finmat
.pdf381.0995284961.1347995461.2086772471.328348663
391.1022773171.1385822111.2147206331.338311278
401.1050330101.1423774851.2207942361.348348612
411.1077955931.1461854101.2268982081.358461227
421.1105650821.1500060281.2330326991.368649686
431.1133414941.1538393811.2391978621.378914559
441.1161248481.1576865121.2453938611.389256418
451.1189151601.1615444641.2516208211.399675841
461.1217124481.1654162791.2578789251.410173410
471.1245167291.1693010001.2641683191.420749710
481.1273280211.1731986701.2704891611.431405333
491.1301463411.1771093321.2768416071.442140873
501.1329717071.1810330301.2832258151.452956930
60 |
1.1616167821.2209965941.3488501521.565681027 |
70 |
1.1909860931.2623124371.4178305271.687150546 |
80 |
1.2210979541.3050263181.4903385681.818043980 |
90 |
1.2519711361.3491855421.5665546791.959092460 |
100 |
1.2836248891.3948390181.6466684922.111083840 |
Таблица 1. Множитель наращения для сложных процентов: (1+i)n.
|
|
|
(продолжение) |
|
Число |
|
Ставка процентов i |
|
|
периодов |
|
|
|
|
n |
1 |
3 |
5 |
10 |
11.0100000001.030000000 1.0500000001.100000000
21.0201000001.060900000 1.1025000001.210000000
31.0303010001.092727000 1.1576250001.331000000
41.0406040101.125508810 1.2155062501.464100000
51.0510100501.169274074 1.2762815621.610510000
61.0615201511.194052297 1.3400956411.771561000
71.0721353521.229873865 1.4071004231.948717100
81.0828567061.266770081 1.4774554442.143588810
91.0936852731,304773184 1.5513282162.357947691
101.1046221251.343916379 1.6288946272.593742460
111.1156683471.384233871 1.7103393582.853116706
121.1268250301.425760887 1.7958563263.138428377
131.1380932801.468533713 1.8856491423.452271214
141.1494742131.512589725 1.9799315993.797498336
151.1609689551.557967417 2.0789281794.177248169
161.1725786451.604706439 2.1828745884.594972986
171.1843044311.652847632 2.2920183185.054470285
181.1961474761.702433061 2.4066192345.559917314
191.2081089501.753506053 2.5269501956.115909045
121
201.2201900401.806111235 2.6532977056.727499949
211.2323919401.860294572 2.7859625907.400249944
221.2447158601.916103409 2.9252607208.140274939
231.2571630181.973586511 3.0715237568.954302433
241.2697346492.032794106 3.2250999449.849732676
251.2824319952.093777930 3.38635494110.83470594
2в 1.2952563152.156591268 3.55567268811.91817654
271.3082088782.221289006 3.73345632213.10999419
281.3212909672.287927676 3.92012913814.42099361
291.3345038772.356565506 4.11613559515.86309297
301.3478489152.427262471 4.32194237517.44940227
311.3613274042.5О0О803454.53803949419.19434250
321.3749406792.575082756 4.76494146821.11377675
331.3886900852.652335238 5.00318854223.22615442
341.4025769862.731905296 5.25334796925.54766986
351.4166027562.813862454 5.51601536728.10243685
361.4307687842.898278328 5.79181613630.91268053
371.4450764712.985226678 6.08140694334.00394859
381.4595272363.074783478 6.38547729037.40434346
391.4741225093.167026983 6.70475115441.14477779
401.4888637343.262037792 7.03998871245.25925557
411.5037523713.359898926 7.39198814849.78618113
421.5187898953.460695894 7.76158755554.76369924
431.5339777943.564516770 8.14966693360.24006916
441.5493175723.671452274 8.55715027966.26407608
451.5648107473.781595842 8.98500779372.89048369
461.5804588553.895043717 9.43425818380.17953206
471.5962634434.011895029 9.90597109288.19748526
481.6122360784.132251879 10.4012696597.01723379
491.6283483384.256219436 10.92133313106.7189572
501.6446318224.383906019 11.46739979117.3908529
601.8166966995.891603104 18.67918589304.4816395
70 2.0067633687.917821913 30.42642553789.7469568
80 2.21671521710.64089056 - 2048.400215
49.56144106
90 2.44863267514.30046711 80.730365045313.022612
100 2.70481382919.21863198 131.501257813780.61234
|
Таблица 2. Коэффициенты наращения |
|
||
|
годовой ренты sn;i=((1+i)n-1)/i |
|
||
Число |
Ставка процентов i |
|
||
периодов |
|
|
|
|
n |
0.25 |
0.333 |
0.5 |
0.75 |
11.0000000001.0000000001.0000000001.000000000
22.0025000012.0033333342.0050000002.007500000
з3.0075062513.0100111123.0150249993.022656250
4 4.0150250174.0200444824.0301001244.045225422
122
5 6.0250625805.0334446315.0502506245.075564612
з6.0376252376.0302227806.0755018776.113631347
77.0527193007.0703901897.10S8793877.159483582
88.0703510988.0939581578.1414087848.213179709
g |
9.0905269769.1209380179.1821158279.274778556 |
10 |
10.1132532910.1513411410.2280264110.34433940 |
IX |
11.1385364311.1851789511.2791665411.42192194 |
1212.1663827712.2224628812.3355623712.50758636
1313.1967987313.2632044213.3972401813.60139325
1414.2297907214.3074151014.4642263814.70340370
1515.2653652015.3551064915.5365475115.81367923
1616.3035286116.4062901816.6142302516.93228182
1717.3442874417.4609778117.6973014018.05927394
1818.3876481518.5191810718.7857879119.19471849
1919.4336172719.5809116719.8797168520.33867888
2020.4822013220.6461813820.9791154321.49121897
2121.5334068221.7150019822.0840110122.65240312
2222.5872403422.7873853223.1944310723.82229614
2323.6437084423.8633432724.3104032225.00096336
2424.7028177124.9428877525.4319552426.18847058
2525.7645747626.0260307126.5591150127.38488411
2626.8289861927.1127841527.6919105928.59027074
2727.8960586628.2031601028.8303701429.80469778
2828.9657988129.2971706329.9745219931.02823301
2930.0382133030.3948278631.1243946032.26094476
3031.1133088431.4961439632.2800165733.50290184
3132.1910921132.6011311133.4414166634.75417361
3233.2715698433.7098015434.6086237436.01482991
3334.3547487634.8221675535.7816668637.28494113
3435.4406356435.9382414436.9605751938.56457819
3536.5292372337.0580355838.1453780739.85381253
3637.6205603238.1815623639.3361049641.15271612
3738.7146117239.3088342440.5327854842.46136149
3839.8113982540.4398636941.7354494143.77982170
3940.9109267541.5746632342.9441266645.10817036
4042.0132040642.7132454444.1588472946.44648164
4143.1182370743.8556229345.3796415347.79483025
4244.2260326745.0018083446.6065397349.15329148
4345.3365977546.1518143747.8395724350.52194117
4446.4499392447.3056537549.0787702951.90085573
4547.5660640948.4633392650.3241641553.29011214
4648.6849792549.6248837251.5757849754.68978799
4749.8066917050.7903000052.8336638956.09996140
4850.9312084351.9596010054.0978322157.52071111
4952.0585364553.1327996755.3683213758.95211644
5053.1886827954.309909015664516298 60.39425731
60 |
64.6467126466.2989782069.7700305075.42413692 |
70 |
76.3944373878.6937311683.5661054791.62007285 |
|
123 |
80 |
88.4391814291.5078953498.06771355109.0725307 |
90 |
100.7884543104.7556627113.3109358127.8789947 |
100 |
113.4499555118.4517054129.3336984148.1445120 |
Таблица 2. Коэффициенты наращения годовой рейты
|
|
|
(продолжение) |
|
|
|
Ставка процентов i |
|
|
Число |
|
|
|
|
периодов |
|
|
|
|
n |
1 |
3 |
5 |
10 |
11.0000000001.0000000001.0000000001.000000000
22.0100000002.0300000002.0500000002.100000000
33.0301000003.0909000003.1525000003.310000000
44.0604010004.1836270004.3101250004.641000000
55.1010050105.3091358105.5256312506.105100000
66.1520150606.4684098856.8019128127.718610000
77.2135352117.6624621818.1420084539.487171000
88.2856705638.8923360479.54910887611.43588810
99.36852726910.1591061311.0265643213.57947691
1010.4622125411.4638793112.5778925415.93742460
1111.5668346712.8077956914.2067871618.53116706
1212.6825030114.1920295615.9171265221.38428377
1313.8093280415.6177904517.7129828524.52271214
1414.9474213217.0863241619.5986319927.97498336
1516.0968955418.5989138921.5785635931.77248169
1617.2578644920.1568813023.6574917735.94972986
1718.4304431421.7615877425.8403663640.54470285
1819.6147475723.4144353828.1323846745.59917314
1920.8108950425.1168684430.5390039151.15909045
2022.0190040026.8703744933.0659541057.27499949
2123.2391940428.6764857235.7192518164.00249944
2224.4715859830.5367803038.5052144071.40274939
2325.7163018432.4528837141.4304751279.54302433
2426.9734648534.4264702244.5019988788.49732676
26 |
28.2431995036.4592643247.7270988298.34705943 |
25 |
29.5256315038.5530422551.11345376109.1817654 |
2730.8208878140.7096335254.66912645121.0999419
2832.1290966942.9309225358.40258277134.2099361
2933.4503876645.2188502062.32271191148.6309297
3034.7848915347.5754157166.43884750164.4940227
3136.1327404550.0026781870.76078988181.9434250
3237.4940678552.5027585275.29882937201.1377675
3338.8690085355.0778412880.06377084222.2515442
124
3440.2576986257.7301765285.06695938245.4766986
3541.6602756060.4620818190.32030735271.0243685
3643.0768783663.2759442795.83632272299.1268053
3744.5076471466.17422260101.6281389330.0394659
3845.9527236269.15944928107.7095458364.0434345
3947.4122508572.23423275114.0950231401.4477779
4048.8863733675.40125974120.7997742442.5925557
4150.3752370978.66329753127.8397630487.8518113
4251.8789894682.02319645135.2317511537.6369924
4353.3977793685.48389235142.9933387592.4006916
4454.9317571589.04840912151.1430056652.6407608
4556.4810747292.71986139159.7001559718.9048369
4658.0458854796.50145723168.6851637791.7953206
4759.62634433100.3965010178.1194218871.9748526
4861.22260777104.4083960188.0253929960.1723379
4962.83483385108.5406479198.42666261057.189572
5064.46318219112.7968673209.34799571163.908529
60 |
81.66966986163.0534368353.58371793034.816395 |
70 |
100.6763368230.5940638588.52851077887.469568 |
80 |
121.6715217321.3630186971.228821320474.00215 |
90 |
144.8632675443.34890371594.60730153120.22612 |
100 |
170.4813829607.28773272610.025157137796.1234 |
Таблица 3. Коэффициенты приведения годовой ренты 
|
|
Ставка процентов i |
|
|
Число |
|
|
|
|
периодов |
|
|
|
|
n |
0.25 |
0.333 |
0.5 |
0.75 |
|
0.9975062340.996677741 |
|
0.992555831 |
|
|
1.9925249231.990044260 |
|
1.977722909 |
|
12.9850622682.9801105590.9950248752.955556238
23.9751244573.9668876001.9850993783.926110410
34.9627176634.9503863132.9702481374.889439612
45.9478480435.9306175883.9504956595.845597630
56.9305217396.9075922804.9258663276.794637846
67.9107448777.8813212105.8963844057.736613247
78.8885235688.8518151596.8620740358.671376423
89.8638639089.8190848777.8229592389.599579577
910.8367719810.783141078.77906391910.52067452
1011.8072538411.743994439.73041186911.43491267
1112.7753155612.7016555710.6770267312.34234508
1213.7409631513.6561351211.6189320613.24302242
1314.7042026414.6074436412.5561513114.13699495
1415.6650400415.5555916713.4887077715.02431261
1516.6234813416.5005897114.4166246515.90502492
125
1617.5795325117.4424482115.3399250216.77918106
1718.5331995118.3811776216.2586318617.64682984
1819.4844882919.3167883317.1727680218.50801969
1920.4334047820.2492906918.0823562419.36279870
2021.3799548921.1786950418.9874191420.21121459
2122.3241445322.1050116719.8879792521.05331473
2223.2659795823.0282508320.7840589521.88914614
2324.2054659223.9484227621.6756805522.71875547
2425.1426093924.8655376322.5628662223.54218905
26 |
26.0774158525.7796056123.4456380324.35949286 |
25 |
27.0098911326.6906368224.3240179425.17071251 |
2727.9400410227.5986413525.1980278025.97589331
2828.8678713528.5036292626.0676893526.77508021
29 |
29- |
29.4056105626.9330242327.56831783 |
3079338788 30.3045952427.7940539628.35565045
3130.7165963831.2005932628.6507999629.13712203
3231.6375026332.0936145529.5032835429.91277621
3332.5561123532.9836689830.3515259130.68265629
3433.4724312733.8707664331.1955481731.44680525
3534.3864651134.7549167132.0353713232.20526576
3635 2982195635.6361296132.8710162332.95808016
3736.2077003136.5144148933.7025037233.70529048
3837.1149130337.3897822834.5298544434.44693844
3938.0198633738.2622414835.3530890035.18306545
4038.9225569839.1318021436.1722278635.91371260
4139.8229994839.9984738936.9872914036.63892070
4240.7211964940.8622663437.7982999037.35873022
4341.6171536041.7231890438.6052735338.07318136
4442.6108764142.5812515439.4082323738.78231401
4543.4023704943.4364633340.2071963939.48616775
4644.2916413844.2888338841.0021854640.18478188
4745.1786946545.1383726441.7932193740.87819542
4846.0635358145.9850890142.5803177841.56644707
4946.9461703854.2990689143.3635002848.17337352
5055.6523577062.3409299044.1427863454.30462210
60 |
64.1438534070.1195785051.7255607459.99444012 |
|
70 |
72.4259517177.6436297458.9394175565.27460918 |
|
80 |
80.5038162984.9214166565.8023053770.17462272 |
|
90 |
88.38248348 |
72.33129957 |
100 |
|
78.54264475 |
Таблица 3. Коэффициенты приведения годовой ренты 
(продолжение)
126
|
|
Ставка процентов i |
|
|
Число |
|
|
|
|
периодов |
|
|
|
|
n |
1 |
3 |
5 |
10 |
|
|
0.970873786 |
|
0.909090909 |
|
|
1.913469696 |
|
1.735537190 |
10.9900990102.8286113550.9523809522.486851991
21.9703950593.7170984031.8594104313.169865446
32.9409852074.5797071872.7232480293.790786769
43.9019655525.4171914443.5459505044.355260699
54.8534312396.2302829554.3294766714.868418818
65.7954764757.0196921905.0756920675.334926198
76.7281945297.7861089225.7863733975.759023816
87.6516777528.5302028376.4632127596.144567106
98.5660175769.2526241147.1078216766.495061005
109.4713045319.9540039947.7217349296.813691823
1110.3676282510.634955338.3064142187.103356203
1211.2550774711.296073148.8632516367.366687457
1312.1337400711.937935099.3935729877.606079506
1413.0037030412.561102039.8986409407.823708642
1513.8650525213.1661184710.379658048.021563311
1614.7178737813.7535130810.837769568.201412101
1715.5622512714.3237991111.274066258.364920092
1816.3982685814.8774748611.689586908.513563720
1917.2260085015.4150241412.085320868.648694291
2018.0455529715.9369166412.462210348.771540264
2118.8569831416.4436083912.821152718.883218422
2219.6603793416.9355421213.163002588.984744020
2320.4558211317.4131476913.488573889.077040018
2421.2433872617.8768424213.798641799.160945471
26 |
22.0231557018.3270314714.093944579.237223156 |
25 |
22.7952036618.7641082314.375185309.306566505 |
2723.5596075919.1884545914.643033629.369605914
2824.3164431619.6004413514.898127269.426914467
2925.0657853020.0004284915.141073589.479013152
3025.8077082220.3887655315.372451039.526375593
3126.5422853720.7657917815.592810509.569432357
3227.2695894721.1318366815.802676679.608574870
3327.9896925521.4872200716.002549219.644158973
3428.7026658921.8322525016.192904019.676508157
3529.4085800922.1672354416.374194299.705916506
3630.1075050422.4924615916.546851719.732651369
3730.7995099422.8082151316.711287349.756955790
3831.4846633123.1147719716.867892719.779050718
3932.1630329823.4123999817.017040679.799137017
4032.8346861123.7013592017.159086359.817397288
4133.4996892223.9819021417.294367969.833997535
4234.1581081424.2542739217.423207589.849088668
127
4334.8100080624.5187125417.545911989.862807880
4435.4654535324.7754490717.662773319.875279891
4536.0945084425.0247078317.774069829.886618082
4636.7272360825.2667066417.880066509.896925530
4737.3536990925.5016569317.981015719.906295936
4837.9739594925.7297640118.077157829.914814487
4938.5880787127.6765636718.168721739.967157297
5039.1961175329.1234213518.255925469.987337716
60 |
44.9550384130.2007634518.929289539.995118141 |
|
70 |
50.1685143531.0024071419.342676659.998117832 |
|
80 |
54.8882061131.5989053419.596460489.999274343 |
|
90 |
59.16088148 |
19.75226174 |
100 |
63.02887877 |
19.84791020 |
Таблица 4. Значение коэффициента 
Число членов ренты в
Ставка году, p процентов
i |
2 |
4 |
6 |
12 |
1.001.0024937811.0037422261.0041586051.004575099
1.251.0031152951.0046753691.0051957531.005716317
1.501.0037360421.0056075531.0062319061.006856519
1.751.0043560251.0065387811.0072670701.007995709
2.001.0049752471.0074690581.0083012461.009133892
2.251.0055937101.0083983881.0093344391.010271070
2.501.0062114181.0093267731.0103666531.011407248
2.751.0068283731.0102542171.0113978911.012542429
3.001.0074445781.0111807231.0124281571.013676617
3.251.0080600361.0121062951.0134574541.014809816
3.501.0086747491.0130309351.0144857851.015942028
3.751.0092887201.0139546491.0155131551.017073258
4.001.0099019511.0148774391.0165395661.018203509
4.251.0105144461.0157993071.0175650221.019332784
4.501.0111262071.0167202581.0185895271.020461088
4.751.0117372371.0176402951.0196130841.021588424
5.001.0123475381.0185594211.0206356961.022714794
5.251.0129571131.0194776401.0216573671.023840203
5.501.0135659651.0203949541.0226781001.024964654
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6.001.0147815071.0222268811.0247167651.027210695
6.251.0163882031.0231415011.0257347041.028332292
128
6.501.0159941861.0240552291.0267517181.029452944
6.751.0165994581.0249680681.0277678101.030572656
7.001.0172040221.0258800221.0287829851.031691429
7.251.0178078791.0267910931.0297972441.032809267
7.501.0184110341.0277012851.0308105911.033926174
7.751.0190134871.0286106011.0318230291.035042153
8.001.0196152421.0295190441.0328345621.036157207
8.251.0202163011.0304266161.0338451931.037271339
8.501.0208166661.0313333221.0348549241.038384552
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9.501.0232112381.0349515311.0388849171.042828283
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10.001.0244044241.0367555091.0408945981.045044718
10.251.0250000001.0376562271.0418981201.046151588
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12.501.0303300861.0457250581.0508907911.056073564
12.751.0309190151.0466174641.0518856931.057171631
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13.251.0320949161.0483998331.0538729631.059365174
13.501.0326818941.0492898001.0548653361.060460656
13.751.0332682251.0501789601.0558568701.061555283
14.001.0338539131.0510673141.0568475701.062649057
129