Solve for the unknown quantity in Parts (a) through (d) that makes the equivalent value of cash outflows equal to the equivalent value of the cash inflow, F. a. If F= $11,000, G = $620, and N=6, then i = ? b. If F = $11,000, G = $620, and i = 4% per period, then N= ? c. If G = $1,000, N= 12, and i = 8% per period, then F= ? d. If F = $8,500, N=6, and i = 8% per period, then G = ? F= ? End of Period 0 3 2 4 N N-1 0 1 2 G 2G 3G (N-2) (N-1)G Interest = i% per Period Discrete Compounding; i = 4% Uniform Series Single Payment N 1 Compound Amount Factor To Find F Given P F/P 1.0400 1.0816 1.1249 1.1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.5395 1.6010 1.6651 1.7317 1.8009 Present Worth Factor To Find P Given F P/F 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.6496 0.6246 0.6006 0.5775 0.5553 Compound Amount Factor To Find F Given A FIA 1.0000 2.0400 3.1216 4.2465 5.4163 6.6330 7.8983 9.2142 10.5828 12.0061 13.4864 15.0258 16.6268 18.2919 20.0236 Present Worth Factor To Find P Given A PIA 0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 8.7605 9.3851 9.9856 10.5631 11.1184 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4902 0.3203 0.2355 0.1846 0.1508 0.1266 0.1085 0.0945 0.0833 0.0741 0.0666 0.0601 0.0547 0.0499 Capital Recovery Factor To Find A Given P A/P 1.0400 0.5302 0.3603 0.2755 0.2246 0.1908 0.1666 0.1485 0.1345 0.1233 0.1141 0.1066 0.1001 0.0947 0.0899 Uniform Gradient Gradient Gradient Uniform Present Series Worth Factor Factor To Find P To Find A Given G Given G P/G A/G 0.0000 0.0000 0.9246 0.4902 2.7025 0.9739 5.2670 1.4510 8.5547 1.9216 12.5062 2.3857 17.0657 2.8433 22.1806 3.2944 27.8013 3.7391 33.8814 4.1773 40.3772 4.6090 47.2477 5.0343 54.4546 5.4533 61.9618 5.8659 69.7355 6.2721 11 12 13 14 15 Discrete Compounding; i = 8% Uniform Series Single Payment Compound Amount Factor To Find F Given P F/P Present Worth Factor To Find P Given F P/F Compound Amount Factor To Find F Given A FIA N 1 2 3 4 5 6 Capital Present Sinking Fund Recovery Worth Factor Factor Factor To Find P To Find A To Find A Given A Given F Given P PIA A/F AIP 0.9259 1.0000 1.0800 1.7833 0.4808 0.5608 2.5771 0.3080 0.3880 3.3121 0.2219 0.3019 3.9927 0.1705 0.2505 4.6229 0.1363 0.2163 5.2064 0.1121 0.1921 5.7466 0.0940 0.1740 6.2469 0.0801 0.1601 6.7101 0.0690 0.1490 7.1390 0.0601 0.1401 7.5361 0.0527 0.1327 7.9038 0.0465 0.1265 8.2442 0.0413 0.1213 8.5595 0.0368 0.1168 1.0800 1.1664 1.2597 1.3605 1.4693 1.5869 1.7138 1.8509 1.9990 2.1589 2.3316 2.5182 2.7196 2.9372 3.1722 Uniform Gradient Gradient Gradient Present Uniform Worth Series Factor Factor To Find P To Find A Given G Given G PIG AIG 0.0000 0.0000 0.8573 0.4808 2.4450 0.9487 4.6501 1.4040 7.3724 1.8465 10.5233 2.2763 14.0242 2.6937 17.8061 3.0985 21.8081 3.4910 25.9768 3.8713 30.2657 4.2395 34.6339 4.5957 39.0463 4.9402 43.4723 5.2731 47.8857 5.5945 7 1.0800 0.8573 0.7938 0.7350 0.6806 0.6302 0.5835 0.5403 0.5002 0.4632 0.4289 0.3971 0.3677 0.3405 0.3152 8 9 1.0000 2.0800 3.2464 4.5061 5.8666 7.3359 8.9228 10.6366 12.4876 14.4866 16.6455 18.9771 21.4953 24.2149 27.1521 10 11 12 13 14 15 Solve for the unknown quantity in Parts (a) through (d) that makes the equivalent value of cash outflows equal to the equivalent value of the cash inflow, F. a. If F= $11,000, G = $620, and N=6, then i = ? b. If F = $11,000, G = $620, and i = 4% per period, then N= ? c. If G = $1,000, N= 12, and i = 8% per period, then F= ? d. If F = $8,500, N=6, and i = 8% per period, then G = ? F= ? End of Period 0 3 2 4 N N-1 0 1 2 G 2G 3G (N-2) (N-1)G Interest = i% per Period Discrete Compounding; i = 4% Uniform Series Single Payment N 1 Compound Amount Factor To Find F Given P F/P 1.0400 1.0816 1.1249 1.1699 1.2167 1.2653 1.3159 1.3686 1.4233 1.4802 1.5395 1.6010 1.6651 1.7317 1.8009 Present Worth Factor To Find P Given F P/F 0.9615 0.9246 0.8890 0.8548 0.8219 0.7903 0.7599 0.7307 0.7026 0.6756 0.6496 0.6246 0.6006 0.5775 0.5553 Compound Amount Factor To Find F Given A FIA 1.0000 2.0400 3.1216 4.2465 5.4163 6.6330 7.8983 9.2142 10.5828 12.0061 13.4864 15.0258 16.6268 18.2919 20.0236 Present Worth Factor To Find P Given A PIA 0.9615 1.8861 2.7751 3.6299 4.4518 5.2421 6.0021 6.7327 7.4353 8.1109 8.7605 9.3851 9.9856 10.5631 11.1184 Sinking Fund Factor To Find A Given F A/F 1.0000 0.4902 0.3203 0.2355 0.1846 0.1508 0.1266 0.1085 0.0945 0.0833 0.0741 0.0666 0.0601 0.0547 0.0499 Capital Recovery Factor To Find A Given P A/P 1.0400 0.5302 0.3603 0.2755 0.2246 0.1908 0.1666 0.1485 0.1345 0.1233 0.1141 0.1066 0.1001 0.0947 0.0899 Uniform Gradient Gradient Gradient Uniform Present Series Worth Factor Factor To Find P To Find A Given G Given G P/G A/G 0.0000 0.0000 0.9246 0.4902 2.7025 0.9739 5.2670 1.4510 8.5547 1.9216 12.5062 2.3857 17.0657 2.8433 22.1806 3.2944 27.8013 3.7391 33.8814 4.1773 40.3772 4.6090 47.2477 5.0343 54.4546 5.4533 61.9618 5.8659 69.7355 6.2721 11 12 13 14 15 Discrete Compounding; i = 8% Uniform Series Single Payment Compound Amount Factor To Find F Given P F/P Present Worth Factor To Find P Given F P/F Compound Amount Factor To Find F Given A FIA N 1 2 3 4 5 6 Capital Present Sinking Fund Recovery Worth Factor Factor Factor To Find P To Find A To Find A Given A Given F Given P PIA A/F AIP 0.9259 1.0000 1.0800 1.7833 0.4808 0.5608 2.5771 0.3080 0.3880 3.3121 0.2219 0.3019 3.9927 0.1705 0.2505 4.6229 0.1363 0.2163 5.2064 0.1121 0.1921 5.7466 0.0940 0.1740 6.2469 0.0801 0.1601 6.7101 0.0690 0.1490 7.1390 0.0601 0.1401 7.5361 0.0527 0.1327 7.9038 0.0465 0.1265 8.2442 0.0413 0.1213 8.5595 0.0368 0.1168 1.0800 1.1664 1.2597 1.3605 1.4693 1.5869 1.7138 1.8509 1.9990 2.1589 2.3316 2.5182 2.7196 2.9372 3.1722 Uniform Gradient Gradient Gradient Present Uniform Worth Series Factor Factor To Find P To Find A Given G Given G PIG AIG 0.0000 0.0000 0.8573 0.4808 2.4450 0.9487 4.6501 1.4040 7.3724 1.8465 10.5233 2.2763 14.0242 2.6937 17.8061 3.0985 21.8081 3.4910 25.9768 3.8713 30.2657 4.2395 34.6339 4.5957 39.0463 4.9402 43.4723 5.2731 47.8857 5.5945 7 1.0800 0.8573 0.7938 0.7350 0.6806 0.6302 0.5835 0.5403 0.5002 0.4632 0.4289 0.3971 0.3677 0.3405 0.3152 8 9 1.0000 2.0800 3.2464 4.5061 5.8666 7.3359 8.9228 10.6366 12.4876 14.4866 16.6455 18.9771 21.4953 24.2149 27.1521 10 11 12 13 14 15