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Question 7 Jack wants to accumulate $11,000 for a motor-bike in 4 years’ time. To do...

Question 7

Jack wants to accumulate $11,000 for a motor-bike in 4 years’ time. To do this, he will make 16 level deposits (quarterly) with the first deposit today. If he earns 14.1% per annum compounding quarterly, what regular deposit will be needed? (round to nearest cent; don’t use $ sign or commas)

Select one:

a. $505.67

b. $523.49

c. $1070.22

d. $1956.17

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Answer #1

Quarterly interest rate = 14.1%/4 = 3.525%

Let quarterly deposits be x

Future value of annuity = (1+r)* Periodic amount*[{(1+r)^n -1}/r]

11000 = (1.03525)*x*[{(1.03525)^16 -1}/0.03525]

11000 = 21.75345388 x

X =$505.67

Hence, quarterly deposits required =$505.67

The answer is a.

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