Loan Valuation Calculator

Formatting only. This does not change the calculation.
The nominal annual rate (APR before fees), not the monthly rate.
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.
Loan amount
25,554.34
Loan Payment Calculator
Payment
500.00
Total interest
4,445.64
Total of payments
29,999.98
Number of payments
60
Payoff time
5 years
Rate per period
0.541667 %
Interest per unit borrowed
0.174
Interest saved by extra payments
0
Payments saved
0
Annual interest rate
6.5 %
Months to repay
60
Fees deducted at closing
0.00
Net amount advanced
25,554.34
APR
6.5 %
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. 60 payments of 500 discounted at 0.541667% a period are worth 25554.34 today, which is the most this payment supports.
  2. Rate per period = 6.5% / 12 = 0.541667%
  3. Payment = P i / (1 - (1+i)^-n) = 500
  4. Over 60 payments the total paid is 29999.98, of which 4445.64 is interest.
Amortisation scheduletable
periodpaymentinterestprincipalbalance
1500138.42361.5825,192.76
2500136.46363.5424,829.22
3500134.49365.5124,463.71
4500132.51367.4924,096.22
5500130.52369.4823,726.74
6500128.52371.4823,355.26
7500126.51373.4922,981.77
8500124.48375.5222,606.25
9500122.45377.5522,228.7
10500120.41379.5921,849.11
11500118.35381.6521,467.46
12500116.28383.7221,083.74
13500114.2385.820,697.94
14500112.11387.8920,310.05
15500110.01389.9919,920.06
16500107.9392.119,527.96
17500105.78394.2219,133.74
18500103.64396.3618,737.38
19500101.49398.5118,338.87
2050099.34400.6617,938.21
2150097.17402.8317,535.38
2250094.98405.0217,130.36
2350092.79407.2116,723.15
2450090.58409.4216,313.73
2550088.37411.6315,902.1
2650086.14413.8615,488.24
2750083.89416.1115,072.13
2850081.64418.3614,653.77
2950079.37420.6314,233.14
3050077.1422.913,810.24
3150074.81425.1913,385.05
3250072.5427.512,957.55
3350070.19429.8112,527.74
3450067.86432.1412,095.6
3550065.52434.4811,661.12
3650063.16436.8411,224.28
3750060.8439.210,785.08
3850058.42441.5810,343.5
3950056.03443.979,899.53
4050053.62446.389,453.15
4150051.2448.89,004.35
4250048.77451.238,553.12
4350046.33453.678,099.45
4450043.87456.137,643.32
4550041.4458.67,184.72
4650038.92461.086,723.64
4750036.42463.586,260.06
4850033.91466.095,793.97
4950031.38468.625,325.35
5050028.85471.154,854.2
5150026.29473.714,380.49
5250023.73476.273,904.22
5350021.15478.853,425.37
5450018.55481.452,943.92
5550015.95484.052,459.87
5650013.32486.681,973.19
5750010.69489.311,483.88
585008.04491.96991.92
595005.37494.63497.29
60499.982.69497.290
Yearly summarytable
yearinterestprincipalendingBalance
11,529.44,470.621,083.74
21,229.994,770.0116,313.73
3910.555,089.4511,224.28
4569.695,430.315,793.97
5206.015,793.970

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