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If every six months the capital earn 10% interest which is compounded, at the end of 5 years, the interest will be 31875. If the annual interest rate is 10%, it makes no difference how often it is compounded. The six monthly interest rate is adjusted - to 4.88% rather than 5% - so that the total interest for a year is 10%.
4.75 percent of 900 is 42.75 . A few pennies more if the interest is compounded at any time during the year. For example, if interest is compounded every month, then you have 43.69 at the end of the year.
APR stands for annual percentage rate. That being the case, it does not matter whether the interest is compounded every day or every millisecond. The effect, at the end of a year is interest equal to 2.25 percent. So, 2000 at 2.25 percent compounded, for 4 years = 2000*(1.0225)4 = 2000*1.093083 = 2186.17
simple(interest is earned on the original principal) $100 earning 10% per month with earn $10 every month and compound(interest is compounded every set amount of time e.g. monthly and a new principal is derived) $100 earning 10% per month compounded monthly will earn $10 the first month after which it is compounded making the new principal $110 the next month will earn $11 and so on
661.5 I got that by using a financial calculator i divided the interest rate by 2 because compounding is semiannually, and multiplied the term (1 year) by 2 because compounding is semiannually. I used 600 as the present value, and solved for the future value. As I recall from college I think that is how it is done. Keep in mind that assumes the initial deposit earns interest for a full year. Another way: Simple Interest formula = (p * n * r)/ 100 p - principal n - number of years r - rate of interest So SI for the first 6 months = 600 * 0.5 * 10/100 = 30 Principal at the end of first half year = 630 Now p = 630 because the interest after the first half year is credited to your account. so SI = 600 * 0.5 * 10/100 = 31.5 Principal at the end of one year = 661.5 Note: I took n as 0.5 because interest is compounded every half year. If it is every quarter you must take n = 0.25 and perform this math 4 times to finish the one year