Loan Rate Calculator

Formatting only. This does not change the calculation.
Added to the term in years, for terms such as 5 years and 6 months. To state a tenure purely in months, set the years to 0 and enter the whole tenure here.
The instalment you can afford or have been quoted. Used only when solving for the rate, the term or the loan amount.
Annual interest rate
7.420096 %
Loan Payment Calculator
Payment
500.00
Total interest
4,999.93
Total of payments
29,999.93
Number of payments
60
Payoff time
5 years
Rate per period
0.618341 %
Interest per unit borrowed
0.2
Interest saved by extra payments
0
Payments saved
0
Loan amount
25,000.00
Months to repay
60
Fees deducted at closing
0.00
Net amount advanced
25,000.00
APR
7.42 %
Worked out from Standard annuity-immediate payment formula, PMT = P i / (1 - (1+i)^-n) and 4 other sources.

How this is worked out

4 steps
  1. Solving 25000 = 500 x (1 - (1+i)^-60) / i gives i = 0.618341% a period, a nominal 7.4201% a year.
  2. Rate per period = 7.420096% / 12 = 0.618341%
  3. Payment = P i / (1 - (1+i)^-n) = 500
  4. Over 60 payments the total paid is 29999.93, of which 4999.93 is interest.
Amortisation scheduletable
periodpaymentinterestprincipalbalance
1500154.59345.4124,654.59
2500152.45347.5524,307.04
3500150.3349.723,957.34
4500148.14351.8623,605.48
5500145.96354.0423,251.44
6500143.77356.2322,895.21
7500141.57358.4322,536.78
8500139.35360.6522,176.13
9500137.12362.8821,813.25
10500134.88365.1221,448.13
11500132.62367.3821,080.75
12500130.35369.6520,711.1
13500128.07371.9320,339.17
14500125.77374.2319,964.94
15500123.45376.5519,588.39
16500121.12378.8819,209.51
17500118.78381.2218,828.29
18500116.42383.5818,444.71
19500114.05385.9518,058.76
20500111.66388.3417,670.42
21500109.26390.7417,279.68
22500106.85393.1516,886.53
23500104.42395.5816,490.95
24500101.97398.0316,092.92
2550099.51400.4915,692.43
2650097.03402.9715,289.46
2750094.54405.4614,884
2850092.03407.9714,476.03
2950089.51410.4914,065.54
3050086.97413.0313,652.51
3150084.42415.5813,236.93
3250081.85418.1512,818.78
3350079.26420.7412,398.04
3450076.66423.3411,974.7
3550074.04425.9611,548.74
3650071.41428.5911,120.15
3750068.76431.2410,688.91
3850066.09433.9110,255
3950063.41436.599,818.41
4050060.71439.299,379.12
4150057.99442.018,937.11
4250055.26444.748,492.37
4350052.51447.498,044.88
4450049.74450.267,594.62
4550046.96453.047,141.58
4650044.16455.846,685.74
4750041.34458.666,227.08
4850038.5461.55,765.58
4950035.65464.355,301.23
5050032.78467.224,834.01
5150029.89470.114,363.9
5250026.98473.023,890.88
5350024.06475.943,414.94
5450021.12478.882,936.06
5550018.15481.852,454.21
5650015.18484.821,969.39
5750012.18487.821,481.57
585009.16490.84990.73
595006.13493.87496.86
60499.933.07496.860
Yearly summarytable
yearinterestprincipalendingBalance
11,711.14,288.920,711.1
21,381.824,618.1816,092.92
31,027.234,972.7711,120.15
4645.435,354.575,765.58
5234.355,765.580

Results are general information, not financial, tax, legal, medical or engineering advice.