Jack Fitzgerald wishes to purchase a used car that has a cash price of $11 comma 000. The installment terms include a down payment of $4 comma 000 and 36 monthly payments of $225. a) What finance charge will Jack pay? b) What is the APR to the nearest half percent?

Question

Business

Amanda Richards

25 June, 00:40

Jack Fitzgerald wishes to purchase a used car that has a cash price of $11 comma 000. The installment terms include a down payment of $4 comma 000 and 36 monthly payments of $225. a) What finance charge will Jack pay? b) What is the APR to the nearest half percent?

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Answers (1)

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Talon Lam · Answer 1

a) Finance chare = $1,100.

b) APR = 9.75%.

Explanation:

a)

Amount needs to be finance = 11,000 - 4,000 = $7,000.

Amount repayment = 225 x 36 = $8,100.

=> Finance charge = Amount repayment - Amount needs to be finance = $1,100.

b)

We apply the PV for annuity formula to find the interest rate per one month denoted as i:

Amount needs to be finance = (equal monthly installment x i) / [ 1 - (1+i) ^-36 ]

or 7,000 = (225/i) x [1 - (1+i) ^-36 ] i = 0.811%.

APR = 12 x i = 9.732%.