Question
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.
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(a) If the loan is repaid annually, evaluate the annual loan repayment amount. (5 marks)
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(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.
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Evaluate the annual loan repayment amount.
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Using a financial calculator, evaluate the ending loan balance after the loan repayments in the 11th year.
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Using a financial calculator, evaluate the principal amount repaid in the 9th year.
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