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For example, if you take out a five-year loan for $20,000 and the interest rate on the loan is 5 percent, the simple interest formula would be $20,000 x .05 x 5 = $5,000 in interest. Who benefits ...
For example, a five-year loan of $1,000 with simple interest of 5 percent per year would require $1,250 over the life of the loan ($1,000 principal and $250 in interest).
n is the frequency of applying interest. For example, imagine that a credit card holder has an outstanding balance of $2500 and that the simple annual interest rate is 12.99% per annum, applied monthly, so the frequency of applying interest is 12 per year. Over one month,
To calculate the simple interest for this example, you’d multiply the principal ($5,000) by the annual percentage rate (5 percent) by the number of years (five): $5,000 x 0.05 x 5 = $1,250.
A simple fraction (as with 12/78) consists of a numerator (the top number, 12 in the example) and a denominator (the bottom number, 78 in the example). The denominator of a Rule of 78s loan is the sum of the integers between 1 and n, inclusive, where n is the number of payments.
In the 4-month example, the borrower will make four equal payments of $300 in principal and 4 equal payments of $12 (1% of $1,200) in interest. The total cost of this loan is the principal plus $48.00 in interest, whilst the average amount outstanding was approximately $600.
As another example, a two-year return of 10% converts to an annualized rate of return of 4.88% = ((1+0.1) (12/24) − 1), assuming reinvestment at the end of the first year. In other words, the geometric average return per year is 4.88%. In the cash flow example below, the dollar returns for the four years add up to $265.
Simple interest, by comparison, is interest that’s earned on the principal only. For instance, if you deposit $10,000 into a savings account earning 2%, you’d generate $200 in interest over ...