Present Value of 1Periods3%4%5%6%7%8%9%10%12%30.91510.88900.86380.83960.81630.79380.77220.75130.711840.88850.85480.82270.79210.76290.73500.70840.68300.635550.86260.82190.78350.74730.71300.68060.64990.62090.567460.83750.79030.74620.70500.66630.63020.59630.56450.506670.81310.75990.71070.66510.62270.58350.54700.51320.452380.78940.73070.67680.62740.58200.54030.50190.46650.403990.76640.70260.64460.59190.54390.50020.46040.42410.3606100.74410.67560.61390.55840.50830.46320.42240.38550.3220Future Value of
1Periods3%4%5%6%7%8%9%10%12%31.09271.12491.15761.19101.22501.25971.29501.33101.404941.12551.16991.21551.26251.31081.36051.41161.46411.573551.15931.21671.27631.33821.40261.46931.53861.61051.762361.19411.26531.34011.41851.50071.58691.67711.77161.973871.22991.31591.40711.50361.60581.71381.82801.94872.210781.26681.36861.47751.59381.71821.85091.99262.14362.476091.30481.42331.55131.68951.83851.99902.17192.35792.7731101.34391.48021.62891.79081.96722.15892.36742.59373.1058Present Value of an Annuity of 1Periods3%4%5%6%7%8%9%10%12%32.82862.77512.72322.67302.62432.57712.53132.48692.401843.71713.62993.54603.46513.38723.31213.23973.16993.037354.57974.45184.32954.21244.10023.99273.88973.79083.604865.41725.24215.07574.91734.76654.62294.48594.35534.111476.23036.00215.78645.58245.38935.20645.03304.86844.563887.01976.73276.46326.20985.97135.74665.53485.33494.967697.78617.43537.10786.80176.51526.24695.99525.79505.3282108.53028.11097.72177.36017.02366.71016.41776.14465.6502Future Value of an Annuity of 1Periods3%4%5%6%7%8%9%10%12%33.09093.12163.15253.18363.21493.24643.27813.31003.374444.18364.24654.31014.37464.43994.50614.57314.64104.779355.30915.41635.52565.63715.75075.86665.98476.10516.352866.46846.63306.80196.97537.15337.33597.52337.71568.115277.66257.89838.14208.39388.65408.92289.20049.487210.089088.89239.21429.54919.897510.259810.636611.028511.435912.2997910.159110.582811.026611.491311.978012.487613.021013.579514.77571011.463912.006112.577913.180813.816414.486615.192915.937417.5487Garcia Brass Fixtures is planning on replacing one of its machines in five years by making a one-time deposit of $20,000 today and four yearly contributions of $5,000 beginning at the end of year 1. The deposits will earn 10% interest. How much money will Garcia have accumulated at the end of five years to replace the machine?
What will be an ideal response?
$55,415
Future Value = Present Value * FV Factor
Future Value = $20,000 * 1.6105 = $32,210
1.6105 is the FV factor on the Future Value table; n = 5; i = 10%
Future Value of an Annuity = Annuity * FV Factor
Future Value of an Annuity = $5,000 * 4.6410 = $23,205
4.6410 is the FV factor on the Future Value of an Annuity table; n = 4; i = 10%
Accumulated Funds = $32,210 + $23,205 = $55,415
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