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?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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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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