複利現值

複利現值

複利現值是複利終值的對稱概念,指未來一定時間的特定資金按複利計算的現在價值,或者說是為取得將來一定本利和現在所需要的本金。也可以認為是將來這些面值的實際支付能力(不考慮通貨膨脹因素)。

計算方法


複利現值計算,是指已知終值F、利率i、期數n時,求現值P。
上式中的是把終值折算為現值的係數,稱為複利現值係數,或稱作1元的複利現值,用符號(,i,n)來表示。例如,(,10%,5)表示利率為10%時5期的複利現值係數。為了便於計算,可編製“複利現值係數表”。該表的使用方法與“複利終值係數表”相同。

實例


某人擬在5年後獲得本利和10000元。假設年投資報酬率為10%,他初始應投入多少元?
P=10000*0.6209(查表)
=6209(元)
故此人初始應投入6209元。

複利現值係數


1%~10%利率
複利現值係數表
利率 —— 期限1%2%3%4%5%6%7%8%9%10%
10.99010.98040.97090.96150.95240.94340.93460.92590.91740.9091
20.98030.96120.94260.92460.90700.89000.87340.85730.84170.8264
30.97060.94230.91510.88900.86380.83960.81630.79380.77220.7513
40.96100.92380.88850.85480.82270.79210.76290.73500.70840.6830
50.95150.90570.86260.82190.78350.74730.71300.68060.64990.6209
60.94200.88800.83750.79030.74620.70500.66630.63020.59630.5645
70.93270.87060.81310.75990.71070.66510.62270.58350.54700.5132
80.92350.85350.78940.73070.67680.62740.58200.54030.50190.4665
90.91430.83680.76640.70260.64460.59190.54390.50020.46040.4241
100.90530.82030.74410.67560.61390.55840.50830.46320.42240.3855
110.89630.80430.72240.64960.58470.52680.47510.42890.38750.3505
120.88740.78850.70140.62460.55680.49700.44400.39710.35550.3186
130.87870.77300.68100.60060.53030.46880.41500.36770.32620.2897
140.87000.75790.66110.57750.50510.44230.38780.34050.29920.2633
150.86130.74300.64190.55530.48100.41730.36240.31520.27450.2394
160.85280.72840.62320.53390.45810.39360.33870.29190.25190.2176
170.84440.71420.60500.51340.43630.37140.31660.27030.23110.1978
180.83600.70020.58740.49360.41550.35030.29590.25020.21200.1798
190.82770.68640.57030.47460.39570.33050.27650.23170.19450.1635
200.81950.67300.55370.45640.37690.31180.25840.21450.17840.1486
210.81140.65980.53750.43880.35890.29420.24150.19870.16370.1351
220.80340.64680.52190.42200.34180.27750.22570.18390.15020.1228
230.79540.63420.50670.40570.32560.26180.21100.17030.13780.1117
240.78760.62170.49190.39010.31010.24700.19710.15770.12640.1015
250.77980.60950.47760.37510.29530.23300.18420.14600.11600.0923
260.77200.59760.46370.36070.28120.21980.17220.13520.10640.0839
270.76440.58590.45020.34680.26780.20740.16090.12520.09760.0763
280.75680.57440.43710.33350.25510.19560.15040.11590.08950.0693
290.74930.56310.42430.32070.24290.18460.14060.10730.08220.0630
300.74190.55210.41200.30830.23140.17410.13140.09940.07540.0573
310.73460.54120.40000.29650.22040.16430.12280.09200.06910.0521
320.72730.53060.38830.28510.20990.15500.11480.08520.06340.0474
330.72010.52020.37700.27410.19990.14620.10720.07890.05820.0431
340.71300.51000.36600.26360.19040.13790.10020.07300.05340.0391
350.70590.50000.35540.25340.18130.13010.09370.06760.04900.0356
360.69890.49020.34500.24370.17270.12270.08750.06260.04490.0323
370.69200.48060.33500.23430.16440.11580.08180.05800.04120.0294
380.68520.47120.32520.22530.15660.10920.07650.05370.03780.0267
390.67840.46190.31580.21660.14910.10310.07150.04970.03470.0243
400.67170.45290.30660.20830.14200.09720.06680.04600.03180.0221
410.66500.44400.29760.20020.13530.09170.06240.04260.02920.0201
420.65840.43530.28900.19260.12880.08650.05830.03950.02680.0183
430.65190.42680.28050.18520.12270.08160.05450.03650.02460.0166
440.64540.41840.27240.17800.11690.07700.05090.03380.02260.0151
450.63910.41020.26440.17120.11130.07270.04760.03130.02070.0137
460.63270.40220.25670.16460.10600.06850.04450.02900.01890.0125
470.62650.39430.24930.15820.10090.06470.04160.02690.01740.0113
480.62030.38650.24200.15220.09610.06100.03890.02490.01600.0103
490.61410.37900.23500.14630.09160.05750.03630.02300.01470.0094
500.60800.37150.22810.14070.08720.05430.03390.02130.01340.0085
11%~15%利率
複利現值係數表(續表二)
利率 —— 期限11%12%13%14%15%
10.90090.89290.88500.87720.8696
20.81160.79720.78310.76950.7561
30.73120.71180.69310.67500.6575
40.65870.63550.61330.59210.5718
50.59350.56740.54280.51940.4972
60.53460.50660.48030.45560.4323
70.48170.45230.42510.39960.3759
80.43390.40390.37620.35060.3269
90.39090.36060.33290.30750.2843
100.35220.32200.29460.26980.2472
110.31730.28750.26070.23660.2149
120.28580.25670.23070.20760.1869
130.25750.22920.20420.18210.1625
140.23200.20460.18070.15970.1413
150.20900.18270.15990.14010.1229
160.18830.16310.14150.12290.1069
170.16960.14560.12520.10780.0929
180.15280.13000.11080.09460.0808
190.13770.11610.09810.08290.0703
200.12400.10370.08680.07280.0611
210.11170.09260.07680.06380.0531
220.10070.08260.06800.05600.0462
230.09070.07380.06010.04910.0402
240.08170.06590.05320.04310.0349
250.07360.05880.04710.03780.0304
260.06630.05250.04170.03310.0264
270.05970.04690.03690.02910.0230
280.05380.04190.03260.02550.0200
290.04850.03740.02890.02240.0174
300.04370.03340.02560.01960.0151
310.03940.02980.02260.01720.0131
320.03550.02660.02000.01510.0114
330.03190.02380.01770.01320.0099
340.02880.02120.01570.01160.0086
350.02590.01890.01390.01020.0075
360.02340.01690.01230.00890.0065
370.02100.01510.01090.00780.0057
380.01900.01350.00960.00690.0049
390.01710.01200.00850.00600.0043
400.01540.01080.00750.00530.0037
410.01390.00960.00670.00470.0032
420.01250.00860.00590.00410.0028
430.01120.00760.00520.00360.0024
440.01010.00680.00460.00310.0021
450.00910.00610.00410.00270.0019
460.00820.00540.00360.00240.0016
470.00740.00490.00320.00210.0014
480.00670.00430.00280.00190.0012
490.00600.00390.00250.00160.0011
500.00540.00350.00220.00149.2280(-4)
16%~20%利率
複利現值係數表(續表二)
利率 —— 期數16%17%18%19%20%
10.86210.85470.84750.84030.8333
20.74320.73050.71820.70620.6944
30.64070.62440.60860.59340.5787
40.55230.53370.51580.49870.4823
50.47610.45610.43710.41900.4019
60.41040.38980.37040.35210.3349
70.35380.33320.31390.29590.2791
80.30500.28480.26600.24870.2326
90.26300.24340.22550.20900.1938
100.22670.20800.19110.17560.1615
110.19540.17780.16190.14760.1346
120.16850.15200.13720.12400.1122
130.14520.12990.11630.10420.0935
140.12520.11100.09850.08760.0779
150.10790.09490.08350.07360.0649
160.09300.08110.07080.06180.0541
170.08020.06930.06000.05200.0451
180.06910.05920.05080.04370.0376
190.05960.05060.04310.03670.0313
200.05140.04330.03650.03080.0261
210.04430.03700.03090.02590.0217
220.03820.03160.02620.02180.0181
230.03290.02700.02220.01830.0151
240.02840.02310.01880.01540.0126
250.02450.01970.01600.01290.0105
260.02110.01690.01520.01090.0087
270.01820.01440.01150.00910.0073
280.01570.01230.00970.00770.0061
290.01350.01050.00820.00640.0051
300.01160.00900.00700.00540.0042
310.01000.00770.00590.00460.0035
320.00870.00660.00500.00380.0029
330.00750.00560.00420.00320.0024
340.00640.00480.00360.00270.0020
350.00550.00410.00300.00230.0017
360.00480.00350.00260.00190.0014
370.00410.00300.00220.00160.0012
380.00360.00260.00190.00139.7974(-4)
390.00310.00220.00160.00118.1645(-4)
400.00260.00190.00139.5087(-4)6.8038(-4)
410.00230.00160.00117.9905(-4)5.6698(-4)
420.00200.00149.5710(-4)6.7147(-4)4.7248(-4)
430.00170.00128.1110(-4)5.6426(-4)3.9374(-4)
440.00159.9959(-4)6.8737(-4)4.7417(-4)3.2811(-4)
450.00138.5435(-4)5.8252(-4)3.9846(-4)2.7343(-4)
460.00117.3021(-4)4.9366(-4)3.3484(-4)2.2786(-4)
479.3427(-4)6.2411(-4)4.1836(-4)2.8138(-4)1.8988(-4)
488.0541(-4)5.3343(-4)3.5454(-4)2.3645(-4)1.5823(-4)
496.9432(-4)4.5592(-4)3.0046(-4)1.9870(-4)1.3186(-4)
505.9855(-4)3.8968(-4)2.5462(-4)1.6698(-4)1.0988(-4)
21%~25%利率
複利現值係數表(續表三)
利率 —— 期數21%22%23%24%25%
10.82640.81970.81300.80650.8000
20.68300.67190.66100.65040.6400
30.56450.55070.53740.52450.5120
40.46650.45140.43690.42300.4096
50.38550.37000.35520.34110.3277
60.31860.30330.28880.27510.2621
70.26330.24860.23480.22180.2097
80.21760.20380.19090.17890.1678
90.17990.16700.15520.14430.1342
100.14860.13690.12620.11640.1074
110.12280.11220.10260.09380.0859
120.10150.09200.08340.07570.0687
130.08390.07540.06780.06100.0550
140.06930.06180.05510.04920.0440
150.05730.05070.04480.03970.0352
160.04740.04150.03640.03200.0281
170.03910.03400.02960.02580.0225
180.03230.02790.02410.02080.0180
190.02670.02290.01960.01680.0144
200.02210.01870.01590.01350.0115
210.01830.01540.01290.01090.0092
220.01510.01260.01050.00880.0074
230.01250.01030.00860.00710.0059
240.01030.00850.00700.00570.0047
250.00850.00690.00570.00460.0038
260.00700.00570.00460.00370.0030
270.00580.00470.00370.00300.0024
280.00480.00380.00300.00240.0019
290.00400.00310.00250.00190.0015
300.00330.00260.00200.00160.0012
310.00270.00210.00160.00139.9035(-4)
320.00220.00170.00130.00107.9228(-4)
330.00190.00140.00118.2620(-4)6.3383(-4)
340.00150.00128.7745(-4)6.6629(-4)5.0706(-4)
350.00139.4931(-4)7.1338(-4)5.3733(-4)4.0565(-4)
360.00107.7812(-4)5.7998(-4)4.3333(-4)3.2452(-4)
378.6485(-4)6.3780(-4)4.7153(-4)3.4946(-4)2.5961(-4)
387.1475(-4)5.2279(-4)3.8336(-4)2.8182(-4)2.0769(-4)
395.9070(-4)4.2852(-4)3.1167(-4)2.2728(-4)1.6615(-4)
404.8819(-4)3.5124(-4)2.5339(-4)1.8328(-4)1.3292(-4)
414.0346(-4)2.8790(-4)2.0601(-4)1.4781(-4)1.0634(-4)
423.3344(-4)2.3599(-4)1.6749(-4)1.1920(-4)8.5071(-5)
432.7557(-4)1.9343(-4)1.3617(-4)9.6132(-5)6.8056(-5)
442.2774(-4)1.5855(-4)1.1071(-4)7.7526(-5)5.4445(-5)
451.8822(-4)1.2996(-4)9.0006(-5)6.2521(-5)4.3556(-5)
461.5555(-4)1.0652(-4)7.3175(-5)5.0420(-5)3.4845(-5)
471.2855(-4)8.7315(-5)5.9492(-5)4.0661(-5)2.7876(-5)
481.0624(-4)7.1570(-5)4.8368(-5)3.2791(-5)2.2301(-5)
498.7805(-4)5.8664(-5)3.9323(-5)2.6445(-5)1.7841(-5)
507.2566(-4)4.8085(-5)3.1970(-5)2.1326(-5)1.4272(-5)
26%~30%利率
複利現值係數表(續表四)
利率 —— 期數26%27%28%29%30%
10.79370.78740.78130.77520.7692
20.62990.62000.61040.60090.5917
30.49990.48820.47680.46580.4552
40.39680.38440.37250.36110.3501
50.31490.30270.29100.27990.2693
60.24990.23830.22740.21700.2072
70.19830.18770.17760.16820.1594
80.15740.14780.13880.13040.1226
90.12490.11640.10840.10110.0943
100.09920.09160.08470.07840.0725
110.07870.07210.06620.06070.0558
120.06250.05680.05170.04710.0429
130.04960.04470.04040.03650.0330
140.03930.03520.03160.02830.0254
150.03120.02770.02470.02190.0195
160.02480.02180.01930.01700.0150
170.01970.01720.01500.01320.0116
180.01560.01350.01180.01020.0089
190.01240.01070.00920.00790.0068
200.00980.00840.00720.00610.0053
210.00780.00660.00560.00480.0040
220.00620.00520.00440.00370.0031
230.00490.00410.00340.00290.0024
240.00390.00320.00270.00220.0018
250.00310.00250.00210.00170.0014
260.00250.00200.00160.00130.0011
270.00190.00160.00130.00108.3855(-4)
280.00150.00129.9568(-4)8.0073(-4)6.4504(-4)
290.00129.7654(-4)7.7788(-4)6.2072(-4)4.9618(-4)
309.7473(-4)7.6893(-4)6.0772(-4)4.8118(-4)3.8168(-4)
317.7359(-4)6.0546(-4)4.7478(-4)3.7301(-4)2.9360(-4)
326.1396(-4)4.7674(-4)3.7092(-4)2.8915(-4)2.2585(-4)
334.8727(-4)3.7538(-4)2.8978(-4)2.2415(-4)1.7373(-4)
343.8672(-4)2.9558(-4)2.2639(-4)1.7376(-4)1.3364(-4)
353.0692(-4)2.3274(-4)1.7687(-4)1.3470(-4)1.0280(-4)
362.4359(-4)1.8326(-4)1.3818(-4)1.0442(-4)7.9075(-5)
371.9333(-4)1.4430(-4)1.0795(-4)8.0943(-5)6.0827(-5)
381.5343(-4)1.1362(-4)8.4338(-5)6.2747(-5)4.6790(-5)
391.2177(-4)8.9465(-5)6.5889(-5)4.8641(-5)3.5992(-5)
409.6645(-5)7.0445(-5)5.1476(-5)3.7706(-5)2.7686(-5)
417.6702(-5)5.5469(-5)4.0215(-5)2.9230(-5)2.1297(-5)
426.0875(-5)4.3676(-5)3.1418(-5)2.2659(-5)1.6382(-5)
434.8313(-5)3.4391(-5)2.4545(-5)1.7565(-5)1.2602(-5)
443.8344(-5)2.7079(-5)1.9176(-5)1.3616(-5)9.6938(-6)
453.0432(-5)2.1322(-5)1.4981(-5)1.0555(-5)7.4567(-6)
462.4152(-5)1.6789(-5)1.1704(-5)8.1823(-6)5.7360(-6)
471.9168(-5)1.3220(-5)9.1439(-6)6.3428(-6)4.4123(-6)
481.5213(-5)1.0409(-5)7.1437(-6)4.9169(-6)3.3941(-6)
491.2074(-5)8.1963(-6)5.5810(-6)3.8116(-6)2.6108(-6)
509.5824(-6)6.4538(-6)4.3602(-6)2.9547(-6)2.0083(-6)
31%~35%利率
複利現值係數表(續表五)
利率 —— 期數31%32%33%34%35%
10.76340.75760.75190.74630.7407
20.58270.57390.56530.55690.5487
30.44480.43480.42510.41560.4064
40.33960.32940.31960.31020.3011
50.25920.24950.24030.23150.2230
60.19790.18900.18070.17270.1652
70.15100.14320.13580.12890.1224
80.11530.10850.10210.09620.0906
90.08800.08220.07680.07180.0671
100.06720.06230.05770.05360.0497
110.05130.04720.04340.04000.0368
120.03920.03570.03260.02980.0273
130.02990.02710.02450.02230.0202
140.02280.02050.01850.01660.0150
150.01740.01550.01390.01240.0111
160.01330.01330.01040.00930.0082
170.01010.01010.00780.00690.0061
180.00770.00680.00590.00520.0045
190.00590.00510.00440.00380.0033
200.00450.00390.00330.00290.0025
210.00340.00290.00250.00210.0018
220.00260.00220.00190.00160.0014
230.00200.00170.00140.00120.0010
240.00150.00130.00118.9019(-4)7.4471(-4)
250.00129.6750(-4)8.0114(-4)6.6432(-4)5.5164(-4)
268.9320(-4)7.3296(-4)6.0236(-4)4.9576(-4)4.0862(-4)
276.8183(-4)5.5527(-4)4.5290(-4)3.6997(-4)3.0268(-4)
285.2048(-4)4.2066(-4)3.4052(-4)2.7610(-4)2.2421(-4)
293.9731(-4)3.9731(-4)2.5604(-4)2.0604(-4)1.6608(-4)
303.0329(-4)2.4142(-4)1.9250(-4)1.5376(-4)1.2302(-4)
312.3152(-4)1.8290(-4)1.4474(-4)1.1475(-4)9.1128(-5)
321.7673(-4)1.3856(-4)1.0883(-4)8.5634(-5)6.7502(-5)
331.3491(-4)1.0497(-4)8.1827(-5)6.3906(-5)5.0002(-5)
341.0299(-4)7.9522(-5)6.1524(-5)4.7691(-5)3.7038(-5)
357.8615(-5)6.0244(-5)4.6259(-5)3.5590(-5)2.7436(-5)
366.0011(-5)4.5639(-5)3.4781(-5)2.6560(-5)2.0323(-5)
374.5810(-5)3.4575(-5)2.6151(-5)1.9821(-5)1.5054(-5)
383.4970(-5)2.6193(-5)1.9662(-5)1.4792(-5)1.1151(-5)
392.6694(-5)1.9843(-5)1.4784(-5)1.1039(-5)8.2601(-6)
402.0377(-5)1.5033(-5)1.1116(-5)8.2377(-6)6.1186(-6)
411.5555(-5)1.1389(-5)8.3576(-6)6.1476(-6)4.5323(-6)
421.1874(-5)8.6277(-6)6.2839(-6)4.5877(-6)3.3572(-6)
439.0643(-6)6.5361(-6)4.7248(-6)3.4237(-6)2.4868(-6)
446.9193(-6)4.9516(-6)3.5524(-6)2.5550(-6)1.8421(-6)
455.2819(-6)3.7512(-6)2.6710(-6)1.9067(-6)1.3645(-6)
464.0320(-6)2.8418(-6)2.0083(-6)1.4229(-6)1.0108(-6)
473.0779(-6)2.1529(-6)1.5100(-6)1.0619(-6)7.4871(-7)
482.3495(-6)1.6310(-6)1.1353(-6)7.9245(-7)5.5460(-7)
491.7935(-6)1.2356(-6)8.5363(-7)5.9138(-7)4.1081(-7)
501.3691(-6)9.3606(-7)6.4183(-7)4.4133(-7)3.0431(-7)
36%~40%利率
利率 —— 期數36%37%38%39%40%
10.73530.72990.72460.71940.7143
20.54070.53280.52510.51760.5102
30.39750.38890.38050.37240.3644
40.29230.28390.27570.26790.2603
50.21490.20720.19980.19270.1859
60.15800.15120.14480.13860.1328
70.11620.11040.10490.09970.0949
80.08540.08060.07600.07180.0678
90.06280.05880.05510.05160.0484
100.04620.04290.03990.03710.0346
110.03400.03130.02890.02670.0247
120.02500.02290.02100.01920.0176
130.01840.01670.01520.01380.0126
140.01350.01220.01100.00990.0090
150.00990.00890.00800.00720.0064
160.00730.00650.00580.00510.0046
170.00540.00470.00420.00370.0033
180.00390.00350.00300.00270.0023
190.00290.00250.00220.00190.0017
200.00210.00180.00160.00140.0012
210.00160.00130.00129.9241(-4)8.5371(-4)
220.00129.8208(-4)8.3687(-4)7.1396(-4)6.0979(-4)
238.4841(-4)7.1685(-4)6.0643(-4)5.1364(-4)4.3557(-4)
246.2383(-4)5.2325(-4)4.3944(-4)3.6953(-4)3.1112(-4)
254.5870(-4)3.8193(-4)3.1844(-4)2.6585(-4)2.2223(-4)
263.3728(-4)2.7878(-4)2.3075(-4)1.9126(-4)1.5873(-4)
272.4800(-4)2.0350(-4)1.6721(-4)1.3759(-4)1.1338(-4)
281.8235(-4)1.4853(-4)1.2117(-4)9.8989(-5)8.0987(-5)
291.3408(-4)1.0842(-4)8.7802(-5)7.1215(-5)5.7848(-5)
309.8590(-5)7.9138(-5)6.3625(-5)5.1234(-5)4.1320(-5)
317.2493(-5)5.7765(-5)4.6105(-5)3.6859(-5)2.9514(-5)
325.3303(-5)4.2164(-5)3.3409(-5)2.6517(-5)2.1082(-5)
333.9194(-5)3.0777(-5)2.4210(-5)1.9077(-5)1.5058(-5)
342.8819(-5)2.2465(-5)1.7543(-5)1.3725(-5)1.0756(-5)
352.1190(-5)1.6398(-5)1.2713(-5)9.8737(-6)7.6828(-6)
361.5581(-5)1.1969(-5)9.2120(-6)7.1034(-6)5.4877(-6)
371.1457(-5)8.7365(-6)6.6753(-6)5.1104(-6)3.9198(-6)
388.4241(-6)6.3770(-6)4.8372(-6)3.6765(-6)2.7999(-6)
396.1942(-6)4.6548(-6)3.5052(-6)2.6450(-6)1.9999(-6)
404.5545(-6)3.3976(-6)2.5400(-6)1.9029(-6)1.4285(-6)
413.3489(-6)2.4800(-6)1.8406(-6)1.3690(-6)1.0204(-6)
422.4624(-6)1.8102(-6)1.3338(-6)9.8487(-7)7.2882(-7)
431.8106(-6)1.3213(-6)9.6649(-7)7.0854(-7)5.2059(-7)
441.3313(-6)9.6448(-7)7.0036(-7)5.0974(-7)3.7185(-7)
459.7892(-7)7.0400(-7)5.0751(-7)3.6672(-7)2.6561(-7)
467.1980(-7)5.1387(-7)3.6776(-7)2.6383(-7)1.8972(-7)
475.2926(-7)3.7509(-7)2.6649(-7)1.8980(-7)1.3551(-7)
483.8916(-7)2.7379(-7)1.9311(-7)1.3655(-7)9.6795(-8)
492.8615(-7)1.9984(-7)1.3993(-7)9.8237(-8)6.9140(-8)
502.1040(-7)1.4587(-7)1.0140(-7)7.0674(-8)4.9385(-8)
41%~45%利率
複利現值係數表(續表七)
利率 —— 期數41%42%43%44%45%
10.70920.70420.69930.69440.6897
20.50300.49590.48900.48230.4756
30.35670.34920.34200.33490.3280
40.25300.24590.23910.23260.2262
50.17940.17320.16720.16150.1560
60.12730.12200.11690.11220.1076
70.09030.08590.08180.07790.0742
80.06400.06050.05720.05410.0512
90.04540.04260.04000.03760.0353
100.03220.03000.02800.02610.0243
110.02280.02110.01960.01810.0168
120.01620.01490.01370.01260.0116
130.01150.01050.00960.00870.0080
140.00810.00740.00670.00610.0055
150.00580.00520.00470.00420.0038
160.00410.00370.00330.00290.0026
170.00290.00260.00230.00200.0018
180.00210.00180.00160.00140.0012
190.00150.00130.00119.7974(-4)8.5902(-4)
200.00108.9999(-4)7.8213(-4)6.8037(-4)5.9243(-4)
217.3519(-4)6.3379(-4)5.4694(-4)4.7248(-4)4.0858(-4)
225.2141(-4)4.4633(-4)3.8248(-4)3.2811(-4)2.8178(-4)
233.6979(-4)3.1432(-4)2.6747(-4)2.2785(-4)1.9433(-4)
242.6227(-4)2.2135(-4)1.8704(-4)1.5823(-4)1.3402(-4)
251.8600(-4)1.5588(-4)1.3079(-4)1.0988(-4)9.2427(-5)
261.3192(-4)1.0977(-4)9.1467(-5)7.6309(-5)6.3743(-5)
279.3559(-5)7.7306(-5)6.3963(-5)5.2992(-5)4.3961(-5)
286.6354(-5)5.4441(-5)4.4729(-5)3.6800(-5)3.0318(-5)
294.7059(-5)3.8339(-5)3.1279(-5)2.5556(-5)2.0909(-5)
303.3375(-5)2.6999(-5)2.1873(-5)1.7747(-5)1.4419(-5)
312.3671(-5)1.9013(-5)1.5296(-5)1.2324(-5)9.9447(-6)
321.6788(-5)1.3390(-5)1.0697(-5)8.5586(-6)6.8584(-6)
331.1906(-5)9.4294(-6)7.4801(-6)5.9434(-6)4.7299(-6)
348.4440(-6)6.6404(-6)5.2308(-6)4.1274(-6)3.2620(-6)
355.9887(-6)4.6764(-6)3.6580(-6)2.8662(-6)2.2497(-6)
364.2473(-6)3.2932(-6)2.5580(-6)1.9904(-6)1.5515(-6)
373.0123(-6)2.3191(-6)1.7888(-6)1.3823(-6)1.0700(-6)
382.1364(-6)1.6332(-6)1.2509(-6)9.5990(-7)7.3793(-7)
391.5151(-6)1.1502(-6)8.7477(-7)6.6660(-7)5.0892(-7)
401.0746(-6)8.0996(-7)6.1172(-7)4.6291(-7)3.5098(-7)
417.6211(-7)5.7040(-7)4.2778(-7)3.2147(-7)2.4206(-7)
425.4050(-7)4.0169(-7)2.9914(-7)2.2324(-7)1.6693(-7)
433.8333(-7)2.8288(-7)2.0919(-7)1.5502(-7)1.1513(-7)
442.7187(-7)1.9921(-7)1.4629(-7)1.0766(-7)7.9398(-8)
451.9281(-7)1.4029(-7)1.0230(-7)7.4763(-8)5.4757(-8)
461.3675(-7)9.8795(-8)7.1539(-8)5.1919(-8)3.7763(-8)
479.6984(-8)6.9574(-8)5.0027(-8)3.6055(-8)2.6044(-8)
486.8783(-8)4.8996(-8)3.4984(-8)2.5038(-8)1.7961(-8)
494.8782(-8)3.4504(-8)2.4464(-8)1.7388(-8)1.2387(-8)
503.4597(-8)2.4299(-8)1.7108(-8)1.2075(-8)8.5428(-9)
46%~50%利率
複利現值係數表(附表八)
利率 —— 期數46%47%48%49%50%
10.68490.68030.67570.67110.6667
20.46910.46280.45650.45040.4444
30.32130.31480.30850.30230.2963
40.22010.21420.20840.20290.1975
50.15070.14570.14080.13620.1317
60.10320.09910.09520.09140.0878
70.07070.06740.06430.06130.0585
80.04840.04590.04340.04120.0390
90.03320.03120.02940.02760.0260
100.02270.02120.01980.01850.0173
110.01560.01440.01340.01240.0116
120.01070.00980.00910.00840.0077
130.00730.00670.00610.00560.0051
140.00500.00450.00410.00380.0034
150.00340.00310.00280.00250.0023
160.00230.00210.00190.00170.0015
170.00160.00140.00130.00110.0010
180.00119.7339(-4)8.6157(-4)7.6322(-4)6.7664(-4)
197.5387(-4)6.6217(-4)5.8214(-4)5.1223(-4)4.5109(-4)
205.1635(-4)4.5046(-4)3.9334(-4)3.4378(-4)3.0073(-4)
213.5366(-4)3.0643(-4)2.6577(-4)2.3072(-4)2.0049(-4)
222.4223(-4)2.0846(-4)1.7957(-4)1.5485(-4)1.3366(-4)
231.6591(-4)1.4181(-4)1.2133(-4)1.0392(-4)8.9104(-5)
241.1364(-4)9.6468(-5)8.1982(-5)6.9748(-5)5.9403(-5)
257.7836(-5)6.5625(-5)5.5393(-5)4.6811(-5)3.9602(-5)
265.3312(-5)4.4643(-5)3.7428(-5)3.1416(-5)2.6401(-5)
273.6515(-5)3.0369(-5)2.5289(-5)2.1085(-5)1.7601(-5)
282.5010(-5)2.0659(-5)1.7087(-5)1.4151(-5)1.1734(-5)
291.7130(-5)1.4054(-5)1.1545(-5)9.4973(-6)7.8226(-6)
301.1733(-5)9.5605(-6)7.8010(-6)6.3740(-6)5.2151(-6)
318.0364(-6)6.5037(-6)5.2709(-6)4.2779(-6)3.4767(-6)
325.5044(-6)4.4243(-6)3.5614(-6)2.8710(-6)2.3178(-6)
333.7701(-6)3.0097(-6)2.4064(-6)1.9269(-6)1.5452(-6)
342.5823(-6)2.0474(-6)1.6259(-6)1.2932(-6)1.0301(-6)
351.7687(-6)1.3928(-6)1.0986(-6)8.6792(-7)6.8676(-7)
361.2114(-6)9.4749(-7)7.4230(-7)5.8250(-7)4.5784(-7)
378.2974(-7)6.4455(-7)5.0155(-7)3.9094(-7)3.0523(-7)
385.6832(-7)4.3847(-7)3.3889(-7)2.6237(-7)2.0348(-7)
393.8926(-7)2.9828(-7)2.2898(-7)1.7609(-7)1.3565(-7)
402.6662(-7)2.0291(-7)1.5471(-7)1.1818(-7)9.0438(-8)
411.8262(-7)1.3803(-7)1.0454(-7)7.9316(-8)6.0292(-8)
421.2508(-7)9.3901(-8)7.0633(-8)5.3232(-8)4.0195(-8)
438.5669(-8)6.3878(-8)4.7725(-8)3.5726(-8)2.6797(-8)
445.8678(-8)4.3455(-8)3.2247(-8)2.3978(-8)1.7864(-8)
454.0190(-8)2.9561(-8)2.1788(-8)1.6092(-8)1.1909(-8)
462.7528(-8)2.0110(-8)1.4722(-8)1.0800(-8)7.9397(-9)
471.8855(-8)1.3680(-8)9.9472(-9)7.2485(-9)5.2931(-9)
481.2914(-8)9.3061(-9)6.7211(-9)4.8647(-9)3.5287(-9)
498.8452(-9)6.3307(-9)4.5413(-9)3.2649(-9)2.3525(-9)
506.0584(-9)4.3066(-9)3.0684(-9)2.1912(-9)1.5683(-9)
[注]本系列表格中凡 形式的係數表示的意思是科學計數法,即,其中: 。