復(fù)利終值系數(shù).doc

復(fù)利現(xiàn)值（PVIF）是指發(fā)生的一筆收付款的價(jià)值。例：若年利率為10%，從第1年到第3年，各年年末的1元，其價(jià)值計(jì)算如下：1年后1元的現(xiàn)值=1/（1+10%）=0.909(元）2年后1元的現(xiàn)值=1/（1+10%）（1+10%）=0.83(元）3年后1元的現(xiàn)值=1/（1+10%）（1+10%）（1+10%）=0.751（元）復(fù)利現(xiàn)值的計(jì)算公式為：P=F*1/(1+i)n其中的1/(1+i)n就是復(fù)利現(xiàn)值系數(shù)。記作（P/F，i,n）.其中i是利率（折現(xiàn)率），n是年數(shù)。根據(jù)這兩個(gè)條件就可以查到具體對(duì)應(yīng)的復(fù)利現(xiàn)值系數(shù)了。應(yīng)的復(fù)利現(xiàn)值系數(shù)了。或者：P=S(1十i)-n上式中的(1十i)-n是把終值折算為現(xiàn)值的系數(shù)，稱復(fù)利現(xiàn)值系數(shù)，或稱1元的復(fù)利現(xiàn)值，用符號(hào)(P/S，i，n)來(lái)表示。例如，(P/S，10%，5)表示利率為10%時(shí)5期的復(fù)利現(xiàn)值系數(shù)。為了便于計(jì)算，可編制“復(fù)利現(xiàn)值系數(shù)表”(見(jiàn)本書附表二)。該表的使用方法與“復(fù)利終值系數(shù)表”相同。實(shí)例例：某人擬在5年后獲得本利和10000元，假設(shè)投資報(bào)酬率為10%，他應(yīng)投入多少元?P=S(P/S，i，n)=10000(P/S，10%，5)=100000621=6210(元)復(fù)利現(xiàn)值系數(shù)，只要有個(gè)計(jì)算器就可以了，不需要單獨(dú)備一張表。如51%，一年的就是1/1.51=0.6623，二年的就是1/1.51*1.51=0.4386，三年就是1/1.51*1.51*1.51=0.2904，.年金現(xiàn)值系數(shù)也是一樣的,51%一年的年金現(xiàn)值系數(shù)=(1-(1+51%)-1次方)/51%=0.6623,二年的年金現(xiàn)值系數(shù)=(1-(1+51%)-2次方)/51%=1.1008,三年的年金現(xiàn)值系數(shù)=(1-(1+51%)-3次方)/51%=1.3913,.任何一個(gè)系數(shù)，無(wú)論是幾年的，無(wú)論利率是多少，無(wú)論復(fù)利終值還是利息現(xiàn)值，無(wú)論是年金終值還是年金現(xiàn)值；方法會(huì)了，把計(jì)算器一按，比你查表還快得多。系數(shù)表期數(shù)1%2%3%4%5%6%7%8%9%10%11.011.021.031.041.051.061.071.081.091.121.02011.04041.06091.08161.10251.12361.14491.16641.18811.2131.03031.06121.09271.12491.15761.1911.2251.25971.2951.33141.04061.08241.12551.16991.21551.26251.31081.36051.41161.464151.0511.10411.15931.21671.27631.33821.40261.46931.53861.610561.06151.12621.19411.26531.34011.41851.50071.58691.67711.771671.07211.14871.22991.31591.40711.50361.60581.71381.8281.948781.08291.17171.26681.36861.47751.59381.71821.85091.99262.143691.09371.19511.30481.42331.55131.68951.83851.9992.17192.3579101.10461.2191.34391.48021.62891.79081.96722.15892.36742.5937111.11571.24341.38421.53951.71031.89832.10492.33162.58042.8531121.12681.26821.42581.6011.79592.01222.25222.51822.81273.1384131.13811.29361.46851.66511.88562.13292.40982.71963.06583.4523141.14951.31951.51261.73171.97992.26092.57852.93723.34173.7975151.1611.34591.5581.80092.07892.39662.7593.17223.64254.1772161.17261.37281.60471.8732.18292.54042.95223.42593.97034.595171.18431.40021.65281.94792.2922.69283.15883.74.32765.0545181.19611.42821.70242.02582.40662.85433.37993.9964.71715.5599191.20811.45681.75352.10682.5273.02563.61654.31575.14176.1159201.22021.48591.80612.19112.65333.20713.86974.6615.60446.7275211.23241.51571.86032.27882.7863.39964.14065.03386.10887.4002221.24471.5461.91612.36992.92533.60354.43045.43656.65868.1403231.25721.57691.97362.46473.07153.81974.74055.87157.25798.9543241.26971.60842.03282.56333.22514.04895.07246.34127.91119.8497251.28241.64062.09382.66583.38644.29195.42746.84858.623110.8347261.29531.67342.15662.77253.55574.54945.80747.39649.399211.9182271.30821.70692.22132.88343.73354.82236.21397.988110.245113.11281.32131.7412.28792.99873.92015.11176.64888.627111.167114.421291.33451.77582.35663.11874.11615.41847.11439.317312.172215.8631301.34781.81142.42733.24344.32195.74357.612310.062713.267717.4494期數(shù)11%12%13%14%15%16%17%18%19%20%11.111.121.131.141.151.161.171.181.191.221.23211.25441.27691.29961.32251.34561.36891.39241.41611.4431.36761.40491.44291.48151.52091.56091.60161.6431.68521.72841.51811.57351.63051.6891.7491.81061.87391.93882.00532.073651.68511.76231.84241.92542.01142.10032.19242.28782.38642.488361.87041.97382.0822.1952.31312.43642.56522.69962.83982.98672.07622.21072.35262.50232.662.82623.00123.18553.37933.583282.30452.4762.65842.85263.0593.27843.51153.75894.02144.299892.5582.77313.0043.25193.51793.8034.10844.43554.78545.1598102.83943.10583.39463.70724.04564.41144.80685.23385.69476.1917113.15183.47863.83594.22624.65245.11735.6246.17596.77677.4301123.49853.8964.33454.81795.35035.9366.58017.28768.06428.9161133.88334.36354.8985.49246.15286.88587.69878.59949.596410.6993144.31044.88715.53486.26137.07577.98759.007510.147211.419812.8392154.78465.47366.25437.13798.13719.265510.538711.973713.589515.407165.31096.13047.06738.13729.357610.74812.330314.12916.171518.4884175.89516.8667.98619.276510.761312.467714.426516.672219.244122.1861186.54367.699.024310.575212.375514.462516.87919.673322.900526.6233197.26338.612810.197412.055714.231816.776519.748423.214427.251631.948208.06239.646311.523113.743516.366519.460823.105627.39332.429438.3376218.949210.803813.021115.667618.821522.574527.033632.323838.59146.0051229.933612.100314.713817.86121.644726.186431.629338.142145.923355.20612311.026313.552316.626620.361624.891530.376237.006245.007654.648766.24742412.239215.178618.788123.212228.625235.236443.297353.10965.03279.49682513.585517.000121.230526.461932.91940.874250.657862.668677.388195.39622615.079919.040123.990530.166637.856847.414159.269773.94992.0918114.47552716.738721.324927.109334.389943.535355.000469.345587.2598109.5893137.37062818.579923.883930.633539.204550.065663.800481.1342102.9666130.4112164.84472920.623726.749934.615844.693157.575574.008594.9271121.5005155.1893197.81363022.892329.959939.115950.950266.211885.8499111.0647143.3706184.6753237.3763期數(shù)21%22%23%24%25%26%27%28%29%30%11.211.221.231.241.251.261.271.281.291.321.46411.48841.51291.53761.56251.58761.61291.63841.66411.6931.77161.81581.86091.90661.95312.00042.04842.09722.14672.19742.14362.21532.28892.36422.44142.52052.60142.68442.76922.856152.59372.70272.81532.93163.05183.17583.30383.4363.57233.712963.13843.29733.46283.63523.81474.00154.19594.3984.60834.826873.79754.02274.25934.50774.76845.04195.32885.62955.94476.274984.5954.90775.23895.58955.96056.35286.76757.20587.66868.157395.55995.98746.44396.9317.45068.00458.59489.22349.892510.6045106.72757.30467.92598.59449.313210.085710.915311.805912.761413.7858118.14038.91179.748910.657111.641512.70813.862515.111616.462217.9216129.849710.872211.991213.214814.551916.01217.605319.342821.236223.29811311.918213.264114.749116.386318.189920.175222.358824.758827.394730.28751414.42116.182218.141420.319122.737425.420728.395731.691335.339139.37381517.449419.742322.31425.195628.421732.030136.062540.564845.587551.18591621.113824.085627.446231.242635.527140.357945.799451.92358.807966.54171725.547729.384433.758838.740844.408950.85158.165266.461475.862186.50421830.912735.84941.523348.038655.511264.072273.869885.070697.8622112.45541937.404343.735851.073759.567969.388980.73193.8147108.8904126.2422146.1922045.259353.357662.820673.864186.7362101.7211119.1446139.3797162.8524190.04962154.763765.096377.269491.5915108.4202128.1685151.3137178.406210.0796247.06452266.264179.417595.0413113.5735135.5253161.4924192.1683228.