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Question

A loan of $300,000 is made today. The borrower will make equal repayments of $15940.23 per quarter with the first

payment being exactly 3 months from today. The interest being charged on this loan is constant (but unknown).

For the following two scenarios, calculate the interest rate being charged on this loan, expressed as an effective annual rate in percentage:

 

(a) The loan is fully repaid exactly after 32 quarterly repayments, i.e., the loan outstanding immediately after 32 repayments is exactly 0.

(b) The term of the loan is unknown but it is known that the loan outstanding 5 years later equals to $141018.1.

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