Joe wants to be able to purchase a dream car on January 1,2004, just after he graduates from college. Joe has had a part time job and started making deposits of $450 each month into an account that pays 21% compounded monthly beginning with the first deposit on February 1, 1999. The last deposit is to be made on January 1, 2004. Determine how much money he would have saved to buy the car.

Question

Shamar Kennedy

Business

20 February, 23:33

Joe wants to be able to purchase a dream car on January 1,2004, just after he graduates from college. Joe has had a part time job and started making deposits of $450 each month into an account that pays 21% compounded monthly beginning with the first deposit on February 1, 1999. The last deposit is to be made on January 1, 2004. Determine how much money he would have saved to buy the car.

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Answers (1)

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Valeria Trevino · Answer 1

FV = $46,031.45

Explanation:

Giving the following information:

Monthly deposit = $450

Number of months = 59

Interest rate = 0.21/12 = 0.0175

To calculate the final value, we need to use the following formula:

FV = {A*[ (1+i) ^n-1]}/i

A = monthly deposit

FV = {450*[ (1.0175^59) - 1]} / 0.0175 + 450

FV = $46,031.45