7.15 Rule of 78's Example

Example: 12 month loan with current payment of $93.33 and original balance = $1,000.00

  1. Sum all principal and interest payments made over the life of the instrument:

    Cash Flow= current payment * total number of payments

    = $93.33 * 12

    = $1,120.00

  2. Determine total amount of interest paid over the life of the instrument:

    interest= cash flow - original par balance

    = $1,120.00 - $1,000.00

    = $120.00

  3. Sum the payment numbers:

    pmts= total no. payments * (total no. payments + 1)/2

    = 12 * 13/2

    = 78

  4. Calculate principal and interest amount at each payment.

    interest=interest * (payments remaining/ pmts)

    principal= current payment - interest

Table 7-31 Example of Calculate Principal and Interest Amount at each payment

Month Interest Calculation Interest Principal Remaining Balance
1 12/78 * 120 $18.46 $74.87 $925.13
2 11/78 * 120 $16.92 $76.41 $848.72
3 10/78 * 120 $15.38 $77.95 $770.77
4 9/78 * 120 $13.85 $79.48 $691.29
5 8/78 * 120 $12.31 $81.02 $610.27
6 7/78 * 120 $10.77 $82.56 $527.71
7 6/78 * 120 $9.23 $84.10 $443.61
8 5/78 * 120 $7.69 $85.64 $357.97
9 4/78 * 120 $6.15 $87.18 $270.79
10 3/78 * 120 $4.61 $88.72 $182.07
11 2/78 * 120 $3.08 $90.25 $91.82
12 1/78 * 120 $1.54 $91.79 $0.00