18.14. Suppose that the 1-year, 2-year, 3-year, 4-year and 5-year zero rates are 6%, 6.4%, 6.7%, 6.9%, and 7%. The price of a 5-year semiannual cap with a principal of $100 at a cap rate of 8% is $3. Use DerivaGem to determine

a. The 5-year flat volatility for caps and floors

b. The floor rate in a zero-cost 5-year collar when the cap rate is 8%