In: Finance
You deposit $6.8 thousand at the end of every six months for the next 7 years into an IRA account that earns 7.4% annually (compounded semiannually). How much will you have on the account after making the last deposit? Express the answer in $ thousands, round to the nearest $0.1 thousand. E.g., if your answer is $42,576, record it as 42.6.
Semi annual rate = 7.4% / 2 = 3.7%
Number of periods = 7 * 2 = 14
Future value = Annuity * [(1 + r)^n - 1] / r
Future value = 6,800 * [(1 + 0.037)^14 - 1] / 0.037
Future value = 6,800 * [1.66304 - 1] / 0.037
Future value = 6,800 * 17.919989
Future value = $121,856
You will have 121.9