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1、财务管理常用系数表一、复利终值系数表期数1%2%3%4%5%6%7%8%9%10%11.01001.02001.03001.04001.05001.06001.07001.08001.09001.100021.02011.04041.06091.08161.10251.12361.14491.16641.18811.210031.03031.06121.09271.12491.15761.19101.22501.25971.29501.331041.04061.08241.12551.16991.21551.26251.31081.36051.41161.464151.05101.10411.
2、15931.21671.27631.33821.40261.46931.53861.610561.06151.12621.19411.26531.34011.41851.50071.58691.67711.771671.07211.14871.22991.31591.40711.50361.60581.71381.82801.948781.08291.17171.26681.36861.47751.59381.71821.85091.99262.143691.09371.19511.30481.42331.55131.68951.83851.99902.17192.3579101.10461.
3、21901.34391.48021.62891.79081.96722.15892.36742.5937111.11571.24341.38421.53951.71031.89832.10492.33162.58042.8531121.12681.26821.42581.60101.79592.01222.25222.51822.81273.1384131.13811.29361.46851.66511.88562.13292.40982.71963.06583.4523141.14951.31951.51261.73171.97992.26092.57852.93723.34173.7975
4、151.16101.34591.55801.80092.07892.39662.75903.17223.64254.1772161.17261.37281.60471.87302.18292.54042.95223.42593.97034.5950171.18431.40021.65281.94792.29202.69283.15883.70004.32765.0545181.19611.42821.70242.02582.40662.85433.37993.99604.71715.5599191.20811.45681.75352.10682.52703.02563.61654.31575.
5、14176.1159201.22021.48591.80612.19112.65333.20713.86974.66105.60446.7275211.23241.51571.86032.27882.78603.39964.14065.03386.10887.4002221.24471.54601.91612.36992.92533.60354.43045.43656.65868.1403231.25721.57691.97362.46473.07153.81974.74055.87157.25798.9543241.26971.60842.03282.56333.22514.04895.07
6、246.34127.91119.8497251.28241.64062.09382.66583.38644.29195.42746.84858.623110.835261.29531.67342.15662.77253.55574.54945.80747.39649.399211.918271.30821.70692.22132.88343.73354.82236.21397.988110.24513.110281.32131.74102.28792.99873.92015.11176.64888.627111.16714.421291.33451.77582.35663.11874.1161
7、5.41847.11439.317312.17215.863301.34781.81142.42733.24344.32195.74357.612310.06313.26817.449401.48892.20803.26204.80107.040010.28614.97521.72531.40945.259501.64462.69164.38397.106711.46718.42029.45746.90274.358117.39601.81673.28105.891610.52018.67932.98857.946101.26176.03304.48计算公式:复利终值系数= 1i n ,S=P
8、1i nP现值或初始值;i 报酬率或利率;n计息期数; S终值或本利和437一、复利终值系数表续表期数12%14%15%16%18%20%24%28%32%36%11.12001.14001.15001.16001.18001.20001.24001.28001.32001.360021.25441.29961.32251.34561.39241.44001.53761.63841.74241.849631.40491.48151.52091.56091.64301.72801.90662.09722.30002.515541.57351.68901.74901.81061.93882.073
9、62.36422.68443.03603.421051.76231.92542.01142.10032.28782.48832.93163.43604.00754.652661.97382.19502.31312.43642.69962.98603.63524.39805.28996.327572.21072.50232.66002.82623.18553.58324.50775.62956.98268.605482.47602.85263.05903.27843.75894.29985.58957.20589.217011.70392.77313.25193.51793.80304.4355
10、5.15986.93109.223412.16715.917103.10583.70724.04564.41145.23386.19178.594411.80616.06021.647113.47854.22624.65245.11736.17597.430110.65715.11221.19929.439123.89604.81795.35035.93607.28768.916113.21519.34327.98340.038134.36355.49246.15286.88588.599410.69916.38624.75936.93754.451144.88716.26137.07577.
11、987510.14712.83920.31931.69148.75774.053155.47367.13798.13719.265511.97415.40725.19640.56564.359100.71166.13048.13729.357610.74814.12918.48831.24351.92384.954136.97176.86609.276510.76112.46816.67222.18638.74166.461112.14186.28187.690010.57512.37614.46319.67326.62348.03985.071148.02253.34198.612812.0
12、5614.23216.77723.21431.94859.568108.89195.39344.54209.646313.74416.36719.46127.39338.33873.864139.38257.92468.572110.80415.66818.82222.57532.32446.00591.592178.41340.45637.262212.10017.86121.64526.18638.14255.206113.57228.36449.39866.672313.55220.36224.89230.37645.00866.247140.83292.30593.201178.724
13、15.17923.21228.62535.23653.10979.497174.63374.14783.021603.02517.00026.46232.91940.87462.66995.396216.54478.901033.62180.12619.04030.16737.85747.41473.949114.48268.51613.001364.32964.92721.32534.39043.53555.00087.260137.37332.96784.641800.94032.32823.88439.20550.06663.800102.97164.84412.861004.32377
14、.25483.92926.75044.69357.57674.009121.50197.81511.951285.63137.97458.13029.96050.95066.21285.850143.37237.38634.821645.54142.1101434093.051188.88267.86378.72750.381469.85455.91942766521*50289.00700.231083.71670.73927.49100.446890*60897.602595.94384.07370.22055556348*注: * 99 999计算公式:复利终值系数= 1i n ,S=P
15、1i nP现值或初始值;i 报酬率或利率;n计息期数;S终值或本利和438二、复利现值系数表期数1%2%3%4%5%6%7%8%9%10%10.99010.98040.97090.96150.95240.94340.93460.92590.91740.909120.98030.96120.94260.92460.90700.89000.87340.85730.84170.826430.97060.94230.91510.88900.86380.83960.81630.79380.77220.751340.96100.92380.88850.85480.82270.79210.76290.735
16、00.70840.683050.95150.90570.86260.82190.78350.74730.71300.68060.64990.620960.94200.88800.83750.79030.74620.70500.66630.63020.59630.564570.93270.87060.81310.75990.71070.66510.62270.58350.54700.513280.92350.85350.78940.73070.67680.62740.58200.54030.50190.466590.91430.83680.76640.70260.64460.59190.5439
17、0.50020.46040.4241100.90530.82030.74410.67560.61390.55840.50830.46320.42240.3855110.89630.80430.72240.64960.58470.52680.47510.42890.38750.3505120.88740.78850.70140.62460.55680.49700.44400.39710.35550.3186130.87870.77300.68100.60060.53030.46880.41500.36770.32620.2897140.87000.75790.66110.57750.50510.
18、44230.38780.34050.29920.2633150.86130.74300.64190.55530.48100.41730.36240.31520.27450.2394160.85280.72840.62320.53390.45810.39360.33870.29190.25190.2176170.84440.71420.60500.51340.43630.37140.31660.27030.23110.1978180.83600.70020.58740.49360.41550.35030.29590.25020.21200.1799190.82770.68640.57030.47
19、460.39570.33050.27650.23170.19450.1635200.81950.67300.55370.45640.37690.31180.25840.21450.17840.1486210.81140.65980.53750.43880.35890.29420.24150.19870.16370.1351220.80340.64680.52190.42200.34180.27750.22570.18390.15020.1228230.79540.63420.50670.40570.32560.26180.21090.17030.13780.1117240.78760.6217
20、0.49190.39010.31010.24700.19710.15770.12640.1015250.77980.60950.47760.37510.29530.23300.18420.14600.11600.0923260.77200.59760.46370.36070.28120.21980.17220.13520.10640.0839270.76440.58590.45020.34680.26780.20740.16090.12520.09760.0763280.75680.57440.43710.33350.25510.19560.15040.11590.08950.0693290.
21、74930.56310.42430.32070.24290.18460.14060.10730.08220.0630300.74190.55210.41200.30830.23140.17410.13140.09940.07540.0573350.70590.50000.35540.25340.18130.13010.09370.06760.04900.0356400.67170.45290.30660.20830.14200.09720.06680.04600.03180.0221450.63910.41020.26440.17120.11130.07270.04760.03130.0207
22、0.0137500.60800.37150.22810.14070.08720.05430.03390.02130.01340.0085550.57850.33650.19680.11570.06830.04060.02420.01450.00870.0053注:计算公式:复利现值系数 = 1 i-nS-n,P=in=S 1 i1P现值或初始值;i 报酬率或利率;n计息期数; S终值或本利和439二、复利现值系数表续表期数12%14%15%16%18%20%24%28%32%36%10.89290.87720.86960.86210.84750.83330.80650.78130.75760.
23、735320.79720.76950.75610.74320.71820.69440.65040.61040.57390.540730.71180.67500.65750.64070.60860.57870.52450.47680.43480.397540.63550.59210.57180.55230.51580.48230.42300.37250.32940.292350.56740.51940.49720.47610.43710.40190.34110.29100.24950.214960.50660.45560.43230.41040.37040.33490.27510.22740.1
24、8900.158070.45230.39960.37590.35380.31390.27910.22180.17760.14320.116280.40390.35060.32690.30500.26600.23260.17890.13880.10850.085490.36060.30750.28430.26300.22550.19380.14430.10840.08220.0628100.32200.26970.24720.22670.19110.16150.11640.08470.06230.0462110.28750.23660.21490.19540.16190.13460.09380.
25、06620.04720.0340120.25670.20760.18690.16850.13720.11220.07570.05170.03570.0250130.22920.18210.16250.14520.11630.09350.06100.04040.02710.0184140.20460.15970.14130.12520.09850.07790.04920.03160.02050.0135150.18270.14010.12290.10790.08350.06490.03970.02470.01550.0099160.16310.12290.10690.09300.07080.05
26、410.03200.01930.01180.0073170.14560.10780.09290.08020.06000.04510.02580.01500.00890.0054180.13000.09460.08080.06910.05080.03760.02080.01180.00680.0039190.11610.08290.07030.05960.04310.03130.01680.00920.00510.0029200.10370.07280.06110.05140.03650.02610.01350.00720.00390.0021210.09260.06380.05310.0443
27、0.03090.02170.01090.00560.00290.0016220.08260.05600.04620.03820.02620.01810.00880.00440.00220.0012230.07380.04910.04020.03290.02220.01510.00710.00340.00170.0008240.06590.04310.03490.02840.01880.01260.00570.00270.00130.0006250.05880.03780.03040.02450.01600.01050.00460.00210.00100.0005260.05250.03310.
28、02640.02110.01350.00870.00370.00160.00070.0003270.04690.02910.02300.01820.01150.00730.00300.00130.00060.0002280.04190.02550.02000.01570.00970.00610.00240.00100.00040.0002290.03740.02240.01740.01350.00820.00510.00200.00080.00030.0001300.03340.01960.01510.01160.00700.00420.00160.00060.00020.0001350.01
29、890.01020.00750.00550.00300.00170.00050.00020.0001*400.01070.00530.00370.00260.00130.00070.00020.0001*450.00610.00270.00190.00130.00060.00030.0001*500.00350.00140.00090.00060.00030.0001*550.00200.00070.00050.00030.0001*注: *999 999.99计算公式:年金终值系数 =1 i n1 , S=A 1 i n1iiA每期等额支付(或收入)的金额; i 报酬率或利率; n计息期数;
30、 S年金终值或本利和442四、年金现值系数表期数1%2%3%4%5%6%7%8%9%10%10.99010.98040.97090.96150.95240.94340.93460.92590.91740.909121.97041.94161.91351.88611.85941.83341.80801.78331.75911.735532.94102.88392.82862.77512.72322.67302.62432.57712.53132.486943.90203.80773.71713.62993.54603.46513.38723.31213.23973.169954.85344.71
31、354.57974.45184.32954.21244.10023.99273.88973.790865.79555.60145.41725.24215.07574.91734.76654.62294.48594.355376.72826.47206.23036.00215.78645.58245.38935.20645.03304.868487.65177.32557.01976.73276.46326.20985.97135.74665.53485.334998.56608.16227.78617.43537.10786.80176.51526.24695.99525.7590109.47
32、138.98268.53028.11097.72177.36017.02366.71016.41776.14461110.36769.78689.25268.76058.30647.88697.49877.13906.80526.49511211.255110.57539.95409.38518.86338.38387.94277.53617.16076.81371312.133711.348410.63509.98569.39368.85278.35777.90387.48697.10341413.003712.106211.296110.56319.89869.29508.74558.24
33、427.78627.36671513.865112.849311.937911.118410.37979.71229.10798.55958.06077.60611614.717913.577712.561111.652310.837810.10599.44668.85148.31267.82371715.562314.291913.166112.165711.274110.47739.76329.12168.54368.02161816.398314.992013.753512.659311.689610.827610.05919.37198.75568.20141917.226015.67
34、8514.323813.133912.085311.158110.33569.60368.95018.36492018.045616.351414.877513.590312.462211.469910.59409.81819.12858.51362118.857017.011215.415014.029212.821211.764110.835510.01689.29228.64872219.660417.658015.936914.451113.163012.041611.061210.20079.44248.77152320.455818.292216.443614.856813.488
35、612.303411.272210.37119.58028.88322421.243418.913916.935515.247013.798612.550411.469310.52889.70668.98472522.023219.523517.413115.622114.093912.783411.653610.67489.82269.07702622.795220.121017.876815.982814.375213.003211.825810.81009.92909.16092723.559620.706918.327016.329614.643013.210511.986710.93
36、5210.02669.23722824.316421.281318.764116.663114.898113.406212.137111.051110.11619.30662925.065821.844419.188516.983715.141113.590712.277711.158410.19839.36963025.807722.396519.600417.292015.372513.764812.409011.257810.27379.42693529.408624.998621.487218.664616.374214.498212.947711.654610.56689.64424
37、032.834727.355523.114819.792817.159115.046313.331711.924610.75749.77914536.094529.490224.518720.720017.774115.455813.605512.108410.88129.86285039.196131.423625.729821.482218.255915.761913.800712.233510.96179.91485542.147233.174826.774422.108618.633515.990513.939912.318611.01409.9471注:计算公式:年金现值系数1 1
38、i - n1 1 i - n=, P=AiiA每期等额支付(或收入)的金额;i 报酬率或利率; n计息期数; P年金现值443四、年金现值系数表续表期数12%14%15%16%18%20%24%28%32%36%10.89290.87720.86960.86210.84750.83330.80650.78130.75760.735321.69011.64671.62571.60521.56561.52781.45681.39161.33151.276032.40182.32162.28322.24592.17432.10651.98131.86841.76631.673543.03732.91
39、372.85502.79822.69012.58872.40432.24102.09571.965853.60483.43313.35223.27433.12722.99062.74542.53202.34522.180764.11143.88873.78453.68473.49763.32553.02052.75942.53422.338874.56384.28834.16044.03863.81153.60463.24232.93702.67752.455084.96764.63894.48734.34364.07763.83723.42123.07582.78602.540495.328
40、24.94644.77164.60654.30304.03103.56553.18422.86812.6033105.65025.21615.01884.83324.49414.19253.68193.26892.93042.6495115.93775.45275.23375.02864.65604.32713.77573.33512.97762.6834126.19445.66035.42065.19714.79324.43923.85143.38683.01332.7084136.42355.84245.58315.34234.90954.53273.91243.42723.04042.7
41、268146.62826.00215.72455.46755.00814.61063.96163.45873.06092.7403156.81096.14225.84745.57555.09164.67554.00133.48343.07642.7502166.97406.26515.95425.66855.16244.72964.03333.50263.08822.7575177.11966.37296.04725.74875.22234.77464.05913.51773.09712.7629187.24976.46746.12805.81785.27324.81224.07993.529
42、43.10392.7668197.36586.55046.19825.87755.31624.84354.09673.53863.10902.7697207.46946.62316.25935.92885.35274.86964.11033.54583.11292.7718217.56206.68706.31255.97315.38374.89134.12123.55143.11582.7734227.64466.74296.35876.01135.40994.90944.13003.55583.11802.7746237.71846.79216.39886.04425.43214.92454
43、.13713.55923.11972.7754247.78436.83516.43386.07265.45094.93714.14283.56193.12102.7760257.84316.87296.46416.09715.46694.94764.14743.56403.12202.7765267.89576.90616.49066.11825.48044.95634.15113.56563.12272.7768277.94266.93526.51356.13645.49194.96364.15423.56693.12332.7771287.98446.96076.53356.15205.5
44、0164.96974.15663.56793.12372.7773298.02186.98306.55096.16565.50984.97474.15853.56873.12402.7774308.05527.00276.56606.17725.51684.97894.16013.56933.12422.7775358.17557.07006.61666.21535.53864.99154.16443.57083.12482.7777408.24387.10506.64186.23355.54824.99664.16593.57123.12502.7778458.28257.12326.654
45、36.24215.55234.99864.16643.57143.12502.7778508.30457.13276.66056.24635.55414.99954.16663.57143.12502.7778558.31707.13766.66366.24825.55494.99984.16663.57143.12502.7778注:计算公式:年金现值系数1 1 i - n1 1 i - n=,P=AiiA每期等额支付(或收入)的金额;i 报酬率或利率; n计息期数; P年金现值444五、自然对数表N01234567891.00.00000.01000.01980.02960.03920.0
46、4880.05830.06770.07700.08621.10.09530.10440.11330.12220.13100.13980.14840.15700.16550.17401.20.18230.19060.19890.20700.21510.22310.23110.23900.24690.25461.30.26240.27000.27760.28520.29270.30010.30750.31480.32210.32931.40.33650.34360.35070.35770.36460.37160.37840.38530.39200.39881.50.40550.41210.4187
47、0.42530.43180.43830.44470.45110.45740.46371.60.47000.47620.48240.48860.49470.50080.50680.51280.51880.52471.70.53060.53650.54230.54810.55390.55960.56530.57100.57660.58221.80.58780.59330.59880.60430.60980.61520.62060.62590.63130.63661.90.64190.64710.65230.65750.66270.66780.67290.67800.68310.68812.00.6
48、9310.69810.70310.70800.71290.71780.72270.72750.73240.73722.10.74190.74670.75140.75610.76080.76550.77010.77470.77930.78392.20.78850.79300.79750.80200.80650.81090.81540.81980.82420.82862.30.83290.83720.84160.84590.85020.85440.85870.86290.86710.87132.40.87550.87960.88380.88790.89200.89610.90020.90420.9
49、0830.91232.50.91630.92030.92430.92820.93220.93610.94000.94390.94780.95172.60.95550.95940.96320.96700.97080.97460.97830.98210.98580.98952.70.99330.99691.00061.00431.00801.01161.01521.01881.02251.02602.81.02961.03321.03671.04031.04381.04731.05081.05431.05781.06132.91.06471.06821.07161.07501.07841.0818
50、1.08521.08861.09191.09533.01.09861.10191.10531.10861.11191.11511.11841.12171.12491.12823.11.13141.13461.13781.14101.14421.14741.15061.15371.15691.16003.21.16321.16631.16941.17251.17561.17871.18171.18481.18781.19093.31.19391.19691.20001.20301.20601.20901.21191.21491.21791.22083.41.22381.22671.22961.2
51、3261.23551.23841.24131.24421.24701.24993.51.25281.25561.25851.26131.26411.26691.26981.27261.27541.27823.61.28091.28371.28651.28921.29201.29471.29751.30021.30291.30563.71.30831.31101.31371.31641.31911.32181.32441.32711.32971.33243.81.33501.33761.34031.34291.34551.34811.35071.35331.35581.35843.91.3610
52、1.36351.36611.36861.37121.37371.37621.37881.38131.38384.01.38631.38881.39131.39381.39621.39871.40121.40361.40611.40854.11.41101.41341.41591.41831.42071.42311.42551.42791.43031.43274.21.43511.43751.43981.44221.44461.44691.44931.45161.45401.45634.31.45861.46091.46331.46561.46791.47021.47251.47481.4770
53、1.47934.41.48161.48391.48611.48841.49071.49291.49511.49741.49961.50194.51.50411.50631.50851.51071.51291.51511.51731.51951.52171.52394.61.52611.52821.53041.53261.53471.53691.53901.54121.54331.54544.71.54761.54971.55181.55391.55601.55811.56021.56231.56441.56654.81.56861.57071.57281.57481.57691.57901.5
54、8101.58311.58511.58724.91.58921.59131.59331.59531.59741.59941.60141.60341.60541.60745.01.60941.61141.61341.61541.61741.61941.62141.62331.62531.62735.11.62921.63121.63321.63511.63711.63901.64091.64291.64481.64675.21.64871.65061.65251.65441.65631.65821.66011.66201.66391.66585.31.66771.66961.67151.6734
55、1.67521.67711.67901.68081.68271.68455.41.68641.68821.69011.69191.69381.69561.69741.69931.70111.70295.51.70471.70661.70841.71021.71201.71381.71561.71741.71921.72105.61.72281.72461.72631.72811.72991.73171.73341.73521.73701.73875.71.74051.74221.74401.74571.74751.74921.75091.75271.75441.75615.81.75791.7
56、5961.76131.76301.76471.76641.76811.76991.77161.7733注:计算公式:自然对数值=lnN 。表示以自然数e 为底, N 的对数值。如 N=5.83,则查纵列5.8 横列 3 对应的数值,即 ln(5.83)=1.7630。445五、自然对数表续表N01234567895.91.77501.77661.77831.78001.78171.78341.78511.78671.78841.79016.01.79181.79341.79511.79671.79841.80011.80171.80341.80501.80666.11.80831.80991.
57、81161.81321.81481.81651.81811.81971.82131.82296.21.82451.82621.82781.82941.83101.83261.83421.83581.83741.83906.31.84051.84211.84371.84531.84691.84851.85001.85161.85321.85476.41.85631.85791.85941.86101.86251.86411.86561.86721.86871.87036.51.87181.87331.87491.87641.87791.87951.88101.88251.88401.88566.
58、61.88711.88861.89011.89161.89311.89461.89611.89761.89911.90066.71.90211.90361.90511.90661.90811.90951.91101.91251.91401.91556.81.91691.91841.91991.92131.92281.92421.92571.92721.92861.93016.91.93151.93301.93441.93591.93731.93871.94021.94161.94301.94457.01.94591.94731.94881.95021.95161.95301.95441.955
59、91.95731.95877.11.96011.96151.96291.96431.96571.96711.96851.96991.97131.97277.21.97411.97551.97691.97821.97961.98101.98241.98381.98511.98657.31.98791.98921.99061.99201.99331.99471.99611.99741.99882.00017.42.00152.00282.00422.00552.00692.00822.00962.01092.01222.01367.52.01492.01622.01762.01892.02022.
60、02152.02292.02422.02552.02687.62.02812.02952.03082.03212.03342.03472.03602.03732.03862.03997.72.04122.04252.04382.04512.04642.04772.04902.05032.05162.05287.82.05412.05542.05672.05802.05922.06052.06182.06312.06432.06567.92.06692.06812.06942.07072.07192.07322.07442.07572.07692.07828.02.07942.08072.081
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