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3. future value of an ordinary annuity of 1 is...

# Question: future value of an ordinary annuity of 1 is...

Future value of an ordinary annuity of $1 ( is the number of time periods)  Table of future value interest factors interest rate per period period n 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 2.0100 2.0200 2.0300 2.0400 2.0500 2.0600 2.0700 2.0800 2.0900 2.1000 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 4 4.0604 4.1216 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 5 5.1010 5.2040 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6 6.1520 6.3081 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 7 7.2135 7.4343 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 8 8.2857 8.5830 8.8923 9.2142 9.5491 9.8975 10.2598 10.6366 11.0285 11.4359 9 9.3685 9.7546 10.1591 10.5828 11.0266 11.4913 11.9780 12.4876 13.0210 13.5795 10 10.4622 10.9497 11.4639 12.0061 12.5779 13.1808 13.8164 14.4866 15.1929 15.9374 11 11.5668 12.1687 12.8078 13.4864 14.2068 14.9716 15.7836 16.6455 17.5603 18.5312 12 12.6825 13.4121 14.1920 15.0258 15.9171 16.8699 17.8885 18.9771 20.1407 21.3843 13 13.8093 14.6803 15.6178 16.6268 17.7130 18.8821 20.1406 21.4953 22.9534 24.5227 14 14.9474 15.9739 17.0863 18.2919 19.5986 21.0151 22.5505 24.2149 26.0192 27.9750 15 16.0969 17.2934 18.5989 20.0236 21.5786 23.2760 25.1290 27.1521 29.3609 31.7725 16 17.2579 18.6393 20.1569 21.8245 23.6575 25.6725 27.8881 30.3243 33.0034 35.9497 17 18.4304 20.0121 21.7616 23.6975 25.8404 28.2129 30.8402 33.7502 36.9737 40.5447 18 19.6147 21.4123 23.4144 25.6454 28.1324 30.9057 33.9990 37.4502 41.3013 45.5992 19 20.8109 22.8406 25.1169 27.6712 30.5390 33.7600 37.3790 41.4463 46.0185 51.1591 20 22.0190 24.2974 26.8704 29.7781 33.0660 36.7856 40.9955 45.7620 51.1601 57.2750 21 23.2392 25.7833 28.6765 31.9692 35.7193 39.9927 44.8652 50.4229 56.7645 64.0025 22 24.4716 27.2990 30.5368 34.2480 38.5052 43.3923 49.0057 55.4568 62.8733 71.4027 23 25.7163 28.8450 32.4529 36.6179 41.4305 46.9958 53.4361 60.8933 69.5319 79.5430 24 26.9735 30.4219 34.4265 39.0826 44.5020 50.8156 58.1767 66.7648 76.7898 88.4973 25 28.2432 32.0303 36.4593 41.6459 47.7271 54.8645 63.2490 73.1059 84.7009 98.3471 26 29.5256 33.6709 38.5530 44.3117 51.1135 59.1564 68.6765 79.9544 93.3240 109.1818 27 30.8209 35.3443 40.7096 47.0842 54.6691 63.7058 74.4838 87.3508 102.7231 121.0999 28 32.1291 37.0512 42.9309 49.9676 58.4026 68.5281 80.6977 95.3388 112.9682 134.2099 29 33.4504 38.7922 45.2189 52.9663 62.3227 73.6398 87.3465 103.9659 124.1354 148.6309 30 34.7849 40.5681 47.5754 56.0849 66.4388 79.0582 94.4608 113.2832 136.3075 164.4940 31 36.1327 42.3794 50.0027 59.3283 70.7608 84.8017 102.0730 123.3459 149.5752 181.9434 32 37.4941 44.2270 52.5028 62.7015 75.2988 90.8898 110.2182 134.2135 164.0370 201.1378 33 38.8690 46.1116 55.0778 66.2095 80.0638 97.3432 118.9334 145.9506 179.8003 222.2515 34 40.2577 48.0338 57.7302 69.8579 85.0670 104.1838 128.2588 158.6267 196.9823 245.4767 35 41.6603 49.9945 60.4621 73.6522 90.3203 111.4348 138.2369 172.3168 215.7108 271.0244 36 43.0769 51.9944 63.2759 77.5983 95.8363 119.1209 148.9135 187.1021 236.1247 299.1268 37 44.5076 54.0343 66.1742 81.7022 101.6281 127.2681 160.3374 203.0703 258.3759 330.0395 38 45.9527 56.1149 69.1594 85.9703 107.7095 135.9042 172.5610 220.3159 282.6298 364.0434 39 47.4123 58.2372 72.2342 90.4091 114.0950 145.0585 185.6403 238.9412 309.0665 401.4478 40 48.8864 60.4020 75.4013 95.0255 120.7998 154.7620 199.6351 259.0565 337.8824 442.5926 ## Section A: Loans and Annuities 1. Mr and Mrs Tweed borrow$450 000 to buy a house. The loan is at 9% p.a. reducible interest and the monthly repayment is $3775.50. a) Copy and complete the table showing the progress of Mr and Mrs Tweed’s loan for the first 3 months.  Month Principal (P) Interest (I) P + I P + IR 1$450 000 $3375 2 3 b) After three months, how much have Mr and Mrs Tweed paid off the principal of their loan? For the following question use the table attached at the end of this assignment. 2. Hamish invests$3000 at the end of every quarter for the next 7 years into an account with interest calculated at 8% p.a. compounded quarterly.

a)    Convert the interest rate of 8% p.a. to an interest rate per quarter.

b)    How many quarters are there in 7 years?

c)    Use the table at the end of the assignment to find the future value of this annuity at the end of 7 years.

3.       Yousef has a credit card that has no annual fees and charges a flat rate of 19.75% p.a. interest on all purchases. If interest is charged from the day of purchase, what is the interest charged on purchases totalling \$3125 for 28 days? (Answer to the nearest cent.)