5. Suppose you save $19,000 per year in an ordinary annuity promising you an interest rate of i = 7.625% compounded once per year. How much will you have after 35 years? 8. You buy a 30 year zero coupon bond which will pay you $10,000 in 30 years at an annual yield of i = 1% compounded once per year. A few minutes later the annual yield rises to i = 2% compounded once per year. What is the percent change in the value of the bond?| (Hint: recall the formula for percent change. The answer should be negative.) 9. You buy a 30 year zero coupon bond which will pay you $1000 in 30 years at an annual yield of i 16.5% compounded once per year. 25 years later it will be a 5 year zero coupon bond. Suppose the interest rate on this bond will be 16.5%, what will the price of this bond be in 25 years? 10. You are offered an annuity that will pay you $200,000 once per year, at the end of the year, for 25 years. The first payment will arrive one year from now. The last payment will arrive twenty five years from now. Suppose your annual discount rate is i = 17.25%, how much are you willing to pay for this annuity? (hint: this is the same as the present value of an annuity.)