Suppose that in January 2040, you buy a 30-year zero-coupon U.S. Treasury bond with a maturity value of $100,000 and a yield of 5% annually.

(a) How much do you pay for the bond? (Round your answer to the nearest cent.) (b) Suppose that, 15 years later, interest rates have risen again, to 11%. If you sell your bond to an investor looking for a return of 11%, how much money will you receive? (Round your answer to the nearest cent.) $ (c) Using your answers to parts (a) and (b), what will be the annual yield (assuming annual compounding) on your 15-year investment? (Round your answer to two decimal places.) %