You have $$8,700\mathrm{.}00$ to invest and must choose between a no$-$load, open$-$end mutual fund with an annual expense ratio of $0\mathrm{.}75$ percent but no transaction cost and an ETF with an annual expense ratio of $0\mathrm{.}30$ percent and a transaction cost of $$20\mathrm{.}00.$

a$.$ Calculate which is the lower cost alternative to purchase.

b$.$ Calculate the net proceeds associated with each option if you hold the m$$tual fund for $6$ months and sell after a gain of $8$ percent per $6$ months.

c$.$ Calculate the net proceeds associated with each option if you hold the mutual fund for $1$ year and achieve a gain of $6$ percent per year.

d$.$ Calculate the net proceeds associated with each option if you hold the mutual fund for $1$ year and experience a loss of $4$ percent ber vear.

b$.$ If you hold the mutual fund for $6$ months and sell after a $6-$month gain of $8\%,$ the net proceeds associated with the no$-$load fund are $ $.($Round to the nearest cent.$)$

If you hold the mutual fund for $6$ months and sell after a $6-$month gain of $8\%,$ the net proceeds associated with the ETF are $$.($Round to the nearest cent.$)$

c$.$ If you hold the mutual fund for $1$ year and sell after a $1-$year gain of $6\%,$ the net proceeds associated with the no$-$load fund are $$.($Round to the nearest cent.$)$

If you hold the mutual fund for $1$ year and sell after a $1-$year gain of $6\%,$ the net proceeds associated with the ETF are $$.($Round to the nearest cent.$)$

d$.$ If you hold the mutual fund for $1$ year and sell after a $1-$year loss of $4\%,$ the net proceeds associated with the no$-$load fund are $$.($Round to the nearest cent.$)$

If you hold the mutual fund for $1$ year and sell after a $1-$year loss of $4\%,$ the net proceeds associated with the ETF are $$.($Round to the nearest cent.$)$