Question

In: Finance

You are buying a gently used car today at a price of $11,480. You are paying...

You are buying a gently used car today at a price of $11,480. You are paying $700 down in cash today and financing the balance for 44 months at an annual interest rate of 8.50%. What is the amount of each monthly loan payment? Dollar value

Question 7 options:

$277

$284

$291

$298

$305

Solutions

Expert Solution

Monthly payment = [P × R × (1+R)^N ] / [(1+R)^N -1]
Using the formula:
Loan amount P $                                                            10,780
Rate of interest per period:
Annual rate of interest 8.500%
Frequency of payment = Once in 1 month period
Numer of payments in a year = 12/1 = 12
Rate of interest per period R 0.085 /12 = 0.7083%
Total number of payments:
Frequency of payment = Once in 1 month period
Number of years of loan repayment =                                                                     3.67
Total number of payments N 3.66666666666667 × 12 = 44
Period payment using the formula = [ 10780 × 0.00708 × (1+0.00708)^44] / [(1+0.00708 ^44 -1]
Monthly payment = $                                                            286.02

Answer is 284


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