Solve by using the present value formula. Round your answers (in $) to the nearest cent. Compound Amount $12,000 Term of Investment 8 years Nominal Rate (%) 4.5 Interest Compounded monthly Present Value Compound Interest

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Periods
1
2
3
4
5
6
Prag HDINS DE 2
7
12
14
19
20
21
22
23
24
25
0.99502
0.99007 0.98030
0.98515 0.97059
0.98025 0.96098
0.97537 0.95147
0.97052
0.96569
0.96089
0.95610
0.95135
1%
1/1/%
2%
0.99010 0.98522 0.98039
0.90056
0.89608
0.89162
0.94205
0.93272
0.92348
0.91434
0.90529
0.94661 0.89632
0.84893 0.80426
0.94191 0.88745 0.83639 0.78849
0.93722 0.87866 0.82403 0.77303
0.93256 0.86996 0.81185 0.75788
0.92792 0.86135 0.79985 0.74301
0.92330
0.91871 0.84438
0.85282 0.78803
0.77639
0.83602 0.76491
0.90959 0.82774 0.75361
0.91414
0.90506
0.81954 0.74247
3%
4%
5%
6%
7%
8%
0.93458 0.92593
0.97087 0.96154
0.94260 0.92456
0.95238 0.94340
0.97066 0.96117
0.90703 0.89000 0.87344 0.85734
0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383
0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503
0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058
0.91454
0.88797 0.83748
0.90103
0.87056
0.88771
0.85349
0.87459
0.83676
0.86167 0.82035
0.59627 0.56447
0.54703 0.51316
0.50187 0.46651
0.46043 0.42410
0.42241 0.38554
0.16370
0.15018
0.81143 0.73150
0.80340
0.72069
0.79544
0.71004
0.88719 0.78757 0.69954
0.88277 0.77977
0.38753 0.35049
0.35553 0.31863
0.32618 0.28966
0.29925 0.26333
0.27454 0.23939
0.25187 0.21763
0.23107 0.19784
0.21199 0.17986
0.19449 0.16351
0.17843
0.14864
0.72845
0.71416
0.53464
0.48166
0.43393
0.39092
0.35218
0.70016
0.68643
0.67297
0.18829
0.16963
0.15282
0.13768
0.12403
0.81309 0.75992
0.78941 0.73069
0.76642
0.74409 0.67556
0.72242 0.64958
0.70138
0.68095 0.60057 0.53032
0.66112 0.57748 0.50507
0.64186 0.55526 0.48102
0.62317
0.60502
0.79031 0.74622 0.70496
0.71068 0.66506
0.67684 0.62741
0.70259 0.64461 0.59190
0.61391 0.55839
0.53391
0.51337
0.58739
0.49363 0.41552
0.57029 0.47464
0.55368 0.45639 0.37689
0.58468 0.52679
0.62460 0.55684 0.49697
0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866
0.64684 0.52189 0.42196 0.34185 0.27751
0.22571
0.18394
0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032
0.62172 0.49193 0.39012 0.31007 0.24698 0.19715
0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425
15%
0.86957
0.75614
0.65752
9%
10%
11%
12%
13%
14%
16%
17%
18%
0.91743 0.90909 0.90090 0.89286 0.88496 0.87719
0.86207 0.85470 0.84746
0.84168 0.82645 0.81162 0.79719 0.78315 0.76947
0.74316 0.73051 0.71818
0.77218 0.75131 0.73119 0.71178 0.69305 0.67497
0.64066 0.62437 0.60863
0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365
0.51579
0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711
0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043
0.45235 0.42506 0.39964 0.37594 0.35383
0.33320
0.31393
0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604
0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546
0.32197 0.29459 0.26974 0.24718 0.22668
0.20804
0.31728 0.28748 0.26070 0.23662 0.21494
0.28584 0.25668 0.23071 0.20756 0.18691
0.25751 0.22917 0.20416 0.18207 0.16253
0.23199 0.20462 0.18068 0.15971 0.14133
0.20900 0.18270 0.15989 0.14010 0.12289
0.19106
The values in Table 11-2 were generated by the formula PV =
n is the total number of periods.
0.45811
0.43630
1
(1 + i)"
0.47509 0.42888
0.44401 0.39711
0.46884 0.41496 0.36770
0.44230 0.38782 0.34046
0.41727
0.36245
0.31524
0.66634 0.63017
0.62275 0.58349
0.58201 0.54027
0.54393 0.50025
0.50835 0.46319
0.39365 0.33873 0.29189
0.37136 0.31657 0.27027
0.29586 0.25025
0.27651 0.23171
0.25842 0.21455
0.35034
0.39573 0.33051
0.31180
0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078
0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998
0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083
0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308
0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651
0.09256 0.07680 0.06383
0.05313 0.04430 0.03699 0.03094
0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622
0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222
0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883
0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974
0.01596
0.13513
0.11174
0.12285
0.10067
0.13778
0.15770
0.14602
0.19542 0.17781 0.16192
0.16846 0.15197 0.13722
0.14523 0.12989 0.11629
0.12520 0.11102 0.09855
0.10793 0.09489 0.08352
Periods
1
2
3
4
5
6
7
8
9
10
HDDHD 95%98
18
21
25
Periods
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
rounded to five decimal places, where i is the interest rate per period and
Transcribed Image Text:Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Periods 1 2 3 4 5 6 Prag HDINS DE 2 7 12 14 19 20 21 22 23 24 25 0.99502 0.99007 0.98030 0.98515 0.97059 0.98025 0.96098 0.97537 0.95147 0.97052 0.96569 0.96089 0.95610 0.95135 1% 1/1/% 2% 0.99010 0.98522 0.98039 0.90056 0.89608 0.89162 0.94205 0.93272 0.92348 0.91434 0.90529 0.94661 0.89632 0.84893 0.80426 0.94191 0.88745 0.83639 0.78849 0.93722 0.87866 0.82403 0.77303 0.93256 0.86996 0.81185 0.75788 0.92792 0.86135 0.79985 0.74301 0.92330 0.91871 0.84438 0.85282 0.78803 0.77639 0.83602 0.76491 0.90959 0.82774 0.75361 0.91414 0.90506 0.81954 0.74247 3% 4% 5% 6% 7% 8% 0.93458 0.92593 0.97087 0.96154 0.94260 0.92456 0.95238 0.94340 0.97066 0.96117 0.90703 0.89000 0.87344 0.85734 0.95632 0.94232 0.91514 0.88900 0.86384 0.83962 0.81630 0.79383 0.94218 0.92385 0.88849 0.85480 0.82270 0.79209 0.76290 0.73503 0.92826 0.90573 0.86261 0.82193 0.78353 0.74726 0.71299 0.68058 0.91454 0.88797 0.83748 0.90103 0.87056 0.88771 0.85349 0.87459 0.83676 0.86167 0.82035 0.59627 0.56447 0.54703 0.51316 0.50187 0.46651 0.46043 0.42410 0.42241 0.38554 0.16370 0.15018 0.81143 0.73150 0.80340 0.72069 0.79544 0.71004 0.88719 0.78757 0.69954 0.88277 0.77977 0.38753 0.35049 0.35553 0.31863 0.32618 0.28966 0.29925 0.26333 0.27454 0.23939 0.25187 0.21763 0.23107 0.19784 0.21199 0.17986 0.19449 0.16351 0.17843 0.14864 0.72845 0.71416 0.53464 0.48166 0.43393 0.39092 0.35218 0.70016 0.68643 0.67297 0.18829 0.16963 0.15282 0.13768 0.12403 0.81309 0.75992 0.78941 0.73069 0.76642 0.74409 0.67556 0.72242 0.64958 0.70138 0.68095 0.60057 0.53032 0.66112 0.57748 0.50507 0.64186 0.55526 0.48102 0.62317 0.60502 0.79031 0.74622 0.70496 0.71068 0.66506 0.67684 0.62741 0.70259 0.64461 0.59190 0.61391 0.55839 0.53391 0.51337 0.58739 0.49363 0.41552 0.57029 0.47464 0.55368 0.45639 0.37689 0.58468 0.52679 0.62460 0.55684 0.49697 0.65978 0.53755 0.43883 0.35894 0.29416 0.24151 0.19866 0.64684 0.52189 0.42196 0.34185 0.27751 0.22571 0.18394 0.63416 0.50669 0.40573 0.32557 0.26180 0.21095 0.17032 0.62172 0.49193 0.39012 0.31007 0.24698 0.19715 0.68921 0.60953 0.47761 0.37512 0.29530 0.23300 0.18425 15% 0.86957 0.75614 0.65752 9% 10% 11% 12% 13% 14% 16% 17% 18% 0.91743 0.90909 0.90090 0.89286 0.88496 0.87719 0.86207 0.85470 0.84746 0.84168 0.82645 0.81162 0.79719 0.78315 0.76947 0.74316 0.73051 0.71818 0.77218 0.75131 0.73119 0.71178 0.69305 0.67497 0.64066 0.62437 0.60863 0.70843 0.68301 0.65873 0.63552 0.61332 0.59208 0.57175 0.55229 0.53365 0.51579 0.64993 0.62092 0.59345 0.56743 0.54276 0.51937 0.49718 0.47611 0.45611 0.43711 0.50663 0.48032 0.45559 0.43233 0.41044 0.38984 0.37043 0.45235 0.42506 0.39964 0.37594 0.35383 0.33320 0.31393 0.40388 0.37616 0.35056 0.32690 0.30503 0.28478 0.26604 0.36061 0.33288 0.30751 0.28426 0.26295 0.24340 0.22546 0.32197 0.29459 0.26974 0.24718 0.22668 0.20804 0.31728 0.28748 0.26070 0.23662 0.21494 0.28584 0.25668 0.23071 0.20756 0.18691 0.25751 0.22917 0.20416 0.18207 0.16253 0.23199 0.20462 0.18068 0.15971 0.14133 0.20900 0.18270 0.15989 0.14010 0.12289 0.19106 The values in Table 11-2 were generated by the formula PV = n is the total number of periods. 0.45811 0.43630 1 (1 + i)" 0.47509 0.42888 0.44401 0.39711 0.46884 0.41496 0.36770 0.44230 0.38782 0.34046 0.41727 0.36245 0.31524 0.66634 0.63017 0.62275 0.58349 0.58201 0.54027 0.54393 0.50025 0.50835 0.46319 0.39365 0.33873 0.29189 0.37136 0.31657 0.27027 0.29586 0.25025 0.27651 0.23171 0.25842 0.21455 0.35034 0.39573 0.33051 0.31180 0.16312 0.14150 0.12289 0.10686 0.09304 0.08110 0.07078 0.14564 0.12522 0.10780 0.09293 0.08021 0.06932 0.05998 0.13004 0.11081 0.09456 0.08081 0.06914 0.05925 0.05083 0.11611 0.09806 0.08295 0.07027 0.05961 0.05064 0.04308 0.10367 0.08678 0.07276 0.06110 0.05139 0.04328 0.03651 0.09256 0.07680 0.06383 0.05313 0.04430 0.03699 0.03094 0.08264 0.06796 0.05599 0.04620 0.03819 0.03162 0.02622 0.11168 0.09069 0.07379 0.06014 0.04911 0.04017 0.03292 0.02702 0.02222 0.12640 0.10153 0.08170 0.06588 0.05323 0.04308 0.03493 0.02838 0.02310 0.01883 0.11597 0.09230 0.07361 0.05882 0.04710 0.03779 0.03038 0.02447 0.01974 0.01596 0.13513 0.11174 0.12285 0.10067 0.13778 0.15770 0.14602 0.19542 0.17781 0.16192 0.16846 0.15197 0.13722 0.14523 0.12989 0.11629 0.12520 0.11102 0.09855 0.10793 0.09489 0.08352 Periods 1 2 3 4 5 6 7 8 9 10 HDDHD 95%98 18 21 25 Periods 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 rounded to five decimal places, where i is the interest rate per period and
Solve by using the present value formula. Round your answers (in $) to the nearest cent.
Compound
Amount
$12,000
Term of
Investment
8 years
Nominal
Rate (%)
4.5
Interest
Compounded
monthly
Present
Value
Compound
Interest
Transcribed Image Text:Solve by using the present value formula. Round your answers (in $) to the nearest cent. Compound Amount $12,000 Term of Investment 8 years Nominal Rate (%) 4.5 Interest Compounded monthly Present Value Compound Interest
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