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Add-on interest rates and APRs are not equivalent. This is because the add-on calculation (using the equation 1 = PRT, where I is the add-on
Add-on interest rates and APRs are not equivalent. This is because the add-on calculation (using the equation 1 = PRT, where I is the add-on interest, P is the amount borrowed, R is the interest rate, and T is the time of the loan in years) assumes that the original debt is owed for the entire period of the loan. However, in reality the debt goes down as the loan is repaid. The following equation shows the n-ratio method for estimating the APR for an add-on loan: Y (95P + 9) F APR = 12P(P + 1)(4D + F) where: APR = Annual Percentage Rate Y = Number of Payments in One Year F = Finance Charge in Dollars D = Debt (Amount Borrowed or Proceeds) P = Total Number of Scheduled Payments Consider the following example: Assume that Susan Murphy from Boise, Idaho borrows $2,000 for three years at 8% add-on interest to be repaid in 36 monthly installments. Step 1: Calculate the amount of add-on interest (in dollars) for Susan's loan. (Hint: Use the equation I = PRT, where I is the interest in dollars, P is the amount borrowed, R is the interest rate, and T is the time of the loan in years.) The add-on interest for Susan's loan is $ Step 2: Identify the values of the following variables in preparation for calculating the APR using the n-ratio method. Y = Number of Payments in One Year = F = Finance Charge in Dollars (Add-on Interest from Step 1) = $ D = Debt (Amount Borrowed) = $ P = Total Number of Scheduled Payments = Step 3: Y (95P + 9) F Use the equation APR = 7 to estimate the APR for Susan's loan. Round your answer to 12P(P + 1)(4D + F) the nearest 0.1%. The APR for Susan's loan is estimated to be
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