770 815.084 1,163.909 1,668.771
9%
1.000
2.090
3.278
4.573
5.985
7.523
9.200
11.028
13.021
15.193
17.560
20.141
10%
1.000
2.100
3.310
4.641
6.105
7.716
9.487
11.436
13.579
15.937
18.531
21.384
24.523
27.975
31.772
35.950
40.545
45.599
51.159
57.275
98.347
164.494
442.593
11%
1.000
2.110
3.342
4.710
6.228
7.913
9.783
11.859
14.164
16.722
19.561
22.713
26.212
30.095
34.405
39.190
44.501
50.396
56.939
64.203
114.413
199.021
581.826
Transcribed Image Text:Exhibit 1-A Future Value (Compounded Sum) of $1 after a Given Number of Time Periods
1%
1.010
7%
1.070
1.020
1.145
1.030
1.225
1.041
1.311
1.051
1.403
1.062
1.501
1.072
1.606
1.083
1.718
1.094
1.838
1.105
1.967
1.116
2.105
1.127
2.252
1.138
2.410
1.149
2.579
2.759
2.952
Period
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
85
25
30
40
50
1.161
1.173
1.184
1.196
1.208
1.220
1.282
1.348
...
1.489
1.645
2%
1.020
1.040
1.061
1.082
1.104
1.126
1.149
1.172
1.195
1.219
1.243
1.268
1.294
1.319
1.346
1.373
1.400
1.428
1.457
1.486
1.641
1.811
2.208
2.692
3%
1.030
1.061
1.093
1.126
1.159
1.194
1.230
1.267
1.305
1.344
1.384
1.426
1.469
1.513
1.558
1.605
1.653
1.702
1.754
1.806
2.094
2.427
3.262
4.384
4%
1.040
1.082
1.125
1.170
1.217
1.265
1.316
1.369
1.423
1.480
1.539
1.601
1.665
1.732
1.801
1.873
1.948
2.026
2.107
2.191
2.666
3.243
4.801
7.107
5%
1.050
1.103
1.158
1.216
1.276
1.340
1.407
1.477
1.551
1.629
1.710
1.796
1.886
1.980
2.079
2.183
2.292
2.407
2.527
2.653
3.386
4.322
7.040
11.467
6%
1.060
1.124
1.191
1.262
1.338
1.419
1.504
1.594
1.689
1.791
1.898
2.012
2.133
2.261
2.397
2.540
2.693
2.854
3.026
3.207
4.292
5.743
10.286
18.420
3.159
3.380
3.617
3.870
5.427
7.612
8%
1.080
1.166
1.260
1.360
1.469
1.587
1.714
1.851
1.999
2.159
2.332
2.518
2.813
2.720
3.066
2.937
3.342
3.172
3.642
3.426
3.970
3.700
4.328
3.996
4.717
4.316
5.142
4.661
5.604
6.848
8.623
10.063 13.268
21.725 31.409
9%
1.090
1.188
1.295
1.412
1.539
1.677
1.828
1.993
2.172
2.367
2.580
14.974
29.457 46.902
10%
1.100
1.210
1.331
11%
1.110
1.232
1.368
1.518
1.685
1.870
2.076
2.305
2.558
2.839
3.152
3.498
3.883
4.310
4.177
4.785
4.595
5.311
5.054
5.895
5.560
6.544
6.116
7.263
6.727
8.062
10.835
13.585
17.449
22.892
45.259
65.001
74.358 117.391 184.565
1.464
1.611
1.772
1.949
2.144
2.358
2.594
2.853
3.138
3.452
3.797
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