14, 15, ,16 ,18 please

14. The British government has a consol bond outstanding paying 100 per year forever Assume the current interest rate is 4% per year. a. What is the value of the bond immediately after a payment is made? b. What is the value of the bond immediately before a payment is made? You are offered the right to receive $1000 per year forever, starting in one year. If your discount rate is 5%, what is this offer worth to you? 15. 16. You have $100,000 to donate to your college. You want to endow a perpetual scholar ship that makes its first payment in 1 year. If the college's discount rate is 4%, how large will the annual scholarship payment be? 17. If you still donate the $100,000 from Problem 16 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? Annuities What is the present value of $1000 paid at the end of each of the next 100 years if the interest rate is 7% per year? 18