You have $$100,000$ to donate to your college. You want to endow a perpetual scholarship

that makes its first payment in $1$ year. If the college$$s discount rate is $4\%,$ how large will

the annual scholarship payment be$?$ If you still donate the $$100,000$ today, but ask the

college to delay the scholarship payment so that the first scholarship payment is made $10$

years from today, then how large will the annual payment be$?$