The formula for compound interest is P 1 rnnt where P is the initial principal balance r is the interest rate n is the number of times interest is compounded per time period and t is the number of time periods. A is the accumulated balance after Y years P is the starting principal APR is the annual percentage rate as a decimal Y is the number of years and e is a special irrational number with a value of e 271828. For example if you got 15 percent interest on your 1000 investment the first year and you reinvested the money back into the original investment then in the second year you would get 15 percent interest on 1000 and the 150 I reinvested.
FV05 100 1 0082 FV05 104.
Now If we calculate compounding more than once in a year our future value would be. 16000 deposit at an APR of 4 with semiannual compounding for 12 years. FV1 1001 0082 power 2. So the compound interest formula half yearly becomes.