df
7
Future value interest factor of $1 per period at i% for n periods, FVIF( Period 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 1 ### ### ### ### 1.050 1.060 1.070 1.080 1.090 1.100 1.110 1.120 1.130 1.140 1.150 2 ### ### ### ### 1.103 1.124 1.145 1.166 1.188 1.210 1.232 1.254 1.277 1.300 1.323 3 ### ### ### ### 1.158 1.191 1.225 1.260 1.295 1.331 1.368 1.405 1.443 1.482 1.521 4 ### ### ### ### 1.216 1.262 1.311 1.360 1.412 1.464 1.518 1.574 1.630 1.689 1.749 5 ### ### ### ### 1.276 1.338 1.403 1.469 1.539 1.611 1.685 1.762 1.842 1.925 2.011 6 ### ### ### ### 1.340 1.419 1.501 1.587 1.677 1.772 1.870 1.974 2.082 2.195 2.313 7 ### ### ### ### 1.407 1.504 1.606 1.714 1.828 1.949 2.076 2.211 2.353 2.502 2.660 8 ### ### ### ### 1.477 1.594 1.718 1.851 1.993 2.144 2.305 2.476 2.658 2.853 3.059 9 ### ### ### ### 1.551 1.689 1.838 1.999 2.172 2.358 2.558 2.773 3.004 3.252 3.518 10 ### ### ### ### 1.629 1.791 1.967 2.159 2.367 2.594 2.839 3.106 3.395 3.707 4.046 11 ### ### ### ### 1.710 1.898 2.105 2.332 2.580 2.853 3.152 3.479 3.836 4.226 4.652 12 ### ### ### ### 1.796 2.012 2.252 2.518 2.813 3.138 3.498 3.896 4.335 4.818 5.350 13 ### ### ### ### 1.886 2.133 2.410 2.720 3.066 3.452 3.883 4.363 4.898 5.492 6.153 14 ### ### ### ### 1.980 2.261 2.579 2.937 3.342 3.797 4.310 4.887 5.535 6.261 7.076 15 ### ### ### ### 2.079 2.397 2.759 3.172 3.642 4.177 4.785 5.474 6.254 7.138 8.137 16 ### ### ### ### 2.183 2.540 2.952 3.426 3.970 4.595 5.311 6.130 7.067 8.137 9.358 17 ### ### ### ### 2.292 2.693 3.159 3.700 4.328 5.054 5.895 6.866 7.986 9.276 10.761 18 ### ### ### ### 2.407 2.854 3.380 3.996 4.717 5.560 6.544 7.690 9.024 10.575 12.375 19 ### ### ### ### 2.527 3.026 3.617 4.316 5.142 6.116 7.263 8.613 10.197 12.056 14.232 20 ### ### ### ### 2.653 3.207 3.870 4.661 5.604 6.727 8.062 9.646 11.523 13.743 16.367 25 ### ### ### ### 3.386 4.292 5.427 6.848 8.623 10.835 13.585 17.000 21.231 26.462 32.919 30 ### ### ### ### 4.322 5.743 7.612 10.063 13.268 17.449 22.892 29.960 39.116 50.950 66.212 35 ### ### ### ### 5.516 7.686 10.677 14.785 20.414 28.102 38.575 52.800 72.069 98.100 133.176 40 ### ### ### ### 7.040 10.286 14.974 21.725 31.409 45.259 65.001 93.051 132.782 188.884 267.864 50 ### ### ### ### 11.467 18.420 29.457 46.902 74.358 117.391 184.565 289.002 450.736 700.233 ###
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Present and Future Value Tables
Future Value of a Lump SumFuture value interest factor of $1 per period at i% for n periods, FVIF(i,n).Period1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%11.0101.0201.0301.0401.0501.0601.0701.0801.0901.1001.1101.1201.1301.1401.1501.1601.1701.1801.1901.20021.0201.0401.0611.0821.1031.1241.1451.1661.1881.2101.2321.2541.2771.3001.3231.3461.3691.3921.4161.44031.0301.0611.0931.1251.1581.1911.2251.2601.2951.3311.3681.4051.4431.4821.5211.5611.6021.6431.6851.72841.0411.0821.1261.1701.2161.2621.3111.3601.4121.4641.5181.5741.6301.6891.7491.8111.8741.9392.0052.07451.0511.1041.1591.2171.2761.3381.4031.4691.5391.6111.6851.7621.8421.9252.0112.1002.1922.2882.3862.48861.0621.1261.1941.2651.3401.4191.5011.5871.6771.7721.8701.9742.0822.1952.3132.4362.5652.7002.8402.98671.0721.1491.2301.3161.4071.5041.6061.7141.8281.9492.0762.2112.3532.5022.6602.8263.0013.1853.3793.58381.0831.1721.2671.3691.4771.5941.7181.8511.9932.1442.3052.4762.6582.8533.0593.2783.5113.7594.0214.30091.0941.1951.3051.4231.5511.6891.8381.9992.1722.3582.5582.7733.0043.2523.5183.8034.1084.4354.7855.160101.1051.2191.3441.4801.6291.7911.9672.1592.3672.5942.8393.1063.3953.7074.0464.4114.8075.2345.6956.192111.1161.2431.3841.5391.7101.8982.1052.3322.5802.8533.1523.4793.8364.2264.6525.1175.6246.1766.7777.430121.1271.2681.4261.6011.7962.0122.2522.5182.8133.1383.4983.8964.3354.8185.3505.9366.5807.2888.0648.916131.1381.2941.4691.6651.8862.1332.4102.7203.0663.4523.8834.3634.8985.4926.1536.8867.6998.5999.59610.699141.1491.3191.5131.7321.9802.2612.5792.9373.3423.7974.3104.8875.5356.2617.0767.9889.00710.14711.42012.839151.1611.3461.5581.8012.0792.3972.7593.1723.6424.1774.7855.4746.2547.1388.1379.26610.53911.97413.59015.407161.1731.3731.6051.8732.1832.5402.9523.4263.9704.5955.3116.1307.0678.1379.35810.74812.33014.12916.17218.488171.1841.4001.6531.9482.2922.6933.1593.7004.3285.0545.8956.8667.9869.27610.76112.46814.42616.67219.24422.186181.1961.4281.7022.0262.4072.8543.3803.9964.7175.5606.5447.6909.02410.57512.37514.46316.87919.67322.90126.623191.2081.4571.7542.1072.5273.0263.6174.3165.1426.1167.2638.61310.19712.05614.23216.77719.74823.21427.25231.948201.2201.4861.8062.1912.6533.2073.8704.6615.6046.7278.0629.64611.52313.74316.36719.46123.10627.39332.42938.338251.2821.6412.0942.6663.3864.2925.4276.8488.62310.83513.58517.00021.23126.46232.91940.87450.65862.66977.38895.396301.3481.8112.4273.2434.3225.7437.61210.06313.26817.44922.89229.96039.11650.95066.21285.850111.065143.371184.675237.376351.4172.0002.8143.9465.5167.68610.67714.78520.41428.10238.57552.80072.06998.100133.176180.314243.503327.997440.701590.668401.4892.2083.2624.8017.04010.28614.97421.72531.40945.25965.00193.051132.782188.884267.864378.721533.869750.3781,051.6681,469.772501.6452.6924.3847.10711.46718.42029.45746.90274.358117.391184.565289.002450.736700.2331,083.6571,670.7042,566.2153,927.3575,988.9149,100.438
Present Value of a Lump SumPresent value interest factor of $1 per period at i% for n periods, PVIF(i,n).Period1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%10.9900.9800.9710.9620.9520.9430.9350.9260.9170.9090.9010.8930.8850.8770.8700.8620.8550.8470.8400.83320.9800.9610.9430.9250.9070.8900.8730.8570.8420.8260.8120.7970.7830.7690.7560.7430.7310.7180.7060.69430.9710.9420.9150.8890.8640.8400.8160.7940.7720.7510.7310.7120.6930.6750.6580.6410.6240.6090.5930.57940.9610.9240.8880.8550.8230.7920.7630.7350.7080.6830.6590.6360.6130.5920.5720.5520.5340.5160.4990.48250.9510.9060.8630.8220.7840.7470.7130.6810.6500.6210.5930.5670.5430.5190.4970.4760.4560.4370.4190.40260.9420.8880.8370.7900.7460.7050.6660.6300.5960.5640.5350.5070.4800.4560.4320.4100.3900.3700.3520.33570.9330.8710.8130.7600.7110.6650.6230.5830.5470.5130.4820.4520.4250.4000.3760.3540.3330.3140.2960.27980.9230.8530.7890.7310.6770.6270.5820.5400.5020.4670.4340.4040.3760.3510.3270.3050.2850.2660.2490.23390.9140.8370.7660.7030.6450.5920.5440.5000.4600.4240.3910.3610.3330.3080.2840.2630.2430.2250.2090.194100.9050.8200.7440.6760.6140.5580.5080.4630.4220.3860.3520.3220.2950.2700.2470.2270.2080.1910.1760.162110.8960.8040.7220.6500.5850.5270.4750.4290.3880.3500.3170.2870.2610.2370.2150.1950.1780.1620.1480.135120.8870.7880.7010.6250.5570.4970.4440.3970.3560.3190.2860.2570.2310.2080.1870.1680.1520.1370.1240.112130.8790.7730.6810.6010.5300.4690.4150.3680.3260.2900.2580.2290.2040.1820.1630.1450.1300.1160.1040.093140.8700.7580.6610.5770.5050.4420.3880.3400.2990.2630.2320.2050.1810.1600.1410.1250.1110.0990.0880.078150.8610.7430.6420.5550.4810.4170.3620.3150.2750.2390.2090.1830.1600.1400.1230.1080.0950.0840.0740.065160.8530.7280.6230.5340.4580.3940.3390.2920.2520.2180.1880.1630.1410.1230.1070.0930.0810.0710.0620.054170.8440.7140.6050.5130.4360.3710.3170.2700.2310.1980.1700.1460.1250.1080.0930.0800.0690.0600.0520.045180.8360.7000.5870.4940.4160.3500.2960.2500.2120.1800.1530.1300.1110.0950.0810.0690.0590.0510.0440.038190.8280.6860.5700.4750.3960.3310.2770.2320.1940.1640.1380.1160.0980.0830.0700.0600.0510.0430.0370.031200.8200.6730.5540.4560.3770.3120.2580.2150.1780.1490.1240.1040.0870.0730.0610.0510.0430.0370.0310.026250.7800.6100.4780.3750.2950.2330.1840.1460.1160.0920.0740.0590.0470.0380.0300.0240.0200.0160.0130.010300.7420.5520.4120.3080.2310.1740.1310.0990.0750.0570.0440.0330.0260.0200.0150.0120.0090.0070.0050.004350.7060.5000.3550.2530.1810.1300.0940.0680.0490.0360.0260.0190.0140.0100.0080.0060.0040.0030.0020.002400.6720.4530.3070.2080.1420.0970.0670.0460.0320.0220.0150.0110.0080.0050.0040.0030.0020.0010.0010.001500.6080.3720.2280.1410.0870.0540.0340.0210.0130.0090.0050.0030.0020.0010.0010.0010.0000.0000.0000.000
Future Value of an AnnuityFuture value interest factor of an ordinary annuity of $1 per period at i% for n periods, FVIFA(i,n).Period1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%11.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001.00022.0102.0202.0302.0402.0502.0602.0702.0802.0902.1002.1102.1202.1302.1402.1502.1602.1702.1802.1902.20033.0303.0603.0913.1223.1533.1843.2153.2463.2783.3103.3423.3743.4073.4403.4733.5063.5393.5723.6063.64044.0604.1224.1844.2464.3104.3754.4404.5064.5734.6414.7104.7794.8504.9214.9935.0665.1415.2155.2915.36855.1015.2045.3095.4165.5265.6375.7515.8675.9856.1056.2286.3536.4806.6106.7426.8777.0147.1547.2977.44266.1526.3086.4686.6336.8026.9757.1537.3367.5237.7167.9138.1158.3238.5368.7548.9779.2079.4429.6839.93077.2147.4347.6627.8988.1428.3948.6548.9239.2009.4879.78310.08910.40510.73011.06711.41411.77212.14212.52312.91688.2868.5838.8929.2149.5499.89710.26010.63711.02811.43611.85912.30012.75713.23313.72714.24014.77315.32715.90216.49999.3699.75510.15910.58311.02711.49111.97812.48813.02113.57914.16414.77615.41616.08516.78617.51918.28519.08619.92320.7991010.46210.95011.46412.00612.57813.18113.81614.48715.19315.93716.72217.54918.42019.33720.30421.32122.39323.52124.70925.9591111.56712.16912.80813.48614.20714.97215.78416.64517.56018.53119.56120.65521.81423.04524.34925.73327.20028.75530.40432.1501212.68313.41214.19215.02615.91716.87017.88818.97720.14121.38422.71324.13325.65027.27129.00230.85032.82434.93137.18039.5811313.80914.68015.61816.62717.71318.88220.14121.49522.95324.52326.21228.02929.98532.08934.35236.78639.40442.21945.24448.4971414.94715.97417.08618.29219.59921.01522.55024.21526.01927.97530.09532.39334.88337.58140.50543.67247.10350.81854.84159.1961516.09717.29318.59920.02421.57923.27625.12927.15229.36131.77234.40537.28040.41743.84247.58051.66056.11060.96566.26172.0351617.25818.63920.15721.82523.65725.67327.88830.32433.00335.95039.19042.75346.67250.98055.71760.92566.64972.93979.85087.4421718.43020.01221.76223.69825.84028.21330.84033.75036.97440.54544.50148.88453.73959.11865.07571.67378.97987.06896.022105.931819.61521.41223.41425.64528.13230.90633.99937.45041.30145.59950.39655.75061.72568.39475.83684.14193.406103.74115.27128.121920.81122.84125.11727.67130.53933.76037.37941.44646.01851.15956.93963.44070.74978.96988.21298.603110.28123.41138.17154.742022.01924.29726.87029.77833.06636.78640.99545.76251.16057.27564.20372.05280.94791.025102.44115.38130.03146.63165.42186.692528.24332.03036.45941.64647.72754.86563.24973.10684.70198.347114.41133.33155.62181.87212.79249.21292.10342.60402.04471.983034.78540.56847.57556.08566.43979.05894.461113.28136.31164.49199.02241.33293.20356.79434.75530.31647.44790.95966.711,181.93541.66049.99460.46273.65290.320111.43138.24172.32215.71271.02341.59431.66546.68693.57881.171,120.71,426.51,816.72,314.22,948.34048.88660.40275.40195.026120.80154.76199.64259.06337.88442.59581.83767.091,013.71,342.01,779.12,360.83,134.54,163.25,529.87,343.95064.46384.579112.80152.67209.35290.34406.53573.77815.081,163.91,668.82,400.03,459.54,994.57,217.710,43615,09021,81331,51545,497
Present Value of an AnnuityPresent value interest factor of an (ordinary) annuity of $1 per period at i% for n periods, PVIFA(i,n).Period1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%10.9900.9800.9710.9620.9520.9430.9350.9260.9170.9090.9010.8930.8850.8770.8700.8620.8550.8470.8400.83321.9701.9421.9131.8861.8591.8331.8081.7831.7591.7361.7131.6901.6681.6471.6261.6051.5851.5661.5471.52832.9412.8842.8292.7752.7232.6732.6242.5772.5312.4872.4442.4022.3612.3222.2832.2462.2102.1742.1402.10643.9023.8083.7173.6303.5463.4653.3873.3123.2403.1703.1023.0372.9742.9142.8552.7982.7432.6902.6392.58954.8534.7134.5804.4524.3294.2124.1003.9933.8903.7913.6963.6053.5173.4333.3523.2743.1993.1273.0582.99165.7955.6015.4175.2425.0764.9174.7674.6234.4864.3554.2314.1113.9983.8893.7843.6853.5893.4983.4103.32676.7286.4726.2306.0025.7865.5825.3895.2065.0334.8684.7124.5644.4234.2884.1604.0393.9223.8123.7063.60587.6527.3257.0206.7336.4636.2105.9715.7475.5355.3355.1464.9684.7994.6394.4874.3444.2074.0783.9543.83798.5668.1627.7867.4357.1086.8026.5156.2475.9955.7595.5375.3285.1324.9464.7724.6074.4514.3034.1634.031109.4718.9838.5308.1117.7227.3607.0246.7106.4186.1455.8895.6505.4265.2165.0194.8334.6594.4944.3394.1921110.3689.7879.2538.7608.3067.8877.4997.1396.8056.4956.2075.9385.6875.4535.2345.0294.8364.6564.4864.3271211.25510.5759.9549.3858.8638.3847.9437.5367.1616.8146.4926.1945.9185.6605.4215.1974.9884.7934.6114.4391312.13411.34810.6359.9869.3948.8538.3587.9047.4877.1036.7506.4246.1225.8425.5835.3425.1184.9104.7154.5331413.00412.10611.29610.5639.8999.2958.7458.2447.7867.3676.9826.6286.3026.0025.7245.4685.2295.0084.8024.6111513.86512.84911.93811.11810.3809.7129.1088.5598.0617.6067.1916.8116.4626.1425.8475.5755.3245.0924.8764.6751614.71813.57812.56111.65210.83810.1069.4478.8518.3137.8247.3796.9746.6046.2655.9545.6685.4055.1624.9384.7301715.56214.29213.16612.16611.27410.4779.7639.1228.5448.0227.5497.1206.7296.3736.0475.7495.4755.2224.9904.7751816.39814.99213.75412.65911.69010.82810.0599.3728.7568.2017.7027.2506.8406.4676.1285.8185.5345.2735.0334.8121917.22615.67814.32413.13412.08511.15810.3369.6048.9508.3657.8397.3666.9386.5506.1985.8775.5845.3165.0704.8432018.04616.35114.87713.59012.46211.47010.5949.8189.1298.5147.9637.4697.0256.6236.2595.9295.6285.3535.1014.8702522.02319.52317.41315.62214.09412.78311.65410.6759.8239.0778.4227.8437.3306.8736.4646.0975.7665.4675.1954.9483025.80822.39619.60017.29215.37213.76512.40911.25810.2749.4278.6948.0557.4967.0036.5666.1775.8295.5175.2354.9793529.40924.99921.48718.66516.37414.49812.94811.65510.5679.6448.8558.1767.5867.0706.6176.2155.8585.5395.2514.9924032.83527.35523.11519.79317.15915.04613.33211.92510.7579.7798.9518.2447.6347.1056.6426.2335.8715.5485.2584.9975039.19631.42425.73021.48218.25615.76213.80112.23310.9629.9159.0428.3047.6757.1336.6616.2465.8805.5545.2624.999
