In: Finance
Suppose you want to have $800,000 for retirement in 25 years. Your account earns 5% interest. a) How much would you need to deposit in the account each month? $ 1,343.39 Correct b) How much interest will you earn? $
| Future Value of an Ordinary Annuity | |||
| = C*[(1+i)^n-1]/i | |||
| Where, | |||
| C= Cash Flow per period | |||
| i = interest rate per period | |||
| n=number of period | |||
| 800000= C[ (1+0.004166667)^300 -1] /0.004166667 | |||
| 800000= C[ (1.004166667)^300 -1] /0.004166667 | |||
| 800000= C[ (3.4813 -1] /0.004166667] | |||
| =$1343.39 | |||
| Total payment = $1343.3869*12*25 | |||
| 403016.07 | |||
| =$403016.07 | |||
| Interest earned = $800000-403016.08 | |||
| =$396983.92 | |||