Question
Garrett is 26 years old today. He started his university education on his 18 th birthday and signed up for a student loan from a
Garrett is 26 years old today. He started his university education on his 18th birthday and signed up for a student loan from a bank on that day to cover the tuition fees of his university education. Garrett had to make tuition payments of $18,000, $20,000, $22,000 and $24,000 at the beginning of the 1st, the 2nd, the 3rd and the 4th year of his university education, respectively. Garrett plans to deposit the borrowed amount in a bank account that pays 7.25% with quarterly compounding and withdraw the required amount at the beginning of every year to pay his tuition fees.
Suppose the bank loaned him the amount you calculated in part (a) of this question to cover his tuition payments on his 18th birthday at an interest rate of 8% with quarterly compounding. Bank also agreed to postpone the repayment of the loan until Garretts 26th birthday. Of course, the bank will continue to charge interest on this loan during this whole period. Garrett has to pay his student loan back with 12 quarterly payments and the first payment has to be made on his 26th birthday. Calculate the 12 quarterly payments Garett has to make starting on his 26th birthday to pay his student loan back.
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