Capital Recovery Factor Tables
Capital Recovery Factors (CRF’s) are numbers which are multiplied by a loan amount in order to
determine the annual amount required to pay off a loan. The equation to calculate the annual payment
amount is shown below:
𝑨𝒏𝒏𝒂𝒖𝒍 𝑷𝒂𝒚𝒎𝒆𝒏𝒕 𝑨𝒎𝒐𝒖𝒏𝒕 = 𝑪𝒂𝒑𝒊𝒕𝒂𝒍 𝑹𝒆𝒄𝒐𝒗𝒆𝒓𝒚 𝑭𝒂𝒄𝒕𝒐𝒓 (𝑪𝑹𝑭) ∗ 𝑳𝒐𝒂𝒏 𝑨𝒎𝒐𝒖𝒏𝒕
(1)
The annual payment amount represents the amount which would need to be collected through utility rates
to ensure there is sufficient income in order to pay for the debt.
Annual Loan Repayment Calculation Example
The following example shows step by step how to use the tables to calculate the annual loan repayment
amount for your project. The example shown is for a 5-year loan at 4% interest, with a loan amount of
$50,000.
The following tables contain CRF’s for various loan durations (years) and interest rates (%). To determine
the CRF for your situation, find the intersection between the interest rate and loan duration. The number
at the intersection of these two parameters is the CRF for those parameters. For this example, the
method for finding the CRF for a 5-year, 4% interest rate loan is shown below:
Capital Recovery Factors
Interest Rate
Years
1
2
3
4
5
6
7
2.50%
1.025
0.5188
0.3501
0.2658
0.2152
0.1816
0.1575
3%
1.03
0.5226
0.3535
0.269
0.2184
0.1846
0.1605
3.50%
1.035
0.5264
0.3569
0.2723
0.2215
0.1877
0.1635
4%
1.04
0.5302
0.3603
0.2755
0.2246
0.1908
0.1666
4.50%
1.045
0.534
0.3638
0.2787
0.2278
0.1939
0.1697
5%
1.05
0.5378
0.3672
0.282
0.231
0.197
0.1728
6%
1.06
0.5454
0.3741
0.2886
0.2374
0.2034
0.1791
Years
1
2
3
4
5
6
7
All of the necessary information to calculate the annual repayment amount is available. Inserting the
values into Equation 1 above:
𝐴𝑛𝑛𝑢𝑎𝑙 𝑃𝑎𝑦𝑚𝑒𝑛𝑡 𝐴𝑚𝑜𝑢𝑛𝑡 = $50,000 ∗ 0.2246
= $11,230
The annual repayment amount for a 5-year, $50,000 loan at 4% is $11,230.
If your loan has an interest rate or duration which is not shown in the tables below, the CRF can be
calculated using the following equation:
𝑪𝑹𝑭 =
𝒊(𝟏 + 𝒊)𝒏
(𝟏 + 𝒊)𝒏 − 𝟏
(2)
Where: i = decimal interest rate (%rate/100)
n = number of years of the loan
CRF = Capitol Recovery Factor
For example, if the scenario above was for a 5 year loan at 4.25%, the CRF could be calculated using
Equation 2 as follows:
𝑪𝑹𝑭 =
𝟎. 𝟎𝟒𝟓(𝟏 + 𝟎. 𝟎𝟒𝟓)𝟓
= 𝟎. 𝟐𝟐𝟕𝟖
(𝟏 + 𝟎. 𝟎𝟒𝟓)𝟓 − 𝟏
The CRF calculated using this method is then used in Equation 1 as before to calculate the annual loan
repayment amount.
Capital Recovery Factors
Interest Rate
Years
0.25%
0.50%
0.75%
1%
1.25%
1.50%
1.75%
2%
Years
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
36
40
48
50
1.0025
0.5019
0.335
0.2516
0.2015
0.1681
0.1443
0.1264
0.1125
0.1014
0.0923
0.0847
0.0783
0.0728
0.068
0.0638
0.0602
0.0569
0.054
0.0513
0.0489
0.0468
0.0448
0.043
0.0413
0.0398
0.0383
0.037
0.0358
0.0346
0.0291
0.0263
0.0221
0.0213
1.005
0.5038
0.3367
0.2531
0.203
0.1696
0.1457
0.1278
0.1139
0.1028
0.0937
0.0861
0.0796
0.0741
0.0694
0.0652
0.0615
0.0582
0.0553
0.0527
0.0503
0.0481
0.0461
0.0443
0.0427
0.0411
0.0397
0.0384
0.0371
0.036
0.0304
0.0276
0.0235
0.0227
1.0075
0.5056
0.3383
0.2547
0.2045
0.1711
0.1472
0.1293
0.1153
0.1042
0.0951
0.0875
0.081
0.0755
0.0707
0.0666
0.0629
0.0596
0.0567
0.054
0.0516
0.0495
0.0475
0.0457
0.044
0.0425
0.0411
0.0397
0.0385
0.0373
0.0318
0.029
0.0249
0.0241
1.01
0.5075
0.34
0.2563
0.206
0.1725
0.1486
0.1307
0.1167
0.1056
0.0965
0.0888
0.0824
0.0769
0.0721
0.0679
0.0643
0.061
0.0581
0.0554
0.053
0.0509
0.0489
0.0471
0.0454
0.0439
0.0424
0.0411
0.0399
0.0387
0.0332
0.0305
0.0263
0.0255
1.0125
0.5094
0.3417
0.2579
0.2076
0.174
0.1501
0.1321
0.1182
0.107
0.0979
0.0903
0.0838
0.0783
0.0735
0.0693
0.0657
0.0624
0.0595
0.0568
0.0544
0.0523
0.0503
0.0485
0.0468
0.0453
0.0439
0.0425
0.0413
0.0402
0.0347
0.0319
0.0278
0.027
1.015
0.5113
0.3434
0.2594
0.2091
0.1755
0.1516
0.1336
0.1196
0.1084
0.0993
0.0917
0.0852
0.0797
0.0749
0.0708
0.0671
0.0638
0.0609
0.0582
0.0559
0.0537
0.0517
0.0499
0.0483
0.0467
0.0453
0.044
0.0428
0.0416
0.0362
0.0334
0.0294
0.0286
1.0175
0.5132
0.3451
0.261
0.2106
0.177
0.153
0.135
0.1211
0.1099
0.1007
0.0931
0.0867
0.0812
0.0764
0.0722
0.0685
0.0652
0.0623
0.0597
0.0573
0.0552
0.0532
0.0514
0.0497
0.0482
0.0468
0.0455
0.0443
0.0431
0.0377
0.035
0.031
0.0302
1.02
0.5151
0.3468
0.2626
0.2122
0.1785
0.1545
0.1365
0.1225
0.1113
0.1022
0.0946
0.0881
0.0826
0.0778
0.0737
0.07
0.0667
0.0638
0.0612
0.0588
0.0566
0.0547
0.0529
0.0512
0.0497
0.0483
0.047
0.0458
0.0447
0.0392
0.0366
0.0326
0.0318
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
36
40
48
50
Capital Recovery Factors
Interest Rate
Years
2.50%
3%
3.50%
4%
4.50%
5%
6%
Years
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
40
45
50
1.025
0.5188
0.3501
0.2658
0.2152
0.1816
0.1575
0.1395
0.1255
0.1143
0.1051
0.0975
0.091
0.0855
0.0808
0.0766
0.0729
0.0697
0.0668
0.0641
0.0618
0.0596
0.0577
0.0559
0.0543
0.0528
0.0514
0.0501
0.0489
0.0478
0.0467
0.0458
0.0449
0.044
0.0432
0.0398
0.0373
0.0353
1.03
0.5226
0.3535
0.269
0.2184
0.1846
0.1605
0.1425
0.1284
0.1172
0.1081
0.1005
0.094
0.0885
0.0838
0.0796
0.076
0.0727
0.0698
0.0672
0.0649
0.0627
0.0608
0.059
0.0574
0.0559
0.0546
0.0533
0.0521
0.051
0.05
0.049
0.0482
0.0473
0.0465
0.0433
0.0408
0.0389
1.035
0.5264
0.3569
0.2723
0.2215
0.1877
0.1635
0.1455
0.1314
0.1202
0.1111
0.1035
0.0971
0.0916
0.0868
0.0827
0.079
0.0758
0.0729
0.0704
0.068
0.0659
0.064
0.0623
0.0607
0.0592
0.0579
0.0566
0.0554
0.0544
0.0534
0.0524
0.0516
0.0508
0.05
0.0468
0.0445
0.0426
1.04
0.5302
0.3603
0.2755
0.2246
0.1908
0.1666
0.1485
0.1345
0.1233
0.1141
0.1066
0.1001
0.0947
0.0899
0.0858
0.0822
0.079
0.0761
0.0736
0.0713
0.0692
0.0673
0.0656
0.064
0.0626
0.0612
0.06
0.0589
0.0578
0.0569
0.0559
0.0551
0.0543
0.0536
0.0505
0.0483
0.0466
1.045
0.534
0.3638
0.2787
0.2278
0.1939
0.1697
0.1516
0.1376
0.1264
0.1172
0.1097
0.1033
0.0978
0.0931
0.089
0.0854
0.0822
0.0794
0.0769
0.0746
0.0725
0.0707
0.069
0.0674
0.066
0.0647
0.0635
0.0624
0.0614
0.0604
0.0596
0.0587
0.058
0.0573
0.0543
0.0522
0.0506
1.05
0.5378
0.3672
0.282
0.231
0.197
0.1728
0.1547
0.1407
0.1295
0.1204
0.1128
0.1065
0.101
0.0963
0.0923
0.0887
0.0855
0.0827
0.0802
0.078
0.076
0.0741
0.0725
0.071
0.0696
0.0683
0.0671
0.066
0.0651
0.0641
0.0633
0.0625
0.0618
0.0611
0.0583
0.0563
0.0548
1.06
0.5454
0.3741
0.2886
0.2374
0.2034
0.1791
0.161
0.147
0.1359
0.1268
0.1193
0.113
0.1076
0.103
0.099
0.0954
0.0924
0.0896
0.0872
0.085
0.083
0.0813
0.0797
0.0782
0.0769
0.0757
0.0746
0.0736
0.0726
0.0718
0.071
0.0703
0.0696
0.069
0.0665
0.0647
0.0634
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2
3
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5
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7
8
9
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12
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14
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16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
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33
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45
50