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

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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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

Periods	1%	2%	3%	4%	6%	8%
Rate per period
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