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mrs_skeptik [129]
3 years ago
12

Assume you have a brand new baby today. You plan to make 18 $1,000 annual deposits in her college savings account, starting on h

er 1st birthday (that is, at the end of her first year of existence) and concluding on her 18th birthday. If the account earns 9% per year, compounded annually, what will be the balance in her account after her 18th birthday?
Business
1 answer:
aleksley [76]3 years ago
7 0

Answer:

After her 18th birthday the balance will be $41,301

Explanation:

Balance right after the 18th birthday is calculated using the formula for future value of annuity

FV = PMT \times \frac{(1+i)^{n}-1}{i}

Annual payment PMT = 1,000

Interest rate i = 0.09

Deposits are made for 18 years: n = 18

The balance in her account will then be:

FV = 1,000 * ( 1.09^18 - 1 ) / 0.09

     = $41,301

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