Ken Francis is offered the possibility of investing $7,743 today; in return, he would receive $19,500 after 12 years. What is the annual rate of interest for this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your "PV of a single amount" to 4 decimal places and percentage answer to the nearest whole number.) Present Value Future Value P (PV of a Single Interest Rate Amount) % Table B.1* Present Value of 1 p = 1 / (1 + i)" Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% Periods 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 1 2 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.7972 0.7561 2 3 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.6575 3 4 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.5718 4 5 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.4972 5 6 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.4323 6 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.3759 7 8 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.3269 8 9 0.9143 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 0.4241 0.3606 0.2843 9 10 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 0.2472 10 11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.2875 0.2149 11 12 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2567 0.1869 12 13 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2292 0.1625 13 14 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2046 0.1413 14 15 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.1827 0.1229 15 16 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 16 17 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1456 0.0929 17 18 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1300 0.0808 18 19 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1161 0.0703 19 20 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1037 0.0611 20 25 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.0923 0.0588 0.0304 25 30 0.7419 0.5521 0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.0573 0.0334 0.0151 30 35 0.7059 0.5000 0.3554 0.2534 0.1813 0.1301 0.0937 0.0676 0.0490 0.0356 0.0189 0.0075 35 40 0.6717 0.4529 0.3066 0.2083 0.1420 0.0972 0.0668 0.0460 0.0318 0.0221 0.0107 0.0037 40 *Used to compute the present value of a known future amount. For example: How much would you need to invest today at 10% compounded semiannually to accumulate $5,000 in 6 years from today? Using rate of 5%), the factor is 0.5568. You would need to invest $2,784 today ($5,000 0.5568). Table B.2 Future Value of 1 f=(1+i)" Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% Periods 0 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 1 1.0100 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 1.0800 1.0900 1.1000 1.1200 1.1500 1 2 1.0201 1.0404 1.0609 1.0816 1.1025 1.1236 1.1449 1.1664 1.1881 1.2100 1.2544 1.3225 2 3 1.0303 1.0612 1.0927 1.1249 1.1576 1.1910 1.2250 1.2597 1.2950 1.3310 1.4049 1.5209 3 4 1.0406 1.0824 1.1255 1.1699 1.2155 1.2625 1.3108 1.3605 1.4116 1.4641 1.5735 1.7490 4 5 1.0510 1.1041 1.1593 1.2167 1.2763 1.3382 1.4026 1.4693 1.5386 1.6105 1.7623 2.0114 5 6 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.7716 1.9738 2.3131 6 7 1.0721 1.1487 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 1.8280 1.9487 2.2107 2.6600 7 8 1.0829 1.1717 1.2668 1.3686 1.4775 1.5938 1.7182 1.8509 1.9926 2.1436 2.4760 3.0590 8 9 1.0937 1.1951 1.3048 1.4233 1.5513 1.6895 1.8385 1.9990 2.1719 2.3579 2.7731 3.5179 9 10 1.1046 1.2190 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 4.0456 10 11 1.1157 1.2434 1.3842 1.5395 1.7103 1.8983 2.1049 2.3316 2.5804 2.8531 3.4785 4.6524 11 12 1.1268 1.2682 1.4258 1.6010 1.7959 2.0122 2.2522 2.5182 2.8127 3.1384 3.8960 5.3503 12 13 1.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.4523 4.3635 6.1528 13 14 1.1495 1.3195 1.5126 1.7317 1.9799 2.2609 2.5785 2.9372 3.3417 3.7975 4.8871 7.0757 14 15 1.1610 1.3459 1.5580 1.8009 2.0789 2.3966 2.7590 3.1722 3.6425 4.1772 5.4736 8.1371 15 16 1.1726 1.3728 1.6047 1.8730 2.1829 2.5404 2.9522 3.4259 3.9703 4.5950 6.1304 9.3576 16 17 1.1843 1.4002 1.6528 1.9479 2.2920 2.6928 3.1588 3.7000 4.3276 5.0545 6.8660 10.7613 17 18 1.1961 1.4282 1.7024 2.0258 2.4066 2.8543 3.3799 3.9960 4.7171 5.5599 7.6900 12.3755 18 19 1.2081 1.4568 1.7535 2.1068 2.5270 3.0256 3.6165 4.3157 5.1417 6.1159 8.6128 14.2318 19 20 1.2202 1.4859 1.8061 2.1911 2.6533 3.2071 3.8697 4.6610 5.6044 6.7275 9.6463 16.3665 20 25 1.2824 1.6406 2.0938 2.6658 3.3864 4.2919 5.4274 6.8485 8.6231 10.8347 17.0001 32.9190 25 30 1.3478 1.8114 2.4273 3.2434 4.3219 5.7435 7.6123 10.0627 13.2677 35 1.4166 1.9999 2.8139 3.9461 5.5160 7.6861 10.6766 14.7853 17.4494 20.4140 28.1024 40 1.4889 2.2080 3.2620 4.8010 7.0400 10.2857 14.9745 21.7245 31.4094 45.2593 29.9599 66.2118 52.7996 133.1755 93.0510 267.8635 30 35 40 Table B.3 Present Value of an Annuity of 1 p = [1 - 1/(1+i)"]/i Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% Periods 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 2 1.9704 1.9416 1.9135 1.8861 1.8594 1.8334 1.8080 1.7833 1.7591 3 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 4 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 5 4.8534 4.7135 4.5797 4.4518 4.3295 4.2124 4.1002 3.9927 3.8897 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 0-2334 0.9091 0.8929 0.8696 1 1.7355 1.6901 1.6257 2 2.4869 2.4018 2.2832 3 3.1699 3.0373 2.8550 4 3.7908 3.6048 3.3522 5 4.3553 4.1114 3.7845 6 7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 5.2064 5.0330 4.8684 4.5638 4.1604 7 8 7.6517 7.3255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 4.4873 8 9 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.3282 4.7716 9 10 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 5.0188 10 11 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 5.9377 5.2337 11 12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.1944 5.4206 12 13 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.4235 5.5831 13 14 13.0037 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.6282 5.7245 14 15 13.8651 12.8493 11.9379 11.1184 10.3797 9.7122 9.1079 8.5595 8.0607 7.6061 6.8109 5.8474 15 16 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 6.9740 5.9542 16 17 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.1196 6.0472 17 18 16.3983 19 17.2260 20 18.0456 25 22.0232 19.5235 30 25.8077 22.3965 35 29.4086 24.9986 21.4872 40 32.8347 27.3555 23.1148 14.9920 13.7535 12.6593 15.6785 14.3238 13.1339 12.0853 11.1581 16.3514 14.8775 13.5903 12.4622 11.4699 17.4131 15.6221 14.0939 12.7834 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 18.6646 16.3742 14.4982 12.9477 11.6546 19.7928 17.1591 15.0463 13.3317 11.9246 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.2497 6.1280 18 10.3356 9.6036 8.9501 8.3649 7.3658 6.1982 19 10.5940 9.8181 9.1285 8.5136 7.4694 6.2593 20 11.6536 10.6748 9.8226 9.0770 7.8431 6.4641 25 10.2737 9.4269 8.0552 6.5660 30 10.5668 9.6442 8.1755 6.6166 35 10.7574 9.7791 8.2438 6.6418 40 Table B.4Future Value of an Annuity of 1 f = [(1 + i)" - 1]/i Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% Periods 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1 2 2.0100 2.0200 2.0300 2.0400 2.0500 2.0600 2.0700 2.0800 2.0900 2.1000 2.1200 2.1500 2 3 3.0301 3.0604 3.0909 3.1216 3.1525 3.1836 3.2149 3.2464 3.2781 3.3100 3.3744 3.4725 3 4 4.0604 4.1216 4.1836 4.2465 4.3101 4.3746 4.4399 4.5061 4.5731 4.6410 4.7793 4.9934 4 5 5.1010 5.2040 5.3091 5.4163 5.5256 5.6371 5.7507 5.8666 5.9847 6.1051 6.3528 6.7424 5 6 6.1520 6.3081 6.4684 6.6330 6.8019 6.9753 7.1533 7.3359 7.5233 7.7156 8.1152 8.7537 6 7 7.2135 7.4343 7.6625 7.8983 8.1420 8.3938 8.6540 8.9228 9.2004 9.4872 10.0890 11.0668 7 8 8.2857 8.5830 8.8923 9.2142 9.5491 9.8975 10.2598 10.6366 11.0285 11.4359 12.2997 13.7268 8 9 9.3685 9.7546 10.1591 10.5828 11.0266 11.4913 11.9780 12.4876 13.0210 13.5795 14.7757 16.7858 9 10 10.4622 10.9497 11.4639 12.0061 12.5779 13.1808 11 11.5668 12.1687 12.8078 13.4864 14.2068 14.9716 12 12.6825 13 13.8093 13.4121 14.1920 14.6803 15.0258 15.9171 14 14.9474 15 16.0969 16 17 18 21.4123 23.4144 15.6178 16.6268 15.9739 17.0863 18.2919 17.2934 18.5989 20.0236 17.2579 18.6393 20.1569 21.8245 18.4304 20.0121 21.7616 23.6975 19.6147 25.6454 17.7130 19.5986 30.9057 23.6575 25.6725 27.8881 30.3243 25.8404 33.7502 28.1324 28.2129 30.8402 19 20.8109 22.8406 25.1169 27.6712 30.5390 33.7600 20 22.0190 24.2974 26.8704 29.7781 33.0660 36.7856 25 30 35 40 14.4866 15.1929 15.9374 17.5487 20.3037 15.7836 16.6455 17.5603 18.5312 20.6546 24.3493 16.8699 17.8885 18.9771 20.1407 21.3843 24.1331 29.0017 18.8821 20.1406 21.4953 22.9534 24.5227 28.0291 34.3519 21.0151 22.5505 24.2149 26.0192 27.9750 32.3926 40.5047 21.5786 23.2760 25.1290 27.1521 29.3609 31.7725 37.2797 47.5804 33.0034 35.9497 42.7533 36.9737 40.5447 48.8837 45.5992 46.0185 51.1591 63.4397 88.2118 51.1601 57.2750 72.0524 102.4436 28.2432 32.0303 36.4593 41.6459 47.7271 54.8645 63.2490 73.1059 84.7009 98.3471 133.3339 212.7930 34.7849 40.5681 47.5754 56.0849 66.4388 79.0582 94.4608 113.2832 136.3075 164.4940 241.3327 434.7451 41.6603 49.9945 60.4621 73.6522 90.3203 111.4348 138.2369 172.3168 215.7108 271.0244 431.6635 881.1702 48.8864 60.4020 75.4013 95.0255 120.7998 154.7620 199.6351 259.0565 337.8824 13.8164 10 11 12 13 14 15 55.7175 16 65.0751 17 33.9990 37.4502 41.3013 55.7497 75.8364 18 37.3790 41.4463 19 40.9955 45.7620 20 25 30 35 442.5926 767.0914 1,779.0903 40