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

Required:

If you plan to invest for $5$ 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.

What annual rate of return must the fund portfolio earn if you plan to invest for $8$ years to be better off in the fund than in the CD$?$

Now suppose that instead of a front$-$end load the fund assesses a $12$b$-1$ fee of $0\mathrm{.}75\%$ 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$?$