$)$ A former civil engineering student makes a $$25,000$ donation to create an endowed scholarship.

The Price College of Engineering allows the person to donate $$5$k per year for $5$ years $($years $0,1,2,3,4)$ after

which the interest was going to be spent on a deserving undergraduate. The average stock market return over

the last $50$ years has been $11\mathrm{.}5\%$ with reinvesting dividends and $10\%$ without reinvesting dividends. However,

given a $6\%$ inflation rate, the university recognized that this would result in a dwindling amount in future years

in terms of real values so they decided to only give out half the amount as a scholarship and reinvest the other

half each year.