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Bart intends to borrow $200,000 from the Big Housing Bank to buy an apartment. They intend to pay back the loan with monthly payments of
Bart intends to borrow $200,000 from the Big Housing Bank to buy an apartment. They intend to pay back the loan with monthly payments of $2000, starting a month after they take out the loan. The Big Housing Bank charges interest at j12 = 4.8% p.a. (NB Assume this is a fully amortized (i.e. P&I) loan schedule)
- [2 marks] Illustrate the cashflows associated with this scenario as a fully labelled timeline diagram.
- [2 marks] Determine the total number of payments it takes to pay off the loan.
- [3 marks] Find the size of the final (partial) payment.
- [2 marks] Carry out two different sanity checks on the size of the partial payment.
- [3 marks] Determine the outstanding principal immediately after the 100th payment.
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