Anna Conda purchased a new Toyota Tundra pickup truck for $35,000 and financed $33,000 with a 5 year, 4% loan. What is total finance or interest cost associated with the loan?
Given that,
Anna Conda purchased a new Toyota Tundra pickup for $35000
loan amount PV = $33000
term period t = 5 years
interest rate r = 4% compounded monthly
So, monthly loan payment for the loan is calculated using PV formula of an ordinary annuity.
Monthly payment PMT = PV*(r/n)/(1 - (1+r/n)^(-n*t)) = 33000*(0.04/12)/(1 - (1+0.04/12)^(-12*5)) = $607.75
So, Monthly payment for the loan = $607.75
So, total amount paid = monthly payment*total number of months = 607.75*12*5 = $36464.71
So, interest paid on loan = Total amount paid - loan amount = 36464.71 - 33000 = $3464.71
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