Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 20 years. Assume you purchase a bond that costs $100. a. What is the exact rate of return you would earn if you held the bond for 20 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $100 in 2020 at the then current interest rate of 18 percent year, how much would the bond be worth in 2029? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2029 , instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2040 . What annual rate of return will you earn over the last 11 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)