You are considering an investment in a mutual fund with a $5\%$ load and expense ratio of $0\mathrm{.}1\%.$ You can invest instead in a bank CD

paying $2\%$ interest.

a$.$ If you plan to invest for $2$ years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the

$CD?$ Assume annual compounding of returns. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Annual rate of return

b$.$ What annual rate of return must the fund portfolio earn if you plan to invest for $9$ years to be better off in the fund than in the CD$?$

$($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Annual rate of return

c$.$ Now suppose that instead of a front$-$end load the fund assesses a $12b-1$ fee of $\mathrm{.}80\%$ per year. What annual rate of return must the

fund portfolio earn for you to be better off in the fund than in the CD$?($Do not round intermediate calculations. Round your answer to

$2$ decimal places.$)$

Annual rate of return