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Question 3 (7 marks)The residents’ association of a retirement village needs $275 000 to upgrade the village’s facilities.The association obtains a 5-year, interest-only loan for $275 000 that charges a flat interest rate of5.2% per annum.(a) Calculate the quarterly interest payment for the interest-only loan.

Question

Question 3 (7 marks)The residents’ association of a retirement village needs 275000toupgradethevillagesfacilities.Theassociationobtainsa5year,interestonlyloanfor275 000 to upgrade the village’s facilities.The association obtains a 5-year, interest-only loan for 275 000 that charges a flat interest rate of5.2% per annum.(a) Calculate the quarterly interest payment for the interest-only loan.

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Solution

To calculate the quarterly interest payment for the interest-only loan, follow these steps:

Step 1: Convert the annual interest rate to a quarterly rate. Since there are 4 quarters in a year, divide the annual interest rate by 4.

5.2% / 4 = 1.3%

Step 2: Convert the percentage to a decimal by dividing by 100.

1.3 / 100 = 0.013

Step 3: Multiply the loan amount by the quarterly interest rate to find the quarterly interest payment.

275,0000.013=275,000 * 0.013 = 3,575

So, the quarterly interest payment for the interest-only loan is $3,575.

This problem has been solved

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