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You borrow $80,000 from the bank to invest in your business. You plan to repay the loan through weekly payments of $500, with the first

You borrow $80,000 from the bank to invest in your business. You plan to repay the loan through weekly payments of $500, with the first payment occurring one week after you receive the funds from the bank, and the final payment possibly being a partial payment. The bank charges interest at a rate of j52 = 3.75% p.a.

  1. Determine how long it will take you to repay the loan. Describe and apply a sanity check for the duration of the loan.
  2. Determine the size of the final (partial) payment.
  3. Construct an amortization table showing the last six payments, that is, five full payments and a partial payment. Ensure that you show how you got your starting value for the table. Describe and apply a sanity check to your table.
  4. Immediately after your 8th payment, the interest rate increases to j52 = 3.90% p.a. Assuming that you maintain the same weekly payments of $500, determine how long does it takes you to retire your debt and the size of the final (partial) payment.

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