1.  how much money will you have at the end of 20 years if you save $4,000 every year for those twenty years and earn 12% every year?   2. Let's say you have just retired and you have $1 million saved. Your desire is to die broke. You will draw out $121,930.25 each year to live on. Assuming you earn 10%a year on any money you haven't drawn out, at the end of which year will you run out of money ? (and that's when you should die). Give your answer as a number such as 11 and not 11th

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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1.  how much money will you have at the end of 20 years if you save $4,000 every year for those twenty years and earn 12% every year?
 
2. Let's say you have just retired and you have $1 million saved. Your desire is to die broke. You will draw out $121,930.25 each year to live on. Assuming you earn 10%a year on any money you haven't drawn out, at the end of which year will you run out of money ? (and that's when you should die). Give your answer as a number such as 11 and not 11th
Future Value and Present
Value Tables
Table I
Period
6%
10%
12%
14%
20%
Future Value of $1.00(1+ ryp
1.040
1.060
1.080
1.100
1.120
1.140
1.200
1.082
1.124
1.166
1.210
1.254
1.300
1.440
3
1.125
1.191
1.260
1.331
1.405
1.482
1.728
1.170
1.263
1.361
1.464
1.574
1.689
2.074
1217
1.338
1.469
1.611
1.762
1.925
2.488
1.265
1.419
1.587
1.772
1.974
2.195
2.986
7
1.316
1.504
1.714
1.949
2211
2.502
3.583
1.369
1.594
1.851
2.144
2476
2.853
4.300
1.423
1.690
1.999
2.359
2.773
3.252
5.160
10
1.480
1.791
2.159
2.594
3. 106
3.707
6.192
11
1.540
1.898
2.332
2.853
3.479
4.226
7.430
12
1.601
2.012
2.518
3.139
3.896
4.818
8.916
13
1.665
2.133
2.720
3.452
4.364
5.492
10.699
14
1.732
2.261
2.937
3.798
4.887
6.261
12.839
15
1.801
2.397
3.172
4.177
5.474
7.138
15.407
20
2.191
3.207
4.661
6.728
9.646
13.743
38.338
30
3.243
5.744
10.063
17.450
29.960
50.950
237.380
40
4.801
10.286
21.725
45.260
93.051
188.880
1,469.800
Table II
Period
4%
6%
8%
10%
12%
14%
20%
Future Value of a Series of
$1.00 Cash Flows
(Ordinary Annuity)
(1 + r)° – 1
1.000
1.000
1.000
1.000
1.000
1.000
1.000
2.040
2.060
2.080
2.100
2.120
2.140
2.220
3
3.122
3.184
3.246
3.310
3.374
3.440
3.640
4.247
4.375
4.506
4.641
4.779
4.921
5.368
5.416
5.637
5.867
6.105
6.353
6.610
7.442
6.633
6.975
7.336
7.7 16
8.115
8.536
9.930
7
7.898
8.394
8.923
9.487
10.089
10.730
12.916
8
9.214
9.898
10.637
11.436
12.300
13.233
16.499
9
10.583
11.491
12.488
13.580
14.776
16.085
20.799
10
12.006
13.181
14.487
15.938
17.549
19.337
25.959
11
13.486
14.972
16.646
18.531
20.655
23.045
32.150
12
15.026
16.870
18.977
21.385
24.133
27.271
39.580
13
16.627
18.882
21.495
24.523
28.029
32.089
48.497
14
18.292
21.015
24.215
27.976
32.393
37.581
59.196
15
20.024
23.276
27.152
31.773
37.280
43.842
72.035
20
29.778
36.778
45.762
57.276
75.052
91.025
186.690
30
56.085
79.058
113.283
164.496
241.330
356.790
1,181.900
40
95.026
154.762
259.057
442.597
767.090
1,342.000
7,343.900
Transcribed Image Text:Future Value and Present Value Tables Table I Period 6% 10% 12% 14% 20% Future Value of $1.00(1+ ryp 1.040 1.060 1.080 1.100 1.120 1.140 1.200 1.082 1.124 1.166 1.210 1.254 1.300 1.440 3 1.125 1.191 1.260 1.331 1.405 1.482 1.728 1.170 1.263 1.361 1.464 1.574 1.689 2.074 1217 1.338 1.469 1.611 1.762 1.925 2.488 1.265 1.419 1.587 1.772 1.974 2.195 2.986 7 1.316 1.504 1.714 1.949 2211 2.502 3.583 1.369 1.594 1.851 2.144 2476 2.853 4.300 1.423 1.690 1.999 2.359 2.773 3.252 5.160 10 1.480 1.791 2.159 2.594 3. 106 3.707 6.192 11 1.540 1.898 2.332 2.853 3.479 4.226 7.430 12 1.601 2.012 2.518 3.139 3.896 4.818 8.916 13 1.665 2.133 2.720 3.452 4.364 5.492 10.699 14 1.732 2.261 2.937 3.798 4.887 6.261 12.839 15 1.801 2.397 3.172 4.177 5.474 7.138 15.407 20 2.191 3.207 4.661 6.728 9.646 13.743 38.338 30 3.243 5.744 10.063 17.450 29.960 50.950 237.380 40 4.801 10.286 21.725 45.260 93.051 188.880 1,469.800 Table II Period 4% 6% 8% 10% 12% 14% 20% Future Value of a Series of $1.00 Cash Flows (Ordinary Annuity) (1 + r)° – 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2.040 2.060 2.080 2.100 2.120 2.140 2.220 3 3.122 3.184 3.246 3.310 3.374 3.440 3.640 4.247 4.375 4.506 4.641 4.779 4.921 5.368 5.416 5.637 5.867 6.105 6.353 6.610 7.442 6.633 6.975 7.336 7.7 16 8.115 8.536 9.930 7 7.898 8.394 8.923 9.487 10.089 10.730 12.916 8 9.214 9.898 10.637 11.436 12.300 13.233 16.499 9 10.583 11.491 12.488 13.580 14.776 16.085 20.799 10 12.006 13.181 14.487 15.938 17.549 19.337 25.959 11 13.486 14.972 16.646 18.531 20.655 23.045 32.150 12 15.026 16.870 18.977 21.385 24.133 27.271 39.580 13 16.627 18.882 21.495 24.523 28.029 32.089 48.497 14 18.292 21.015 24.215 27.976 32.393 37.581 59.196 15 20.024 23.276 27.152 31.773 37.280 43.842 72.035 20 29.778 36.778 45.762 57.276 75.052 91.025 186.690 30 56.085 79.058 113.283 164.496 241.330 356.790 1,181.900 40 95.026 154.762 259.057 442.597 767.090 1,342.000 7,343.900
Table III
Present Value of $1.00
1
(1 +rn
Period
4%
6%
8%
10%
12 %
14%
16%
18 %
20%
22%
24%
26%
28%
30%
32%
962
943
.926
909
.893
877
862
847
833
820
.806
794
781
769
758
925
890
.857
826
797
769
743
718
694
.672
.650
630
.610
.592
574
3
889
840
794
751
712
675
641
.609
579
551
.524
500
477
455
435
4
855
792
735
683
636
592
552
516
482
451
423
397
373
350
329
5
822
747
.681
.621
.567
.519
476
437
402
370
341
315
291
269
250
790
705
.630
.564
.507
456
410
370
335
303
275
250
227
207
189
7
760
665
.583
513
452
400
354
314
279
249
222
198
178
159
143
731
.627
540
467
404
351
305
266
233
204
179
157
139
123
108
703
592
500
424
361
308
263
225
194
.167
144
.125
.108
.094
082
10
676
558
463
386
322
270
227
191
162
.137
.116
099
085
.073
062
11
.650
527
429
350
287
237
195
162
135
112
.094
079
.066
.056
.047
12
.625
497
397
319
257
208
.168
137
112
.092
076
062
.052
.043
.036
13
.601
469
368
290
.229
.182
145
116
093
075
.061
050
.040
.033
027
14
577
442
340
263
.205
.160
.125
.099
078
.062
.049
039
.032
.025
.021
15
555
417
315
239
.183
140
.108
.084
065
.051
.040
.031
.025
.020
.016
20
456
312
215
149
104
073
.051
.037
026
019
014
.010
.007
.005
.004
30
308
174
.099
057
.033
.020
.012
.007
.004
.003
.002
.001
.001
40
208
.097
046
.022
.011
.005
.003
001
.001
Table IV
Present Value of Series of
$1.00 Cash Flows
-
(1 + r")/
Period
4%
6%
8%
10%
12%
14%
16%
18%
20%
22%
24%
25%
26%
28%
30%
1
0.962
0.943
0.926
0.909
0.893
0.877
0.862
0.847
0.833
0.820
0.806
0.800
0.794
0.781
0.769
2
1.886
1.833
1.783
1.736
1.690
1.647
1.605
1.566
1.528
1.492
1.457
1.440
1.424
1.392
1.361
3
2.775
2.673
2.577
2.487
2.402
2.322
2.246
2.174
2.106
2.042
1.981
1.952
1.923
1.868
1.816
4
3.630
3.465
3.312
3.170
3.037
2.914
2.798
2.690
2.589
2.494
2.404
2.362
2.320
2.241
2.166
4.452
4.212
3.993
3.791
3.605
3.433
3.274
3.127
2.991
2.864
2.745
2.689
2.635
2.532
2.436
6.
5.242
4.917
4.623
4.355
4.111
3.889
3.685
3.498
3.326
3.167
3.020
2.951
2.885
2.759
2.643
6.002
5.582
5.206
4.868
4.564
4.288
4.039
3.812
3.605
3.416
3.242
3.161
3.083
2.937
2.802
8
6.733
6.210
5.747
5.335
4.968
4.639
4.344
4.078
3.837
3.619
3.421
3.329
3.241
3.076
2.925
9
7.435
6.802
6.247
5.759
5.328
4.946
4.607
4.303
4.031
3.796
3.566
3.463
3.366
3.184
3.019
10
8.111
7.360
6.710
6.145
5.650
5.216
4.833
4.494
4.192
3.923
3.682
3.571
3.465
3.269
3.092
11
8.760
7.887
7.139
6.495
5.938
5.453
5.029
4.656
4.327
4.035
3.776
3.656
3.544
3.335
3.147
12
9.385
8.384
7.536
6.814
6.194
5.660
5.197
4.793
4.439
4.127
3.851
3.725
3.606
3.387
3. 190
13
9.986
8.853
7.904
7.103
6.424
5.842
5.342
4.910
4.533
4.203
3.912
3.780
3.656
3.427
3.223
14
10.563
9.295
8.244
7.367
6.628
6.002
5.468
5.008
4.611
4.265
3.962
3.824
3.695
3.459
3.249
15
11.118
9.712
8.559
7.606
6.811
6.142
5.575
5.092
4.675
4.315
4.001
3.859
3.726
3.483
3.268
20
13.590
11.470
9.818
8.514
7.469
6.623
5.929
5.353
4.870
4.460
4.110
3.954
3.808
3.546
3.316
30
17.292
13.765
11.258
9.427
8.055
7.003
6.177
5.517
4.979
4.534
4.160
3.995
3.842
3.569
3.332
40
19.793
15.046
11.925
9.779
8.244
7.105
6.234 5.548
4.997
4.544
4.166
3.999
3.846
3.571
3.333
Transcribed Image Text:Table III Present Value of $1.00 1 (1 +rn Period 4% 6% 8% 10% 12 % 14% 16% 18 % 20% 22% 24% 26% 28% 30% 32% 962 943 .926 909 .893 877 862 847 833 820 .806 794 781 769 758 925 890 .857 826 797 769 743 718 694 .672 .650 630 .610 .592 574 3 889 840 794 751 712 675 641 .609 579 551 .524 500 477 455 435 4 855 792 735 683 636 592 552 516 482 451 423 397 373 350 329 5 822 747 .681 .621 .567 .519 476 437 402 370 341 315 291 269 250 790 705 .630 .564 .507 456 410 370 335 303 275 250 227 207 189 7 760 665 .583 513 452 400 354 314 279 249 222 198 178 159 143 731 .627 540 467 404 351 305 266 233 204 179 157 139 123 108 703 592 500 424 361 308 263 225 194 .167 144 .125 .108 .094 082 10 676 558 463 386 322 270 227 191 162 .137 .116 099 085 .073 062 11 .650 527 429 350 287 237 195 162 135 112 .094 079 .066 .056 .047 12 .625 497 397 319 257 208 .168 137 112 .092 076 062 .052 .043 .036 13 .601 469 368 290 .229 .182 145 116 093 075 .061 050 .040 .033 027 14 577 442 340 263 .205 .160 .125 .099 078 .062 .049 039 .032 .025 .021 15 555 417 315 239 .183 140 .108 .084 065 .051 .040 .031 .025 .020 .016 20 456 312 215 149 104 073 .051 .037 026 019 014 .010 .007 .005 .004 30 308 174 .099 057 .033 .020 .012 .007 .004 .003 .002 .001 .001 40 208 .097 046 .022 .011 .005 .003 001 .001 Table IV Present Value of Series of $1.00 Cash Flows - (1 + r")/ Period 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 25% 26% 28% 30% 1 0.962 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 0.820 0.806 0.800 0.794 0.781 0.769 2 1.886 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 1.492 1.457 1.440 1.424 1.392 1.361 3 2.775 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 2.042 1.981 1.952 1.923 1.868 1.816 4 3.630 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 2.494 2.404 2.362 2.320 2.241 2.166 4.452 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 2.864 2.745 2.689 2.635 2.532 2.436 6. 5.242 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 3.167 3.020 2.951 2.885 2.759 2.643 6.002 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 3.416 3.242 3.161 3.083 2.937 2.802 8 6.733 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 3.619 3.421 3.329 3.241 3.076 2.925 9 7.435 6.802 6.247 5.759 5.328 4.946 4.607 4.303 4.031 3.796 3.566 3.463 3.366 3.184 3.019 10 8.111 7.360 6.710 6.145 5.650 5.216 4.833 4.494 4.192 3.923 3.682 3.571 3.465 3.269 3.092 11 8.760 7.887 7.139 6.495 5.938 5.453 5.029 4.656 4.327 4.035 3.776 3.656 3.544 3.335 3.147 12 9.385 8.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 4.127 3.851 3.725 3.606 3.387 3. 190 13 9.986 8.853 7.904 7.103 6.424 5.842 5.342 4.910 4.533 4.203 3.912 3.780 3.656 3.427 3.223 14 10.563 9.295 8.244 7.367 6.628 6.002 5.468 5.008 4.611 4.265 3.962 3.824 3.695 3.459 3.249 15 11.118 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 4.315 4.001 3.859 3.726 3.483 3.268 20 13.590 11.470 9.818 8.514 7.469 6.623 5.929 5.353 4.870 4.460 4.110 3.954 3.808 3.546 3.316 30 17.292 13.765 11.258 9.427 8.055 7.003 6.177 5.517 4.979 4.534 4.160 3.995 3.842 3.569 3.332 40 19.793 15.046 11.925 9.779 8.244 7.105 6.234 5.548 4.997 4.544 4.166 3.999 3.846 3.571 3.333
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