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Formula

Formula: Loan Repayment Schedule Calculator
Show calculation steps (1)
  1. Equal principal

    Equal principal: Loan Repayment Schedule Calculator

    Constant principal portion plus declining interest on the current balance B.

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Results

Payment per period
92,013
over 120 payments
Loan amount (base currency) 10,000,000
First payment 92,013
Last payment 94,371.34
Total amount repaid 11,180,503.34
Total interest paid 1,180,503.34
# Payment Interest Principal Balance
1 92,013 16,666.67 75,346.33 9,924,653.67
2 92,013 16,541.09 75,471.91 9,849,181.76
3 92,013 16,415.3 75,597.7 9,773,584.06
4 92,013 16,289.31 75,723.69 9,697,860.37
5 92,013 16,163.1 75,849.9 9,622,010.47
6 92,013 16,036.68 75,976.32 9,546,034.15
7 92,013 15,910.06 76,102.94 9,469,931.21
8 92,013 15,783.22 76,229.78 9,393,701.43
9 92,013 15,656.17 76,356.83 9,317,344.6
10 92,013 15,528.91 76,484.09 9,240,860.5
11 92,013 15,401.43 76,611.57 9,164,248.94
12 92,013 15,273.75 76,739.25 9,087,509.69
13 92,013 15,145.85 76,867.15 9,010,642.53
14 92,013 15,017.74 76,995.26 8,933,647.27
15 92,013 14,889.41 77,123.59 8,856,523.68
16 92,013 14,760.87 77,252.13 8,779,271.56
17 92,013 14,632.12 77,380.88 8,701,890.68
18 92,013 14,503.15 77,509.85 8,624,380.83
19 92,013 14,373.97 77,639.03 8,546,741.8
20 92,013 14,244.57 77,768.43 8,468,973.37
21 92,013 14,114.96 77,898.04 8,391,075.32
22 92,013 13,985.13 78,027.87 8,313,047.45
23 92,013 13,855.08 78,157.92 8,234,889.53
24 92,013 13,724.82 78,288.18 8,156,601.34
25 92,013 13,594.34 78,418.66 8,078,182.68
26 92,013 13,463.64 78,549.36 7,999,633.31
27 92,013 13,332.72 78,680.28 7,920,953.04
28 92,013 13,201.59 78,811.41 7,842,141.63
29 92,013 13,070.24 78,942.76 7,763,198.86
30 92,013 12,938.66 79,074.34 7,684,124.53
31 92,013 12,806.87 79,206.13 7,604,918.4
32 92,013 12,674.86 79,338.14 7,525,580.26
33 92,013 12,542.63 79,470.37 7,446,109.9
34 92,013 12,410.18 79,602.82 7,366,507.08
35 92,013 12,277.51 79,735.49 7,286,771.59
36 92,013 12,144.62 79,868.38 7,206,903.21
37 92,013 12,011.51 80,001.49 7,126,901.72
38 92,013 11,878.17 80,134.83 7,046,766.89
39 92,013 11,744.61 80,268.39 6,966,498.5
40 92,013 11,610.83 80,402.17 6,886,096.33
41 92,013 11,476.83 80,536.17 6,805,560.16
42 92,013 11,342.6 80,670.4 6,724,889.76
43 92,013 11,208.15 80,804.85 6,644,084.91
44 92,013 11,073.47 80,939.53 6,563,145.38
45 92,013 10,938.58 81,074.42 6,482,070.96
46 92,013 10,803.45 81,209.55 6,400,861.41
47 92,013 10,668.1 81,344.9 6,319,516.51
48 92,013 10,532.53 81,480.47 6,238,036.04
49 92,013 10,396.73 81,616.27 6,156,419.77
50 92,013 10,260.7 81,752.3 6,074,667.46
51 92,013 10,124.45 81,888.55 5,992,778.91
52 92,013 9,987.96 82,025.04 5,910,753.88
53 92,013 9,851.26 82,161.74 5,828,592.13
54 92,013 9,714.32 82,298.68 5,746,293.45
55 92,013 9,577.16 82,435.84 5,663,857.61
56 92,013 9,439.76 82,573.24 5,581,284.37
57 92,013 9,302.14 82,710.86 5,498,573.51
58 92,013 9,164.29 82,848.71 5,415,724.8
59 92,013 9,026.21 82,986.79 5,332,738.01
60 92,013 8,887.9 83,125.1 5,249,612.91
61 94,328 13,124.03 81,203.97 5,168,408.94
62 94,328 12,921.02 81,406.98 5,087,001.96
63 94,328 12,717.5 81,610.5 5,005,391.46
64 94,328 12,513.48 81,814.52 4,923,576.94
65 94,328 12,308.94 82,019.06 4,841,557.89
66 94,328 12,103.89 82,224.11 4,759,333.78
67 94,328 11,898.33 82,429.67 4,676,904.11
68 94,328 11,692.26 82,635.74 4,594,268.38
69 94,328 11,485.67 82,842.33 4,511,426.05
70 94,328 11,278.57 83,049.43 4,428,376.61
71 94,328 11,070.94 83,257.06 4,345,119.55
72 94,328 10,862.8 83,465.2 4,261,654.35
73 94,328 10,654.14 83,673.86 4,177,980.49
74 94,328 10,444.95 83,883.05 4,094,097.44
75 94,328 10,235.24 84,092.76 4,010,004.68
76 94,328 10,025.01 84,302.99 3,925,701.69
77 94,328 9,814.25 84,513.75 3,841,187.95
78 94,328 9,602.97 84,725.03 3,756,462.92
79 94,328 9,391.16 84,936.84 3,671,526.08
80 94,328 9,178.82 85,149.18 3,586,376.89
81 94,328 8,965.94 85,362.06 3,501,014.83
82 94,328 8,752.54 85,575.46 3,415,439.37
83 94,328 8,538.6 85,789.4 3,329,649.97
84 94,328 8,324.12 86,003.88 3,243,646.09
85 94,328 8,109.12 86,218.88 3,157,427.21
86 94,328 7,893.57 86,434.43 3,070,992.78
87 94,328 7,677.48 86,650.52 2,984,342.26
88 94,328 7,460.86 86,867.14 2,897,475.11
89 94,328 7,243.69 87,084.31 2,810,390.8
90 94,328 7,025.98 87,302.02 2,723,088.78
91 94,328 6,807.72 87,520.28 2,635,568.5
92 94,328 6,588.92 87,739.08 2,547,829.42
93 94,328 6,369.57 87,958.43 2,459,871
94 94,328 6,149.68 88,178.32 2,371,692.67
95 94,328 5,929.23 88,398.77 2,283,293.9
96 94,328 5,708.23 88,619.77 2,194,674.14
97 94,328 5,486.69 88,841.31 2,105,832.82
98 94,328 5,264.58 89,063.42 2,016,769.41
99 94,328 5,041.92 89,286.08 1,927,483.33
100 94,328 4,818.71 89,509.29 1,837,974.04
101 94,328 4,594.94 89,733.06 1,748,240.97
102 94,328 4,370.6 89,957.4 1,658,283.58
103 94,328 4,145.71 90,182.29 1,568,101.29
104 94,328 3,920.25 90,407.75 1,477,693.54
105 94,328 3,694.23 90,633.77 1,387,059.77
106 94,328 3,467.65 90,860.35 1,296,199.42
107 94,328 3,240.5 91,087.5 1,205,111.92
108 94,328 3,012.78 91,315.22 1,113,796.7
109 94,328 2,784.49 91,543.51 1,022,253.19
110 94,328 2,555.63 91,772.37 930,480.82
111 94,328 2,326.2 92,001.8 838,479.03
112 94,328 2,096.2 92,231.8 746,247.22
113 94,328 1,865.62 92,462.38 653,784.84
114 94,328 1,634.46 92,693.54 561,091.3
115 94,328 1,402.73 92,925.27 468,166.03
116 94,328 1,170.42 93,157.58 375,008.45
117 94,328 937.52 93,390.48 281,617.97
118 94,328 704.04 93,623.96 187,994.01
119 94,328 469.99 93,858.01 94,136
120 94,371.34 235.34 94,136 0

What this calculator does

The Loan Repayment Schedule Calculator works out your periodic payment and produces a complete amortization table showing the interest portion, principal portion, and remaining balance for every payment. It supports two common repayment methods, optional rate changes part-way through the loan, and an initial grace (deferment) period during which only interest is charged. The underlying math is standard amortization and applies to any currency.

How to use it

Enter the loan amount (choose plain currency units or the x10,000 "man-yen" unit), select the repayment method, frequency, and rounding rule, then enter the interest rate and term. For a fixed-rate loan, set the "rate thereafter" equal to the initial rate. Leave the start year blank if you only want period numbers instead of calendar dates.

The formula explained

For the equal total payment method, each constant-rate phase uses $$A = \frac{B \cdot i}{1 - (1 + i)^{-n}}$$ where \(B\) is the current balance, \(i\) is the per-period rate (annual rate / 100 / payments per year), and \(n\) is the number of remaining payments. Each period the interest equals \(B \cdot i\) and the rest reduces principal. For the equal principal method, the principal portion stays constant at \(P/n\) while interest declines, so total payments fall over time. The final payment is adjusted to clear any rounding remainder so the balance closes at exactly zero.

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Stacked bar showing equal payments split into shrinking interest and growing principal over time
Equal-total payments keep each installment the same while interest falls and principal repayment rises.

Worked example

Borrow 10,000,000 at a fixed 2% over 10 years, paid monthly. Per-period rate \(i = 0.02/12 = 0.00166667\) and \(N = 120\). Payment $$A = \frac{10{,}000{,}000 \times 0.00166667}{1 - 1.00166667^{-120}} \approx 92{,}013 \text{ per month}$$ Total repaid is about 11,041,560, so total interest is roughly 1,041,560.

Line chart comparing flat equal-total payments versus declining equal-principal payments
Equal-total payments stay constant; equal-principal payments start higher and decline over the term.

FAQ

Why does the last payment differ? Rounding each payment leaves a small residual, which the final payment absorbs so the balance reaches zero.

What is a grace period? During the grace period you pay interest only; principal repayment begins afterward and is amortized over the remaining payments.

Is this accurate for my lender? Results are informational. Banks differ in rounding and day-count conventions, so your actual schedule may vary slightly.

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