You have decided to endow your favorite university with a scholarship.It is expected to cost $15,000 per year to attend the university intoperpetuity. You expect to give the university the endowment in 5 yearsand will accumulate it by making equal annual (end-of-year) depositsinto an account.The rate of interest is expected to be 8% for all future time periods.a) How large must the endowment be?b) How much must you deposit at the end of each of the next 5 yearsto accumulate the required amount?

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter19: The Basic Tools Of Finance
Section: Chapter Questions
Problem 1CQQ
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You have decided to endow your favorite university with a scholarship.
It is expected to cost $15,000 per year to attend the university into
perpetuity. You expect to give the university the endowment in 5 years
and will accumulate it by making equal annual (end-of-year) deposits
into an account.
The rate of interest is expected to be 8% for all future time periods.
a) How large must the endowment be?
b) How much must you deposit at the end of each of the next 5 years
to accumulate the required amount?

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