Good afternoon interns, As you all know, you are all vying for the 15 openings to...

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Advance Math

Good afternoon interns,

As you all know, you are all vying for the 15 openings to beoffered at the end of the internship. Another chance has come upfor you to show us that you deserve one of those positions here atFirmament Financials Inc. New clients, Mr. and Mrs. Perezare planning on starting a family and would like to start savingfor their child’s college education. The want to know what they canafford when their child is ready for college. They would like toutilize our Yearly College Savings Plan which grows a yearlydeposit at an APR of 15% with continuous compounding. Your job isto analyze their information and come up with feasiblerecommendations. Their information can be found in the email theysent. Of course, you will be graded on your analysis. A gradingrubric has been provided.

Good luck interns!

Dear Ms. Robles,

As satisfied customers of Firmament Financial, we ofcourse look to you to help us save for our upcoming child’s collegeeducation. We feel that we can afford $100 per month for the 18years until college in your College Savings Plan. We have a list ofuniversities that we have researched with the approximate cost peryear for each. Which if any of the university options will we beable to afford for our child? We would prefer to send them to anelite private university if we can afford it.

Anthony & Veronica Perez

University/College Type

Cost per Year

Elite Private

$100,000

Elite Public

$80,000

State Private

$60,000

State Public

$40,000

Out of State Community College

$6,000

Answer & Explanation Solved by verified expert
4.1 Ratings (489 Votes)

The given information is

Monthly Deposit = $ 100

Yearly Deposit = $ 1200

Rate of Compound Interest per year = 15%

Time = 18 years

The calculation is shown in the below table

Year Principal for the Year Amount from Last Year New Amount Interest Amount
1 1200.00 0.00 1200.00 180.00 1380.00
2 1200.00 1380.00 2580.00 387.00 2967.00
3 1200.00 2967.00 4167.00 625.05 4792.05
4 1200.00 4792.05 5992.05 898.81 6890.86
5 1200.00 6890.86 8090.86 1213.63 9304.49
6 1200.00 9304.49 10504.49 1575.67 12080.16
7 1200.00 12080.16 13280.16 1992.02 15272.18
8 1200.00 15272.18 16472.18 2470.83 18943.01
9 1200.00 18943.01 20143.01 3021.45 23164.46
10 1200.00 23164.46 24364.46 3654.67 28019.13
11 1200.00 28019.13 29219.13 4382.87 33602.00
12 1200.00 33602.00 34802.00 5220.30 40022.30
13 1200.00 40022.30 41222.30 6183.35 47405.65
14 1200.00 47405.65 48605.65 7290.85 55896.49
15 1200.00 55896.49 57096.49 8564.47 65660.97
16 1200.00 65660.97 66860.97 10029.15 76890.11
17 1200.00 76890.11 78090.11 11713.52 89803.63
18 1200.00 89803.63 91003.63 13650.54 104654.17

So after 18 years he will have $ 104654 in his account.

Considering his choices of Universities, he can afford any University of his choice to pay the first year fee. However, depending on the duration of course, he has to decide which University he wants to put his child.


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