Question

In: Finance

After graduation, you plan to work for Dynamo Corporation for 12 years and then start your...

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

Solutions

Expert Solution

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

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