The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place. The interest rate over a year is known as the annual interest rate.
The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR). APR is a percentage that expresses the actual annual cost of borrowing money throughout the course of a loan or the revenue from an investment.
The calculations and formula are as follows: Effective yearly interest rate = (nominal rate / number of compounding periods) - 1 + (number of compounding periods) - (number of compounding periods) - 1. This would be: 10.47% = (1 + 10% / 12)) 12 - 1 for investment A. It would be as follows for investment B: 10.36% = (1 + (10.1% / 2)) 2 - 1.
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