are the loan department supervisor ban Being paid task to calculate the rebate fraction, the finance charge rebate (in $), and the payoff dollars to the nearest cent.) Finance Number of Monthly Payments Made Amount Rebate Loan Financed Payments Payment Charge Rebate Payoff Fraction $4,700 36 $165.33 33

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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You are the loan department supervisor for a bank. This installment loan is being paid off early, and it is your
task to calculate the rebate fraction, the finance charge rebate (in $), and the payoff for the loan (in $). (Round
dollars to the nearest cent.)
Finance
Amount
Number of
Monthly
Payment
Payments
Made
Rebate
Loan
Charge
Rebate
Financed
Payments
Fraction
Payoff
$4,700
36
$165.33
33
Transcribed Image Text:You are the loan department supervisor for a bank. This installment loan is being paid off early, and it is your task to calculate the rebate fraction, the finance charge rebate (in $), and the payoff for the loan (in $). (Round dollars to the nearest cent.) Finance Amount Number of Monthly Payment Payments Made Rebate Loan Charge Rebate Financed Payments Fraction Payoff $4,700 36 $165.33 33
Expert Solution
Step 1

Given information :

Amount financed = $4,700

Number of payments = 36

Monthly payment = $165.33

Payments made = 33

 

 

Step 2

The rebate fraction can be calculated as follows :

= Sum of the digits of the number of payments remaining at the laon payoff timeSum of the digits of the total number of payments of the loanCalculating numerator :Number of payments remaining =36 - 33 = 3Sum of the digits = 3 ( 3 +1)2 = 6Calculating denominator :Sum of the digits = 36 36 +12 = 666Thus,Rebate fraction = 6666 =0.009

 

Step 3

The finance charge rebate can be calculated as follows :

Finance charge rebate = Rebate fraction × Total finance charge Where, Total finance charge = Monthly payment × Number of payments - Amount financedTotal finance charge = $165.33 × 36 - $4700                                       = $1251.88Therefore, Finance charge rebate = 6666 × $1251.88                                             = $11.2782

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