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COMPUTING INTEREST. INTEREST COST. IS A MAJOR EXPENSE VARIES WITH INTEREST RATE VARIES WITH THE METHOD USED TO CALCULATE INTEREST. METHODS OF CALCULATING INTEREST. SIMPLE INTEREST REMAINING BALANCE ADD ON METHOD. Computing Interest. Simple interest. Very Simple
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INTEREST COST • IS A MAJOR EXPENSE • VARIES WITH INTEREST RATE • VARIES WITH THE METHOD USED TO CALCULATE INTEREST
METHODS OF CALCULATING INTEREST • SIMPLE INTEREST • REMAINING BALANCE • ADD ON METHOD
Simple interest • Very Simple • Used Primarily on Short Term Loans
Simple Interest Example $1000 borrowed for 1 year at 5% interest $1000 x .05 = $50 interest charge $1050 to be paid back at the end of the loan
Remaining Balance Method • Used when several payments are to be made • Interest is charged only on the remaining principal balance
Remaining Balance Method Example • $1000 borrowed for 4 years at 8% interest. • The $1000 will be paid back in yearly principal installments of $250.
Remaining Balance Method YEAR 1: $1000 X .08(interest rate) = $80interest cost + $250 Principal Payment $330 Annual Payment
Remaining Balance Method YEAR 2: $750 X .08(interest rate) = $60interest cost + $250 Principal Payment $310 Annual Payment
Remaining Balance Method YEAR 3: $500 X .08(interest rate) = $40interest cost + $250 Principal Payment $290 Annual Payment
Remaining Balance Method YEAR 4: $250 X .08(interest rate) = $20interest cost + $250 Principal Payment $270 Annual Payment
Remaining Balance Method Total Interest Paid • $200 • Over a Four-Year Period
ADD ON METHOD • Interest charged on full principal amount for the entire life of the loan. • Total interest amount is added to principal and divided into even payments
Add On Interest Example Example $1000 borrowed for 4 years at 8% interest.
Add On Interest Example • Step 1: Calculate the total interest paid over the lifespan of the loan $1000 (principal amount) X .08 (interest rate) x 4 (years) $320 Interest Charge • This $320 is the Interest Charge (or the total amount of interest paid over the lifespan of the loan)
Add On Interest Example • Step 2: Add the interest charge to the principal amount $1000 (principal amount) + $320 (Interest Charge) $1320 (Total amount paid)
Add On Interest Example • Step 3: Divide total amount paid by the total number of payments $1320 (total amount paid) / 4 (years) $330 Yearly Payment • Notice that the total Interest Charge is $120 higher using the Add-On method than with the Simple Interest Method.
Calculating APR (using Add-On Method) R = 2C X 100 L (P + A) Formula Key: R = Annual Percentage Rate C = Total Interest Cost L = Length of Loan in Years P = Principal Amount Borrowed A = Payment Amount Each Period
Add On Interest Example Actual APR R = 2($320) X 100 4 (1000 + 330)
Add On Interest Example Actual APR R = 12.03% • This APR is MUCH higher than the original 8% interest originally charged • (4.03% more)