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kobusy [5.1K]
3 years ago
11

The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will make annu

al deposits of $100,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 7% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030?
Business
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

Fund balance at December 31th, 2030 $ 1,381,644.80

Explanation:

We should calculate the future value of a 10-years annuity of 100,000 at 7% interest rate:

C \times \frac{(1+r)^{time} -1}{rate} = FV\\

C 100,000

time 10 years

rate 7% = 7/100 = 0.07

100000 \times \frac{(1+0.07)^{10} -1}{0.07} = FV\\

FV $1,381,644.7961

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b.) $253,514.84.

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<u>c. Determine the amount saved if you deposit $15,000 each year, but with 10 percent interest.</u>

It is still an ordinary annuity question , however, the recurring payment(PMT) will be 15,000 as before but with an annual interest rate(I/Y) of 10%.  Using a financial calculator, key in the following inputs;

Total duration of investment; N = 10

Recurring payment; PMT = -15,000

Interest rate ; I/Y = 10%

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then compute Future value;  CPT FV = 239,061.369

Therefore, in 10 years, you will have saved $239,061.37 .

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