What semiannual sinking fund payment would be required to yield $49,000 seven years from now? The annual interest rate is 4% compounded semiannually. (Round to the nearest cent as needed.) $1.00 Sinking Fund Payments Rate per period Periods 1% 2% 3% 4% 6% 8% 1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 2 0.4975124 0.4950495 0.4926108 0.4901961 0.4854369 0.4807692 3 0.3300221 0.3267547 0.3235304 0.3203485 0.3141098 0.3080335 4 0.2462811 0.2426238 0.2390270 0.2354900 0.2285915 0.2219208 5 0.1960398 0.1921584 0.1883546 0.1846271 0.1773964 0.1704565 6 0.1625484 0.1585258 0.1545975 0.1507619 0.1433626 0.1363154 7 0.1386283 0.1345120 0.1305064 0.1266096 0.1191350 0.1120724 8 0.1206903 0.1165098 0.1124564 0.1085278 0.1010359 0.0940148 9 0.1067404 0.1025154 0.0984339 0.0944930 0.0870222 0.0800797 10 0.0955821 0.0913265 0.0872305 0.0832909 0.0758680 0.0690295 11 0.0864541 0.0821779 0.0780774 0.0741490 0.0667929 0.0600763 12 0.0788488 0.0745596 0.0704621 0.0665522 0.0592770 0.0526950 13 0.0724148 0.0681184 0.0670295 0.0601437 0.0529601 0.0465218 14 0.0669012 0.0626020 0.0585263 0.0546690 0.0475849 0.0412969 15 0.0621238 0.0578255 0.0537666 0.0499411 0.0429628 0.0368295 16 0.0579446 0.0536501 0.0496108 0.0458200 0.0389521 0.0329769 17 0.0542581 0.0499698 0.0459525 0.0421985 0.0354448 0.0296294 18 0.0509820 0.0467021 0.0427087 0.0389933 0.0323565 0.0267021 19 0.0480518 0.0437818 0.0398139 0.0361386 0.0296209 0.0241276 20 0.0454153 0.0411567 0.0372157 0.0335818 0.0271846 0.0218522 25 0.0354068 0.0312204 0.0274279 0.0240120 0.0182267 0.0136788 30 0.0287481 0.0246499 0.0210193 0.0178301 0.0126489 0.0088274 40 0.0204556 0.0165558 0.0132624 0.0105235 0.0064615 0.0038602 50 0.0155127 0.0118232 0.0088655 0.0065502 0.0034443 0.0017429
What semiannual sinking fund payment would be required to yield $49,000 seven years from now? The annual interest rate is 4% compounded semiannually. (Round to the nearest cent as needed.) $1.00 Sinking Fund Payments Rate per period Periods 1% 2% 3% 4% 6% 8% 1 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 2 0.4975124 0.4950495 0.4926108 0.4901961 0.4854369 0.4807692 3 0.3300221 0.3267547 0.3235304 0.3203485 0.3141098 0.3080335 4 0.2462811 0.2426238 0.2390270 0.2354900 0.2285915 0.2219208 5 0.1960398 0.1921584 0.1883546 0.1846271 0.1773964 0.1704565 6 0.1625484 0.1585258 0.1545975 0.1507619 0.1433626 0.1363154 7 0.1386283 0.1345120 0.1305064 0.1266096 0.1191350 0.1120724 8 0.1206903 0.1165098 0.1124564 0.1085278 0.1010359 0.0940148 9 0.1067404 0.1025154 0.0984339 0.0944930 0.0870222 0.0800797 10 0.0955821 0.0913265 0.0872305 0.0832909 0.0758680 0.0690295 11 0.0864541 0.0821779 0.0780774 0.0741490 0.0667929 0.0600763 12 0.0788488 0.0745596 0.0704621 0.0665522 0.0592770 0.0526950 13 0.0724148 0.0681184 0.0670295 0.0601437 0.0529601 0.0465218 14 0.0669012 0.0626020 0.0585263 0.0546690 0.0475849 0.0412969 15 0.0621238 0.0578255 0.0537666 0.0499411 0.0429628 0.0368295 16 0.0579446 0.0536501 0.0496108 0.0458200 0.0389521 0.0329769 17 0.0542581 0.0499698 0.0459525 0.0421985 0.0354448 0.0296294 18 0.0509820 0.0467021 0.0427087 0.0389933 0.0323565 0.0267021 19 0.0480518 0.0437818 0.0398139 0.0361386 0.0296209 0.0241276 20 0.0454153 0.0411567 0.0372157 0.0335818 0.0271846 0.0218522 25 0.0354068 0.0312204 0.0274279 0.0240120 0.0182267 0.0136788 30 0.0287481 0.0246499 0.0210193 0.0178301 0.0126489 0.0088274 40 0.0204556 0.0165558 0.0132624 0.0105235 0.0064615 0.0038602 50 0.0155127 0.0118232 0.0088655 0.0065502 0.0034443 0.0017429
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 56SE: To get the best loan rates available, the Riches want to save enough money to place 20% down on a...
Related questions
Question
What semiannual sinking fund payment would be required to yield $49,000 seven years from now? The annual interest rate is 4% compounded semiannually. (Round to the nearest cent as needed.)
$1.00 Sinking Fund Payments
Rate per period
|
||||||
Periods
|
1%
|
2%
|
3%
|
4%
|
6%
|
8%
|
---|---|---|---|---|---|---|
1
|
1.0000000
|
1.0000000
|
1.0000000
|
1.0000000
|
1.0000000
|
1.0000000
|
2
|
0.4975124
|
0.4950495
|
0.4926108
|
0.4901961
|
0.4854369
|
0.4807692
|
3
|
0.3300221
|
0.3267547
|
0.3235304
|
0.3203485
|
0.3141098
|
0.3080335
|
4
|
0.2462811
|
0.2426238
|
0.2390270
|
0.2354900
|
0.2285915
|
0.2219208
|
5
|
0.1960398
|
0.1921584
|
0.1883546
|
0.1846271
|
0.1773964
|
0.1704565
|
6
|
0.1625484
|
0.1585258
|
0.1545975
|
0.1507619
|
0.1433626
|
0.1363154
|
7
|
0.1386283
|
0.1345120
|
0.1305064
|
0.1266096
|
0.1191350
|
0.1120724
|
8
|
0.1206903
|
0.1165098
|
0.1124564
|
0.1085278
|
0.1010359
|
0.0940148
|
9
|
0.1067404
|
0.1025154
|
0.0984339
|
0.0944930
|
0.0870222
|
0.0800797
|
10
|
0.0955821
|
0.0913265
|
0.0872305
|
0.0832909
|
0.0758680
|
0.0690295
|
11
|
0.0864541
|
0.0821779
|
0.0780774
|
0.0741490
|
0.0667929
|
0.0600763
|
12
|
0.0788488
|
0.0745596
|
0.0704621
|
0.0665522
|
0.0592770
|
0.0526950
|
13
|
0.0724148
|
0.0681184
|
0.0670295
|
0.0601437
|
0.0529601
|
0.0465218
|
14
|
0.0669012
|
0.0626020
|
0.0585263
|
0.0546690
|
0.0475849
|
0.0412969
|
15
|
0.0621238
|
0.0578255
|
0.0537666
|
0.0499411
|
0.0429628
|
0.0368295
|
16
|
0.0579446
|
0.0536501
|
0.0496108
|
0.0458200
|
0.0389521
|
0.0329769
|
17
|
0.0542581
|
0.0499698
|
0.0459525
|
0.0421985
|
0.0354448
|
0.0296294
|
18
|
0.0509820
|
0.0467021
|
0.0427087
|
0.0389933
|
0.0323565
|
0.0267021
|
19
|
0.0480518
|
0.0437818
|
0.0398139
|
0.0361386
|
0.0296209
|
0.0241276
|
20
|
0.0454153
|
0.0411567
|
0.0372157
|
0.0335818
|
0.0271846
|
0.0218522
|
25
|
0.0354068
|
0.0312204
|
0.0274279
|
0.0240120
|
0.0182267
|
0.0136788
|
30
|
0.0287481
|
0.0246499
|
0.0210193
|
0.0178301
|
0.0126489
|
0.0088274
|
40
|
0.0204556
|
0.0165558
|
0.0132624
|
0.0105235
|
0.0064615
|
0.0038602
|
50
|
0.0155127
|
0.0118232
|
0.0088655
|
0.0065502
|
0.0034443
|
0.0017429
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you