Optilux is considering investing in an automated manufacturing system. The system requires an initial investment of $4 3 million has a 20-year life, and will have zero salvage value. If the system is implemented, the company will save $640,000 per year in direct labor costs. The company requires a 12% return from its investments. (PV of $1. FV of $1. PVA of $1. and FVA of $1 (Use appropriate factor(s) from the tables provided.) a. Compute the proposed investment's net present value. b. Using the answer from part a, is the investment's internal rate of return higher or lower than 12%? Complete this question by entering your answers in the tabs below. Required A Required B Compute the proposed investment's net present value. Net present value Required B > Settings and m Table B.1* Present Value of 1 p=1/(1+1)" Rate Periods 1% 2% 3% 4% 5% 6% 8% 9% 10% 12% 15% Periods 1 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 7% 0.9346 0.8734 0.9259 0.9091 0.8929 0.8696 1 2 0.9803 0.9612 0.9426 0.9246 0.9174 0.8417 0.9070 0.8900 0.8264 0.7972 0.7561 2 3 0.9706 0.8573 0.7938 0.9423 0.9151 0.8890 0.8396 0.7513 0.6575 3 4 0.9610 0.9238 0.8885 0.8638 0.8227 0.7835 0.8548 0.7118 0.6355 0.7722 0.7084 0.6499 0.6830 0.5718 0.7921 0.7473 4 5 0.9515 0.7350 0.6806 0.9057 0.8626 0.8219 0.6209 0.4972 5 6 0.9420 0.8880 0.8375 0.5674 0.5066 0.7903 0.7462 0.8163 0.7629 0.7130 0.6663 0.6227 0.5820 0.5439 0.7050 0.6302 0.5963 0.5645 0.4323 6 7 0.9327 0.8706 0.8131 0.7107 0.5470 0.4523 0.3759 7 0.7599 0.7307 0.6651 0.6274 8 0.9235 0.8535 0.5132 0.4665 0.7894 0.5835 0.5403 0.5002 0.6768 0.5019 0.4039 0.3269 8 9 0.9143 0.8368 0.7026 0.5919 0.4604 0.4241 0.3606 0.2843 9 0.7664 0.7441 10 0.9053 0.8203 0.6756 0.5584 0.5083 0.4632 0.3855 0.3220 0.2472 10 0.6446 0.6139 0.5847 0.5568 11 0.4224 0.3875 0.8963 0.8043 0.7224 0.6496 0.5268 0.3505 0.2875 0.2149 11 0.4751 0.4440 0.4289 0.3971 12 0.8874 0.7885 0.7014 0.6246 0.4970 0.3555 0.3186 0.2567 0.1869 12 13 0.7730 0.6810 0.5303 0.4688 0.4150 0.3677 0.3262 0.2897 0.2292 0.1625 13 0.8787 0.8700 14 0.6611 0.6006 0.5775 0.5553 0.3405 0.2992 0.2633 0.2046 0.1413 0.7579 0.7430 14 0.5051 0.4810 0.4423 0.4173 0.3878 0.3624 15 0.8613 0.6419 0.3152 0.2745 0.2394 0.1229 15 0.1527 0.1631 16 0.8528 0.7284 0.6232 0.5339 0.4581 0.3936 0.3387 0.2919 0.2519 0.1069 16 0.2176 0.1978 17 0.8444 0.7142 0.6050 0.5134 0.4363 0.3714 0.3166 0.2703 0.2311 0.1456 0.0929 17 18 0.8360 0.7002 0.5874 0.4936 0.4155 0.3503 0.2959 0.1300 0.0SOS 18 0.6864 0.1799 0.1635 0.4746 0.3957 0.3305 0.2765 0.2502 0.2317 0.2145 19 20 0.1161 0.2120 0.1945 0.1784 0.8277 0.8195 19 0.5703 0.5637 0.0703 0.0611 0.6730 0.4564 0.3769 0.3118 0.2584 0.1186 0.1037 20 2 0.9803 0.9612 0.9426 0.9246 0.9070 0.8900 0.8734 0.8573 0.8417 0.8264 0.7972 2 0.7561 3 0.9706 0.9423 0.9151 0.8890 3 0.8638 0.8396 0.8163 0.7938 0.7722 0.7513 0.7118 0.6575 4 0.9610 0.9238 0.8885 0.8548 0.8227 0.7921 0.7629 0.7350 0.7084 4 0.6830 0.6355 0.5718 0.4972 5 0.9515 0.9057 0.8626 0.8219 0.7835 0.7473 0.7130 0.6806 0.6499 0.6209 0.5674 5 6 0.9420 0.8880 0.8375 6 0.7903 0.7462 0.7050 0.6663 0.6302 0.5645 0.5066 0.4323 0.5963 0.5470 7 0.9327 0.8706 0.8131 0.7599 0.7107 0.6651 7 0.6227 0.5835 0.5132 0.4523 0.3759 8 0.9235 0.8535 0.7894 0.7307 0.6768 0.6274 0.5820 0.5403 8 0.5019 0.4665 0.4039 0.3269 0.9143 9 0.8368 0.7664 0.7026 0.6446 0.5919 0.5439 0.5002 0.4604 9 0.4241 0.3606 0.2843 0.2472 10 0.9053 10 0.8203 0.7441 0.6756 0.6139 0.5584 0.5083 0.3220 11 0.8963 0.8043 0.7224 0.6496 0.5847 0.5268 0.4751 11 0.2875 0.2149 0.4632 0.4289 0.3971 0.3677 0.4224 0.3875 0.3555 0.3262 0.3855 0.3505 0.3186 0.2897 12 0.8874 0.5568 0.4970 0.4440 12 0.2567 0.6246 0.6006 13 0.8787 0.4688 0.4150 13 0.2292 0.1869 0.1625 0.1413 0.5303 0.5051 14 0.4423 0.3878 0.3405 0.2992 14 0.2633 0.8700 0.8613 15 0.4810 0.4173 0.3624 0.3152 15 0.1229 0.7885 0.7730 0.7579 0.7430 0.7284 0.7142 0.7002 0.6864 16 0.8528 0.4581 0.3936 0.3387 16 0.2919 0.1069 0.2046 0.1827 0.1631 0.1456 0.1300 0.2394 0.2176 0.1978 0.1799 17 0.8444 0.4363 0.3714 0.2703 0.2745 0.2519 0.2311 0.2120 0.1945 17 0.0929 0.7014 0.6810 0.6611 0.6419 0.6232 0.6050 0.5874 0.5703 0.5537 0.4776 0.4120 0.3554 0.3066 18 0.4155 0.3503 18 0.0808 0.8360 0.8277 0.3166 0.2959 0.2765 0.2584 0.5775 0.5553 0.5339 0.5134 0.4936 0.4746 0.4564 0.3751 0.3083 0.2534 0.2083 0.2502 0.2317 19 0.3957 19 0.1161 0.0703 0.8195 0.1784 0.6730 0.1037 20 0.1635 0.1486 0.0923 20 0.0611 0.2145 0.1460 0.3305 0.3118 0.2330 0.1741 0.1301 0.6095 0.1842 25 0.0588 0.7798 0.1160 0.0304 25 0.3769 0.2953 0.2314 0.1813 0.0994 0.0754 0.7419 30 0.0573 0.0334 30 0.5521 0.5000 0.4529 0.1314 0.0937 0.0668 0.0356 35 0.0676 0.0189 0.7059 35 0.0151 0.0075 0.0037 0.0490 0.0318 0.6717 0.1420 010972 0.0460 40 0.0221 40 0.0107 *Used to compute the present value of a known future amount. For example: How much would you need to invest today at 10% compounded semiannualh to accumulate $5,000 in 6 years from today? Using the factors of n = 12 and i = 5% (12 semiannual periods and a semiannual rate of 5), the factor is 0.5568. You would need to invest $2,784 today ($5,000 * 0.5568). FA PM Table B.2 Future Value of 1 f= (1 + 1)" Rate Periods 1% 2% 3% 4% 5% 6% 7% 9% 10% 12% 15% 0 Periods 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 8% 1.0000 1.0800 1.0000 1.0000 1.0000 0 1 1.0100 1.0200 1.0300 1.0400 1.0500 1.0700 1.0000 1.0900 1.1881 1.0600 11236 1.1000 1.1200 11500 1 2 1.0201 1.0404 1.0609 1.0816 1.1025 1.2100 1.2544 2 3 1.0303 1.0612 1.1449 1.2250 1.1576 1.1910 1.0927 1.1255 1.1664 1.2597 1.3605 13225 15209 1.2950 1.3310 3 4 1.0406 10824 1.2155 1.2625 1.3108 1.1249 1.1699 1.2167 1.2653 1.4116 1.4641 1.7490 4 5 1.0510 1.1041 11593 1.2763 1.4026 1.5386 2.0114 6 1.1262 1.1941 1.0615 1.0721 1.3401 1.4693 1.5869 1.7138 1.5007 1.4049 1.5735 1.7623 1.9738 22107 2.4760 1.6105 1.7716 19487 1.6771 2.3131 6 7 1.1487 1.3159 1.6058 1.8280 2.6600 7 8 1.0829 1.3382 1.4185 1.5036 1.5938 1.6895 1.7908 1.2299 1.2668 1.3048 11717 1.4071 1.4775 1.5513 1.3686 1.7182 1.8509 2.1436 3.0590 8 9 1.1951 1.4233 1.0937 1.1046 1.9926 2.1719 1.9990 2.3579 2.7731 3.5179 9 10 1.8385 1.9672 1.2190 1.3439 2.1589 2.5937 1.4802 1.5395 3.1058 4.0456 1.6289 1.7103 10 11 1.2434 1.3842 1.8983 2.1049 2.3316 1.1157 1.1268 2.8531 3.4785 4.6524 11 12 1.2682 1.4258 2.3674 2.5804 2.8127 3.0658 1.7959 2.0122 2.5182 3.1384 3.8960 1.6010 1.6651 5.3503 12 2.2522 2.4098 13 1.1381 1.2936 1.8856 2.1329 3.4523 4.3635 6.1528 13 14 1.1495 1.3195 1.4685 15126 1.5580 1.9799 2.2609 2.5785 3.3417 3.7975 4.8871 144 1.7317 1.8009 2.7196 2.9372 3.1722 3.4259 15 1.1610 1.3459 7.0757 8.1371 *2.0789 2.3966 2.7590 3.6425 4.1772 15 16 1.3728 1.6047 1.8730 2.5404 2.9522 3.9703 4.5950 93576 16 1.1726 1 1843 2.1829 2.2920 17 5.4736 6.1304 6.5660 7.6900 3.7000 4.3276 17 1.4002 14282 1.6528 1.7024 2.6928 2.8543 1.9479 2.0258 2.1068 3.1588 3.3799 18 1.1961 2.4066 2.5270 3.9960 4.3157 18 5.0545 5.5399 6.1159 4.7171 5.1417 10.7613 123755 14.2318 19 1 2081 1 4568 1.7535 3.0256 3.6165 8.6125 19 1.0303 1.0612 1.1249 1.1576 1.1910 1.2597 1.2950 1.3310 1.4049 1.5209 1.2250 13108 4 1.0406 1.0927 1.1255 1.1593 1.0824 1.1699 1.2155 1.2625 1.3605 1.4116 1.4641 1.5735 1.7490 4 5 1.0510 1.1041 1.2167 12763 1.3382 1.4026 1.4693 1.5386 1.7623 2.0114 5 1.6105 1.7716 6 1.0615 1.1262 1.1941 1.2653 1.3401 1.4185 1.5007 1.9738 2.3131 6 1.5869 1.7138 1.6771 1.8280 7 1.0721 1.1487 1.2299 1.3159 1.4071 1.6058 1.9487 2.2107 2.6600 7 8 1.0829 1.1717 1.2668 1.3686 1.5036 1.5938 1.6895 1.7182 1.8509 1.9926 2.1436 3.0590 1.4775 1.5513 8 2.4760 2.7731 9 1.0937 1.1951 1.4233 1.8385 1.9990 2.1719 2.3579 3.5179 9 10 1.1046 1.2190 1.3048 1.3439 1.3842 1.4802 1.6289 1.7908 1.9672 2.1589 2.3674 2.5937 3.1058 4.0456 10 11 1.1157 1.2434 1.5395 1.7103 1.8983 2.1049 2.3316 2.5804 3.4785 4.6524 11 12 1.1268 1.2682 1.4258 1.6010 1.7959 2.8127 3.8960 5.3503 12 2.0122 2.1329 2.2522 2.4098 2.5182 2.7196 2.8531 3.1384 3.4523 3.7975 13 1.1381 1.2936 1.6651 3.0658 4.3635 6.1528 13 1.4685 1.5126 1.8856 1.9799 14 1.1495 1.3195 1.7317 2.2609 2.5785 2.9372 4.8871 14 3.3417 3.6425 7.0757 8.1371 15 1.5580 1.8009 2.0789 2.3966 2.7590 3.1722 4.1772 15 1.1610 1.1726 1.3459 1.3728 5.4736 6.1304 16 1.6047 2.1829 2.5404 2.9522 3.4259 4.5950 9.3576 16 3.9703 4.3276 17 1.1843 1.4002 1.8730 1.9479 2.0258 1.6528 2.2920 2.6928 3.1588 3.7000 5.0545 6.8660 10.7613 17 18 1.1961 1.4282 1.7024 2.8543 3.3799 3.9960 4.7171 5.5599 7.6900 12.3755 18 2.4066 2.5270 19 1.2081 1.4568 1.7535 2.1068 3.0256 3.6165 4.3157 5.1417 6.1159 8.6128 14.2318 19 20 1.2202 2.6533 5.6044 6.7275 9.6463 16.3665 20 1.4859 1.6406 1.8061 2.0938 2.1911 2.6658 25 4.6610 6.8485 1.2824 3.2071 4.2919 5.7435 3.8697 5.4274 7.6123 8.6231 10.8347 3.3864 -4.3219 32.9190 25 17.0001 29.9599 30 1.3478 1.8114 2.4273 3.2434 10.0627 13.2677 66.2118 30 17.4494 28.1024 35 1.4166 19999 2.8139 3.9461 5.5160 14.7853 20.4140 52.7996 133.1755 35 7.6861 10.2857 10.6766 14.9745 40 1.4889 2.2080 3.2620 4.8010 7.0400 21.7245 31.4094 45.2593 93 0510 267.8635 40 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 quarterly for 5 years? Using the factors of n = 20 and i = 2% (20 quarterly periods and a quarterly interest rate of 29), the factor is 1.4859. The accumulated value is $4,457.70 (S3,000 1.4859). Table B.3+Present Value of an Annuity of 1 p= [1 - 1/(1+1)"]/i Rate Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 15% 1 Periods 0.9901 0.9804 0.9709 0.9615 0.9524 0.9434 0.9346 0.9259 0.9174 0.8929 0.8696 1 2 1.9704 1.9416 1.9135 1.8861 1.8594 0.9091 1.7355 1.7833 1.7591 1.6901 1.6257 2 3 2.9410 2.8839 2.8286 1.8080 2.6243 2.7751 1.8334 2.6730 3.4651 2.7232 2.5313 2.4869 2.4018 2.2832 4 3 3.9020 3.8077 3.7171 3.6299 3.5460 3.3872 3.2397 3.1699 3.0373 2.8550 4 5 4.8534 4.7135 4.5797 4.4518 43295 4.2124 4.1002 2.5771 3.3121 3.9927 4.6229 5.2064 3.8897 3.7908 3.6048 33522 5 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.4859 4.3553 4.1114 4.9173 5.5824 3.7845 6 7 6.7282 6.4720 6.2303 4.7665 5.3893 6.0021 5.7864 5.0330 4.8684 4.5638 4.1604 7 8 7.6517 73255 7.0197 6.7327 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 49676 4.4873 8 9 8.5660 8.1622 7.7861 7.4353 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 4.7716 9 10 9.4713 8.9826 8.5302 7.7217 7.3601 5.3282 5.6502 8.1109 8.7605 7.0236 6.4177 6.1446 5.0188 10 11 10.3676 9.7868 6.7101 7.1390 9.2526 8.3064 7.8869 7.4987 6.8052 6.4951 5.9377 5.2337 11 12 11.2551 10.5753 9.9540 8.8633 8.3838 7.9427 7.1607 6.8137 9.3851 9.9856 5.4206 12 13 12.1337 11.3484 7.5361 7.9038 10.6350 9.3936 6.1944 6.4235 8.3577 7.4869 7.1034 13 14 8.8527 9.2950 13.0037 12.1062 11.2961 10.5631 8.7455 5.5831 5.7245 8.2442 9.8986 10.3797 7.7862 7.3667 6.6282 14 15 13.8651 12.8493 11.9379 11.1184 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 10.4773 9.7632 9.1216 8.5436 8.0216 11.2741 11.6896 7.1196 6.0472 12 16.3983 19 14.9920 13.7535 12.6593 10.8276 10.0591 9.3719 8 2014 7.2497 61250 18 19 20 18 17.2260 14.3238 13.1339 12.0853 11.1581 10.3356 9.6036 8.7556 S.9501 9.1285 15 6785 16.3514 S 3649 6. 1982 19 18 0456 14.8775 13.5903 7.3658 7 4694 12.4622 11.4699 10.5940 9.8181 8 5136 6.2593 20 6 5.7955 5.6014 5.4172 5.2421 5.0757 4.9173 4.7665 4.6229 4.4859 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 7.3255 70197 6.4632 6.2098 5.9713 5.7466 5.5348 5.3349 4.9676 8 7.6517 8.5660 6.7327 7.4353 4.4873 4.7716 9 8.1622 7.7861 7.1078 6.8017 6.5152 6.2469 5.9952 5.7590 5.3282 9 10 9.4713 8.9826 8.5302 8.1109 7.7217 7.0236 6.7101 6.4177 5.6502 10 7.3601 7.8869 6.1446 6.4951 5.0188 5.2337 11 10.3676 9.7868 9.2526 8.7605 8.3064 7.4987 6.8052 11 7.1390 7.5361 5.9377 6.1944 12 11.2551 10.5753 9.9540 9.3851 8.8633 8.3838 7.9427 7.1607 6.8137 5.4206 12 13 12.1337 11.3484 9.9856 9.3936 8.8527 8.3577 7.9038 7:4869 7.1034 6.4235 13 10.6350 11.2961 14 13.0037 10.5631 9.8986 9.2950 8.7455 5.5831 5.7245 5.8474 14 15 11. 1184 9.7122 9.1079 17.3667 7.6061 7.8237 13.8651 14.7179 15 16 5.9542 16 9.4466 9.7632 12.1062 12.8493 13.5777 14.2919 14.9920 15.6785 16.3514 17 15.5623 8.0216 6.6282 6.8109 6.9740 7.1196 7.2497 7.3658 6.0472 17 18 6.1280 11.9379 12.5611 13.1661 13.7535 14.3238 14.8775 17.4131 19.6004 16.3983 17.2260 18 10.1059 10.4773 10.8276 11.1581 11.4699 19 8.2442 8.5595 8.8514 9.1216 9.3719 9.6036 9.8181 10.6748 11 2578 11.6546 11.9246 10.3797 10.8378 11.2741 11.6896 12.0853 12.4622 14.0939 15.3725 16.3742 17.1591 6.1982 7862 8.0607 8.3126 8.5436 8.7556 8.9501 9.1285 9.8226 10.2737 10.5668 10.7574 11.6523 12.1657 12.6593 13.1339 13.5903 15.6221 17.2920 18.6646 19.7928 19 20 8.2014 8.3649 8.5136 9.0770 18.0456 7.4694 6.2593 20 25 10.0591 10.3356 10.5940 11.6536 12.4090 12.9477 13,3317 22.0232 7.8431 6.4641 25 30 25.8077 8.0552 6.5660 19.5235 22.3965 24.9986 27.3555 30 12.7834 13.7648 14 4982 15.0463 9.4269 9.6442 35 21.4872 8.1755 6.6166 35 29.4086 32.8347 40 23.1148 9.7791 8.2438 6.6418 40 Used to calculate the present 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 (n = 10, i = 0%), the PV factor is 64177! $2,000 per year for 10 years is the equivalent of $12,835 todav ($2,000 x 6.4177). Table B.4$Future Value of an Annuity of 1 f=[(1 + 2)" - 1]/i Rate Periods 1% 2% 3% 4% 5% 6% 8% 9% 10% 12% 15% Periods 7% 1.0000 1 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1 1.0000 2.0600 2 2.0100 2.0200 2.0300 1.0000 2.0500 3.1525 2.1000 2.1200 2 3 2.0800 3.2464 2.0900 3.2781 2.0400 3.1216 4.2465 2.1500 3.4725 3.0301 3.0604 3.0909 33100 3 4 4.0604 4.1216 4.1836 4.6410 33744 4.7793 6.3528 4.9934 4.3101 5.5256 4 5 5.1010 5.2040 5.3091 5.4163 6.7424 5 6 6.1520 6.4684 6.6330 8.1152 4.5061 5.8666 7.3359 8.9228 10.6366 8.7537 6.3081 7.4343 6 3.1836 4.3.746 5.6371 6.9753 8.3938 9.8975 11:4913 13.1808 6.1051 7.7156 9.4872 11.4359 7 7.2135 7.6625 10.0890 11.0668 7 8 8.2857 8.5830 8 13.7268 16.7858 9 9.3685 9.7546 13.5795 9 7.8983 9.2142 10.5828 12.0061 13.4864 15.0258 12.2997 14.7757 17.5487 10 10.4622 10.9497 2.0700 3.2149 4.4399 5.7507 7.1533 8.6540 10:2598 11.9780 13.8164 15.7836 17.8885 20 1406 22.5505 25.1290 27.8881 30.8402 33.9990 8.8923 10.1591 11.4639 12.8078 14.1920 15.6178 12.4876 14.4866 16.6455 15.9374 10 20.3037 24.3493 11 11.5668 12.1687 13.4121 11 4.5731 5.9847 7.5233 9.2004 11.0285 13.0210 15. 1929 17.5603 20.1407 22.9534 26.0192 29.3609 33.0034 36.9737 41.3013 14.9716 16.8699 12.6825 29.0017 6.8019 8.1420 9.5491 11.0266 12.5779 14.2068 15.9171 17.7130 19.5986 21.5786 23.6575 25.8404 28.1324 30.5390 12 12 13 20.6546 24.1331 28.0291 32 3926 13.8093 14.6803 18.5312 21.3843 24.5227 27.9750 31.7725 16.6268 34.3519 13 14 17.0863 40.5047 14 14.9474 16.0969 17.2579 15.9739 17.2934 18.2919 20.0236 15 18.5989 37 2797 47.5804 15 16 18.6393 18.8821 21.0151 23.2760 25.6725 28.2129 30.9057 33.7600 35.9497 18.9771 21.4953 24.2149 27.1521 30.3243 33.7502 37.4502 41.4463 45.7620 16 21.8245 23.6975 25.6454 42.7533 48.8837 55.7175 650751 17 40.5447 17 20.1569 21.7616 23.4144 25.1169 26.8704 18.4304 19.6147 20.8109 18 45.5992 55.7497 75.8364 20.0121 21.4123 22.8406 24.2974 18 19 27.6712 37.3790 63.4397 SS 2118 19 46.0185 51.1601 51.1591 57.2750 20 22.0190 29.7781 33.0660 36.7856 40.9955 72.0524 102 +436 20 4.4 4.6410 4.9934 4 5 5.1010 5.2040 5.3091 5.4163 5.5256 4.7793 6.3528 6.7424 5 6 6.1520 6.3081 6.4684 6.6330 6.8019 6.1051 7.7156 8.1152 8.7537 6 7 7.2135 7.4343 7.6625 8.1420 7.8983 9.2142 10.0890 11.0668 7 8 8.2857 8.5830 8.8923 9.5491 12.2997 13.7268 8 9 9.3685 9.7546 10.1591 10.5828 11.0266 9.4872 11.4359 13.5795 15.9374 18.5312 14.7757 16.7858 9 10 10.4622 11.4639 12.5779 10.9497 12.1687 17.5487 20.3037 10 12.0061 13.4864 11 11.5668 12.8078 14.2068 24.3493 11 12 12.6825 13.4121 14.1920 15.0258 20.6546 24.1331 29.0017 12 13 15.9171 17.7130 13.8093 15.6178 16.6268 34.3519 13 14 14.9474 14.6803 15.9739 17.2934 18.2919 21.3843 24.5227 27.9750 31.7725 19.5986 4.D061 4.5731 5.8666 5.9847 7.3359 7.5233 8.9228 9.2004 10 6366 11.0285 12.4876 13.0210 14.4866 15.1929 16.6455 17.5603 18.9771 20.1407 21.4953 22.9534 24.2149 26.0192 27.1521 29.3609 30.3243 33.0034 33.7502 36.9737 37.4502 41.3013 41.4463 46.0185 45.7620 51 1601 73.1059 84.7009 113.2832 136.3075 172.3168 215.7108 259.0565 337.8824 28.0291 32.3926 17.0863 18.5989 40.5047 5.6371 5.7507 6.9753 7.1533 8.3938 8.6540 9.8975 10.2598 11.4913 11.9780 13.1808 13.8164 14.9716 15.7836 16.8699 17.8885 18.8821 20.1406 21.0151 22.5505 23.2760 25.1290 25 6725 27 8881 28.2129 30.8402 30.9057 33.9990 33.7600 37.3790 36.7856 40.9955 54.8645 63.2490 79 0582 94.4608 1114348 | 138 2369 154.7620 199.6351 14 15 16.0969 20.0236 37.2797 47.5804 15 16 17.2579 18.6393 35.9497 42.7533 55.7175 16 20.1569 21.7616 21.5786 23.6575 25.8404 28.1324 17 18.4304 20.0121 65.0751 17 40.5447 45.5992 18 19.6147 21.8245 23.6975 25.6454 27.6712 29.7781 48.8837 55.7497 21.4123 23.4144 75.8364 18 19 20.8109 22.8406 25.1169 30.5390 88.2118 19 51.1591 57 2750 63.4397 72.0524 20 22.0190 24.2974 26.8704 102.4436 20 25 28.2432 32.0303 36.4593 41.6459 98.3471 133.3339 25 212.7930 434.7451 30 34.7849 40.5681 47.5754 33.0660 47.7271 66.4388 90.3203 120.7998 56.0849 164.4940 241.3327 30 35 41.6603 49.9945 60.4621 73.6522 271.0244 431.6635 881.1702 35 40 48.8864 60.4020 75.4013 95.0255 442.5926 767,0914 1,779.0903 40 Used to calculate the future value of a series of equal payments made at the end of each period. For example: What is the future value of $4,000 per year for 6 years assuming an annual interest rate of 8%? For (n=6, i = 8%), the FV factor is 7.3359. $4,000 per year for 6 years accumulates to S29,343.60 ($4,000 7.3359)