In: Finance
After graduation, you plan to work for Dynamo Corporation for 12 years and then start your own business. You expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). The first deposit will be made a year from today. In addition, your grandfather just gave you a $37,500 graduation gift which you will deposit immediately (t = 0). If the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?
$309,826
$312,955
$359,899
$334,862
$372,417
year | Beginning Balance | Cash Flow | Interest | Ending Balance |
a | b | c | d=b*9% | e=b+c+d |
1 | $ 37,500 | $ 7,500 | $ 3,375 | $ 48,375 |
2 | $ 48,375 | $ 7,500 | $ 4,354 | $ 60,229 |
3 | $ 60,229 | $ 7,500 | $ 5,421 | $ 73,149 |
4 | $ 73,149 | $ 7,500 | $ 6,583 | $ 87,233 |
5 | $ 87,233 | $ 7,500 | $ 7,851 | $ 1,02,584 |
6 | $ 1,02,584 | $ 7,500 | $ 9,233 | $ 1,19,316 |
7 | $ 1,19,316 | $ 15,000 | $ 10,738 | $ 1,45,055 |
8 | $ 1,45,055 | $ 15,000 | $ 13,055 | $ 1,73,110 |
9 | $ 1,73,110 | $ 15,000 | $ 15,580 | $ 2,03,690 |
10 | $ 2,03,690 | $ 15,000 | $ 18,332 | $ 2,37,022 |
11 | $ 2,37,022 | $ 15,000 | $ 21,332 | $ 2,73,354 |
12 | $ 2,73,354 | $ 15,000 | $ 24,602 | $ 3,12,955 |
Correct Answer =$312,955 |