Peter Fond, a wealthy alumnus of a university, decided to create an endowment. The endowment is to allow four indigent students to take one management course each year in perpetuity. The annual cost of the course is $700 per student. To create the endowment, a a single payment will be made to the university. The university expects to earn exactly 7% per year on these funds. Required: How large an initial single payment must Peter Fond make to the university to fund the endowment? What amount would be needed to fund the endowment if the university could earn 8% rather than 7% per year on the funds?

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Problem 11: Creating an Endowment

Peter Fond, a wealthy alumnus of a university, decided to create an endowment. The

endowment is to allow four indigent students to take one management course each year in

perpetuity. The annual cost of the course is $700 per student. To create the endowment, a

a single payment will be made to the university. The university expects to earn exactly 7% per

year on these funds.

Required:

  1. How large an initial single payment must Peter Fond make to the university to fund the

endowment?

  1. What amount would be needed to fund the endowment if the university could earn 8%

rather than 7% per year on the funds?

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