TABLE B.3 Present Value of an Annuity of 1 Perlods 1% 2% 4% 5% 6% 7% 8% 9% 10% 12% 15% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 1.9704 1.9416 1.9135 1.88611.8594 1.8334 8080 1.7833 1.759 .7355 16901 1.6257 2.9410 2.8839 2.8286 2.7751 2.7232 2.6730 2.6243 2.5771 2.5313 2.4869 2.4018 2.2832 3.9020 3.8077 3.7171 3.6299 3.5460 3.4651 3.3872 3.3121 3.2397 3.1699 3.0373 2.8550 4.1002 3.9927 3.8897 3.7908 3.6048 3.3522 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 4.3553 4.1114 3.7845 5.2064 5.0330 4.8684 4.5638 4.1604 7.6517 7.3255 7.0197 6.73276.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 4.4873 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.3282 4.7716 9.4713 8.9826 8.5302 8.1109 7.7217 7.3601 7.0236 6.7101 6.4177 6.1446 5.6502 5.0188 10.3676 9.7868 9.2526 8.7605 8.3064 7.8869 7.4987 7.1390 6.8052 6.4951 5.9377 5.2337 11.255 10.5753 9.95409.3851 8.8633 8.3838 7.9427 7.5361 7.1607 6.8137 6.1944 5.4206 12.1337 11.3484 10.6350 9.9856 9.3936 8.8527 8.3577 7.9038 7.4869 7.1034 6.4235 5.5831 13.0037 12.1062 11.2961 10.5631 9.8986 9.2950 8.7455 8.2442 7.7862 7.3667 6.6282 5.7245 13.8651 .8493 11.9379 11.1184 10.3797 9.7122 9.10798.5595 8.0607 7.6061 6.8109 5.8474 14.7179 13.5777 12.5611 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 7.8237 6.9740 5.9542 15.5623 14.2919 13.1661 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 8.0216 7.1196 6.0472 16.3983 14.9920 13.7535 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 8.2014 7.2497 6.1280 17.2260 15.6785 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 8.3649 7.3658 6.1982 18.0456 16.3514 14.8775 13.5903 12.4622 11.4699 10.5940 9.8181 9.1285 8.5136 7.4694 6.2593 22.0232 19.5235 17.4131 15.6221 14.0939 12.7834 1105:35 106748 9822 90170 7:813: 434 25.8077 22.3965 19.6004 17.2920 15.3725 13.7648 12.4090 11.2578 10.2737 9.4269 8.0552 6.5660 29.4086 24.9986 21.4872 18.6646 16.3742 14.4982 12.947711.6546 10.5668 9.6442 8.1755 6.6166 32.8347 27.3555 23.1148 19.7928 17.1591 15.0463 13.3317 11.9246 10.7574 9.7791 8.2438 6.6418 4.8534 4.7135 4.57974.4518 4.3295 4.2124 7 6.7282 6.4720 6.2303 6.0021 5.7864 5.5824 5.3893 12 13 14 15 16 19 20 25 30 35 40 Used to calculate the prese nt value of a series of equal payments made at the end of each period. For example: What is the present value of $2,000 per year for 10 years assuming an annual interest rate of 9%. For ( 10 9%), the pV factor is 6.4177 $2,000 per year for 10 years is the equivalent of $12,835 today ($2,000 x 6.4177) TABLE B.2 Future Value of 1 Rate Perlods 2% 3% 4% 5% 6% 7% 9% 0% 10% 12% 15% 1.0000 1.0000 1.0000 .0000 1.0000 1.0000 .0000 1.0000 1.0000 1.0100 0200 1.0300 .0400 1.0500 1.0600 .0700 10800 1.0900 1.0201 .0404 1.0609 1.0816 1.1025 11236 .1449 .1664 1.1881 1.0303 1.0612 1.0927 1.1249 1.1576 1.1910 1.2250 2597 1.2950 1.0000 10000 1.1000 11200 1.2100 12544 1.3310 1.4049 1.0406 1.0824 1.1255 1699 1.2155 1.2625 1.3108 3605 1.4116 1.4641 1.5735 1.6105 1.7623 1.7716 1.9738 1.9487 2.2107 1.0829 1.1717 1.2668 1.3686 1.4775 1.5938 1.7182 18509 1.9926 2.1436 2.4760 1.0937 1.1951 1.3048 1.4233 1.5513 16895 1.8385 1.9990 2.1719 2.3579 2.7731 1.1046 1.2190 1.3439 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.59373.1058 1.0000 1.1500 1.3225 1.7490 2.0114 2.3131 .6600 3.0590 3.5179 4.0456 4.6524 5.3503 6.1528 7.0757 8.1371 9.3576 10.7613 12.3755 14.2318 1.2202 1.4859 1.8061 2.1911 2.6533 3.2071 3.8697 4.6610 5.6044 6.7275 9.6463 16.3665 32.9190 1.3478 1.8114 2.4273 3.2434 4.3219 5.7435 7.6123 10.0627 13.2677 17.449429.959966.2118 1.4166 1.9999 2.8139 3.9461 5.5160 7.6861 10.6766 14.7853 20.4140 28.102452.7996 133.1755 1.4889 2.2080 3.2620 4.8010 7.0400 0.2857 14.9745 21.7245 31.4094 45.2593 93.0510 267.8635 1.0510 1.1041 .1593 1.2167 1.2763 1.3382 .4026 1.4693 5386 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.5869 1.6771 1.0721 1.1487 1.2299 1.3159 1.4071 1.5036 1.6058 1.7138 18280 1.1157 1.2434 1.3842 .5395 1.7103 18983 2.1049 2.3316 2.5804 2.8531 12 13 1.1268 1.2682 1.4258 1.6010 1.7959 2.0122 2.2522 2.5182 2.8127 3.1384 3.8960 1.1381 1.2936 1.4685 1.6651 1.8856 2.1329 2.4098 2.7196 3.0658 3.45234.3635 1.1495 .3195 1.5126 1.7317 1.9799 2.2609 2.5785 2.9372 3.3417 3.7975 4.8871 1.1610 1.3459 1.5580 1.8009 2.0789 2.3966 2.7590 3.1722 3.6425 4.1772 5.4736 1.1726 1.3728 1.6047 1.8730 2.1829 2.5404 2.9522 3.4259 3.9703 4.5950 6.1304 1.1843 1.4002 1.6528 1.9479 2.2920 2.6928 3.1588 3.7000 4.3276 5.0545 6.8660 5.5599 7.6900 1.2081 1.4568 1.7535 2.1068 2.5270 3.0256 3.6165 4.3157 5.1417 6.1159 8.6128 15 .1961 1.4282 7024 2.0258 2.4066 2.8543 3.3799 3.9960 4.7171 20 1.2824 1.6406 2.0938 2.6658 3.3864 4.2919 5.4274 6.8485 8.6231 10.83477.0001 30 40 t Used to compute the future value of a known present amount. For example: What is the accumulated value of $3.000 invested today at 8% compounded quarter for 5 years? Usin the factors of n-20 and i= 2% (20 quarterly periods and a quarterly interest rate of 2%), the factor is 1.4859. The accumulated value is $4,457.7 53,000 x 1.4859) TABLE B.1 Present Value of 1 Perlods 1% 2% 3% 4% 5% 6% 7% 8% 10% 12% 15% 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.9091 0.8929 0.8696 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.7972 0.7561 0.9706 0.9423 0.9151 0.8890 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.6575 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 0.6830 0.6355 0.5718 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 0.4972 0.9420 0.8880 0.8375 0.7903 0.7462 0.7050 0.6663 0.6302 0.5963 0.5645 0.5066 0.4323 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 0.6227 0.5835 0.5470 0.5132 0.4523 0.3759 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 0.5019 0.4665 0.4039 0.3269 0.9143 0.9053 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.4632 0.4224 0.3855 0.3220 0.2472 0.8963 0.8043 0.7224 0.6496 0.8874 0.7885 0.7014 0.6246 0.5568 0.4970 0.4440 0.3971 0.3555 0.3186 0.2567 0.1869 0.8787 0.7730 0.6810 0.6006 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2292 0.1625 0.8700 0.7579 0.6611 0.5775 0.5051 0.4423 0.3878 0.3405 0.2992 0.2633 0.2046 0.1413 0.8613 0.7430 0.6419 0.5553 0.4810 0.4173 0.3624 0.3152 0.2745 0.2394 0.1827 0.1229 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.2176 0.1631 0.1069 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1978 0.1456 0.0929 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.2502 0.2120 0.1799 0.1300 0.0808 0.8277 0.6864 0.5703 0.4746 0.3957 0.3305 0.2765 0.2317 0.1945 0.1635 0.1161 0.0703 0.8195 0.6730 0.5537 0.4564 0.3769 0.3118 0.2584 0.2145 0.1784 0.1486 0.1037 0.0611 0.7798 0.6095 0.4776 0.3751 0.2953 0.2330 0.1842 0.1460 0.1160 0.0923 0.0588 0.0304 0.7419 0.5521 0.4120 0.3083 0.2314 0.1741 0.1314 0.0994 0.0754 0.0573 0.0334 0.0151 0.7059 0.5000 0.3554 0.2534 0.1813 0.1301 0.0937 0.0676 0.0490 0.0356 0.0189 0.0075 0.6717 0.4529 0.3066 0.2083 0.1420 0.0972 0.0668 0.0460 0.0318 0.0221 0.0107 0.0037 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.4604 0. 4241 0.3606 0.2843 10 0.5847 0.5268 0.4751 0.4289 0.3875 0.3505 0.2875 0.2149 12 13 14 15 16 18 19 20 25 30 35 40 Used to compute the present value of a nown future amount. For example: How much would ou need to invest to ay at 10% com un ed semiannually to a cumul S5 in 6 ear from today? Using the factors of n = 12 and i= 5% ( 12 s m nnual periods and a semiannual rate of 5%) the factor is 05568 You would ned to in est S2.784 today (S5000 x 0 5568. ABC Company recently borrowed money and agreed to pay it back with a series of six annual payments of $9,000 each. ABC Company subsequently borrows more money and agrees to pay it back with a series of four annual payments of $19,000 each. The annual interest rate for both loans is 9%. Find the present value of these two separate annuities. (PV of $1. of $1, PVA of $1, and FVA of $1) (Use approprlate factor(s) from the tables provided. Round your answers to nearest whole dollar. Round "Table Factor" to 4 decimal places.) irst Annuity Interest Single Future Amount Borrowed of x Table Factor Payment PeriodsRate 9,000 x 9,000 x 9,000 x 9,000 x 9,000 x 9,000 x $ First payment Second payment Third payment Fourth payment Fifth payment Sixth payment 9%) 9% 9% 9% 9% 9% 3 4 econd Annui Interest Single Future of eriods Amount x Table FactorBorrowed Rate Payment $ First payment Second payment Third payment Fourth payment 99 9% 9% 9% 19,000 | x 19,000 x 19,000 x 19,000 x 4