Compound Amount Term of Investment Nominal Rate (%) Interest Compounded Present Value Compound Interest $300,000 10 years 4 annually $ $

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
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Question
100%
Calculate the present value (principal) and the compound interest (in $). Use Table 11-2. Round your answers to the nearest cent.
Compound
Amount
Term of
Investment
Nominal
Rate (%)
Interest
Compounded
Present
Value
Compound
Interest
$300,000 10 years 4 annually
Periods
2%
3%
4%
5%
6%
7%
8%
Periods
0.99502
0.99010
0.98522
0.98039
0.97087
0.96154
0.95238
0.94340
0.93458
0.92593
0.99007
0.98030
0.97066
0.96117
0.94260
0.92456
0.90703
0.89000
0.87344
0.85734
2
3
0.98515
0.97059
0.95632
0.94232
0.91514
0.88900
0.86384
0.83962
0.81630
0.79383
3
4
0.98025
0.96098
0.94218
0.92385
0.88849
0.85480
0.82270
0.79209
0.76290
0.73503
4
0.97537
0.95147
0.92826
0.90573
0.86261
0.82193
0.78353
0.74726
0.71299
0.68058
0.97052
0.94205
0.91454
0.88797
0.83748
0.79031
0.74622
0.70496
0.66634
0.63017
6.
7
0.96569
0.93272
0.90103
0.87056
0.81309
0.75992
0.71068
0.66506
0.62275
0.58349
7
8
0.96089
0.92348
0.88771
0.85349
0.78941
0.73069
0.67684
0.62741
0.58201
0.54027
9
095610
0.91434
0.87459
0.83676
0.76642
0.70259
0.64461
0.59190
0.54393
0.50025
10
0.95135
0.90529
0.86167
0.82035
0.74409
0.67556
0.61391
0.55839
0.50835
0.46319
10
11
0.94661
0.89632
0.84893
0.80426
0.72242
0.64958
0.58468
0.52679
0.47509
0.42888
11
12
0.94191
0.88745
0.83639
0.78849
0.70138
0.62460
0.55684
0.49697
0.44401
0.39711
12
13
0.93722
0.87866
0.82403
0.77303
0.68095
0.60057
0.53032
0.46884
0.41496
0.36770
13
14
0.93256
0.86996
0.81185
0.75788
0.66112
0.57748
0.50507
0.44230
0.38782
0.34046
14
15
0.92792
0.86135
0.79985
0.74301
0.64186
0.55526
0.48102
0.41727
0.36245
0.31524
13
0.92330
0.85282
0.78803
0.72845
0.62317
0.53391
0.45811
0.43630
0.39365
0.33873
0.31657
16
0.29189
16
17
0.91871
0.84438
0.77639
0.71416
0.60502
0.51337
0.37136
0.27027
17
18
0.91414
0.83602
0.76491
0.70016
0.58739
0.41552
0.25025
0.49363
0.47464
0.35034
0.29586
18
19
0.90959
0.82774
0.75361
0.68643
0.57029
0.39573
0.33051
0.27651
0.23171
19
20
0.90506
0.81954
0.74247
0.67297
0.55368
0.45639
0.37689
0.31180
0.25842
0.21455
20
21
0.90056
0.81143
0.73150
0.65978
0.53755
0.43883
0.35894
0.29416
0.24151
0.19866
21
22
0.89608
0.80340
0.72069
0.64684
0.52189
0.42196
0.34185
0.27751
0.22571
0.18394
22
23
0.89162
0.79544
0.71004
0.63416
0.50669
0.40573
0.32557
0.26180
0.21095
0.17032
23
24
0,88719
0.78757
0.69954
0.62172
0.49193
0.39012
0.31007
0.24698
0.19715
0.15770
24
25
0.88277
0.77977
0.68921
0.60953
0.47761
0.37512
0.29530
0.23300
0.18425
0.14602
25
Periods
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
Periods
0.91743
0.90909
0.90090
0.89286
0.88496
0.87719
0.86957
0.86207
0.85470
0.84746
0.84168
0.82645
0.81162
0.79719
0.78315
0.76947
0.75614
0.74316
0.73051
0.71818
2
0.77218
0.75131
0.73119
0.71178
0.69305
0.67497
0.65752
0.64066
0.62437
0.60863
3
4
0.70843
0.68301
0.65873
0.63552
0.61332
0.59208
0.57175
0.55229
0.53365
0.51579
5
0.64993
0.62092
0.59345
0.56743
0.54276
0.51937
0.49718
0.47611
0.45611
0.43711
0.59627
0.54703
0.45559
0.39964
6
0.56447
0.53464
0.50663
0.48032
0.43233
0.41044
0.38984
0.37043
0.51316
0.48166
0.45235
0.42506
0.37594
0.35383
0.33320
0.31393
8
0.50187
0.46651
0.43393
0.40388
0.37616
0.35056
0.32690
0.30503
0.28478
0.26604
8
9
0.46043
0.42410
0.39092
0.36061
0.33288
0.30751
0.28426
0.26295
0.24340
0.22546
10
0.42241
0.38554
0.35218
0.32197
0.29459
0.26974
0.24718
0.22668
0.20804
0.19106
10
0.38753
0.35049
0.31728
0.28748
0.26070
0.23662
0.21494
0.19542
0.17781
0.16192
0.13722
11
12
0.35553
0.31863
0.28584
0.25668
0.23071
0.20756
0.18691
0.16846
0.15197
12
13
0.32618
0.28966
0.25751
0.22917
0.20416
0.18207
0.16253
0.14523
0.12989
0.11629
13
14
0.29925
0.26333
0.23199
0.20462
0.18068
0.15971
0.14133
0.12520
0.11102
0.09855
14
15
0.27454
0.23939
0.20900
0.18270
0.15989
0.14010
0.12289
0.10793
0.09489
0.08352
15
0.14150
0.12522
0.1 1081
16
0.25187
0.21763
0.18829
0.16312
0.12289
0.10686
0.09304
0.08110
0.07078
16
17
0.23107
0.19784
0.16963
0.14564
0.10780
0.09293
0.08021
0.06932
0.05998
17
18
0.21199
0.17986
0.15282
0.13004
0.09456
0.08081
0.06914
0.05925
0.05083
18
19
0.19449
0.16351
0.13768
0.11611
0.09806
0.08295
0.07027
0.05961
0.05064
0.04308
19
20
0.17843
0.14864
0.12403
0.10367
0.08678
0.07276
0.06110
0.05139
0.04328
0.03651
20
0.13513
0.12285
21
0.16370
0.11174
0.09256
0.07680
0.06383
0.05313
0.04430
0.03699
0.03094
21
22
0.15018
0.10067
0.08264
0.06796
0.05599
0.04620
0.03819
0.03162
0.02622
22
23
0.13778
0.11168
0.09069
0.07379
0.06014
0.04911
0.04017
0.03292
0.02702
0.02222
23
24
0.12640
0.10153
0.08170
0.06588
0.05323
0.04308
0.03493
0.02838
0.02310
0.01883
24
25
0,11597
0.09230
0.07361
0.05882
0.04710
0.03779
0.03038
0.02447
001974
001596
25
Transcribed Image Text:Periods 2% 3% 4% 5% 6% 7% 8% Periods 0.99502 0.99010 0.98522 0.98039 0.97087 0.96154 0.95238 0.94340 0.93458 0.92593 0.99007 0.98030 0.97066 0.96117 0.94260 0.92456 0.90703 0.89000 0.87344 0.85734 2 3 0.98515 0.97059 0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 3 4 0.98025 0.96098 0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503 4 0.97537 0.95147 0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.97052 0.94205 0.91454 0.88797 0.83748 0.79031 0.74622 0.70496 0.66634 0.63017 6. 7 0.96569 0.93272 0.90103 0.87056 0.81309 0.75992 0.71068 0.66506 0.62275 0.58349 7 8 0.96089 0.92348 0.88771 0.85349 0.78941 0.73069 0.67684 0.62741 0.58201 0.54027 9 095610 0.91434 0.87459 0.83676 0.76642 0.70259 0.64461 0.59190 0.54393 0.50025 10 0.95135 0.90529 0.86167 0.82035 0.74409 0.67556 0.61391 0.55839 0.50835 0.46319 10 11 0.94661 0.89632 0.84893 0.80426 0.72242 0.64958 0.58468 0.52679 0.47509 0.42888 11 12 0.94191 0.88745 0.83639 0.78849 0.70138 0.62460 0.55684 0.49697 0.44401 0.39711 12 13 0.93722 0.87866 0.82403 0.77303 0.68095 0.60057 0.53032 0.46884 0.41496 0.36770 13 14 0.93256 0.86996 0.81185 0.75788 0.66112 0.57748 0.50507 0.44230 0.38782 0.34046 14 15 0.92792 0.86135 0.79985 0.74301 0.64186 0.55526 0.48102 0.41727 0.36245 0.31524 13 0.92330 0.85282 0.78803 0.72845 0.62317 0.53391 0.45811 0.43630 0.39365 0.33873 0.31657 16 0.29189 16 17 0.91871 0.84438 0.77639 0.71416 0.60502 0.51337 0.37136 0.27027 17 18 0.91414 0.83602 0.76491 0.70016 0.58739 0.41552 0.25025 0.49363 0.47464 0.35034 0.29586 18 19 0.90959 0.82774 0.75361 0.68643 0.57029 0.39573 0.33051 0.27651 0.23171 19 20 0.90506 0.81954 0.74247 0.67297 0.55368 0.45639 0.37689 0.31180 0.25842 0.21455 20 21 0.90056 0.81143 0.73150 0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 21 22 0.89608 0.80340 0.72069 0.64684 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 22 23 0.89162 0.79544 0.71004 0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 23 24 0,88719 0.78757 0.69954 0.62172 0.49193 0.39012 0.31007 0.24698 0.19715 0.15770 24 25 0.88277 0.77977 0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425 0.14602 25 Periods 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% Periods 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86957 0.86207 0.85470 0.84746 0.84168 0.82645 0.81162 0.79719 0.78315 0.76947 0.75614 0.74316 0.73051 0.71818 2 0.77218 0.75131 0.73119 0.71178 0.69305 0.67497 0.65752 0.64066 0.62437 0.60863 3 4 0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365 0.51579 5 0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711 0.59627 0.54703 0.45559 0.39964 6 0.56447 0.53464 0.50663 0.48032 0.43233 0.41044 0.38984 0.37043 0.51316 0.48166 0.45235 0.42506 0.37594 0.35383 0.33320 0.31393 8 0.50187 0.46651 0.43393 0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604 8 9 0.46043 0.42410 0.39092 0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546 10 0.42241 0.38554 0.35218 0.32197 0.29459 0.26974 0.24718 0.22668 0.20804 0.19106 10 0.38753 0.35049 0.31728 0.28748 0.26070 0.23662 0.21494 0.19542 0.17781 0.16192 0.13722 11 12 0.35553 0.31863 0.28584 0.25668 0.23071 0.20756 0.18691 0.16846 0.15197 12 13 0.32618 0.28966 0.25751 0.22917 0.20416 0.18207 0.16253 0.14523 0.12989 0.11629 13 14 0.29925 0.26333 0.23199 0.20462 0.18068 0.15971 0.14133 0.12520 0.11102 0.09855 14 15 0.27454 0.23939 0.20900 0.18270 0.15989 0.14010 0.12289 0.10793 0.09489 0.08352 15 0.14150 0.12522 0.1 1081 16 0.25187 0.21763 0.18829 0.16312 0.12289 0.10686 0.09304 0.08110 0.07078 16 17 0.23107 0.19784 0.16963 0.14564 0.10780 0.09293 0.08021 0.06932 0.05998 17 18 0.21199 0.17986 0.15282 0.13004 0.09456 0.08081 0.06914 0.05925 0.05083 18 19 0.19449 0.16351 0.13768 0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308 19 20 0.17843 0.14864 0.12403 0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651 20 0.13513 0.12285 21 0.16370 0.11174 0.09256 0.07680 0.06383 0.05313 0.04430 0.03699 0.03094 21 22 0.15018 0.10067 0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622 22 23 0.13778 0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222 23 24 0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883 24 25 0,11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 001974 001596 25
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