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Suppose a borrower obtains a fully amortizing loan for $1,000,000 at 5% interest (compounding annually) for 4 years. (a) If the loan is repaid annually,

Suppose a borrower obtains a fully amortizing loan for $1,000,000 at 5% interest (compounding annually) for 4 years.

  1. (a) If the loan is repaid annually, evaluate the annual loan repayment amount. (5 marks)

  2. (b) Prepare an amortization schedule for the loan for each year using the (10 marks) following format.

Year

Beginning loan balance

Annual loan repayment

Interest amount paid

Principal amount paid

Ending loan balance

1

2

3

4

(c) Suppose the financial institution allows the borrower to repay the loan in 15 years, keeping the other conditions the same.

  1. Evaluate the annual loan repayment amount.

  2. Using a financial calculator, evaluate the ending loan balance after the loan repayments in the 11th year.

  3. Using a financial calculator, evaluate the principal amount repaid in the 9th year.

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