Question
13) A sports scholarship of $4,000 at the end of the quarter will be paid out indefinitely to a deserving athlete at Notre Dame. How
13) A sports scholarship of $4,000 at the end of the quarter will be paid out indefinitely to a deserving athlete at Notre Dame. How much was deposited into this scholarship trust fund Today, if the interest rate associated with the fund is 6.12% compounded quarterly. (2 marks)
14) The Steel Workers Union of Hamilton pull together $128,000 today and set up a fund earning 4.68 % compounded semi-annually, that will pay a different members child a monthly stipend (payment that helps with schooling) indefinitely or forever. If the payments are at the end of the month and continue forever, how large will those payments be? (2 marks)
11*) Mr. Orange set up a trust fund today for his great-granddaughters college education, where he will make beginning of the month deposits for exactly 18 years. The trust fund would then pay his great granddaughter $6,000 at the end of the quarter over 6 years after she turns 18 and goes to college. If we assume interest rates are 5% compounded semi-annually (always), how large must the original beginning of the month deposits be to support the payments while in college? (4 marks-total timeline is 24 years)
11a) How much money is needed in 18 years to pay the $6,000 quarterly payments.
11b) How large must the beginning of the month payments be over the 18 years?
1) What interest rate compounded quarterly would turn $100 beginning of the month payments over 10 years into a maturity (or future value) of $48,273.71?
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