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Question 1 (25 marks) Suppose you plan to borrow $300,000 from a financial institution and you are required to repay the loan by making equal

Question 1 (25 marks)

Suppose you plan to borrow $300,000 from a financial institution and you are required to repay the loan by making equal annual payments for five years (payment at the end of each year). The interest rate for the loan is 3.5% per year. Show your answers correct to two decimal points.

  1. Calculate the annual payment required. (5 marks)
  2. Prepare an amortization schedule for the loan for each year according to the following format. (10 marks)

Year

Beginning balance

Annual payment

Interest paid

Principal paid

Ending Balance

1

2

3

4

5

Total

c. If instead, the loan is an interest-only loan, you are required to pay interest on the original loan amount at the end of each year for five years, and to repay the entire loan amount at the end of the loan period. Compute the total amount that you need to pay (interest plus loan amount) in the five-year period. (5 marks)

d. Ignoring part (c) above, if you are offered a constant amortizing loan, which is a loan where the annual amortization amount (principal paid) is constant throughout the loan period, which type of loan (equal annual payment or constant amortizing) would result in paying a greater amount of total interest over the life of the loan? Explain without actually calculating the interest.

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