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3. (2 marks) As a wealthy graduate of the University of Calgary, you have decided to give back to the University in the form

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Answer #1
The Present Value of the Perpetually growing annuity( gift)= $ 500000
Using the formula to find the present value of a growing perpetuity at the reqd. rate of return,
PV(Perpuity)= Annual pmt./(Reqd. return-Growth rate)
ie. 500000=Annual Scholarship/(Reqd. return-Inflation Growth rate)
ie. 500000=Annual Scholarship/(5.5%-3%)
Annual scholarship amt.=500000*(5.5%-3%)
12500
Answer: The yearly scholarship = $ 12500
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