Please asnwer the follwing questions using the correct financial math steps to solve them:

You are considering an investment in a mutual fund with a $4\%$ load and an expense ratio of $0\mathrm{.}5\%.$ You can invest instead in a bank CD paying $6\%$ interest.

a$)$ calculate the value of a $$1000$ investment in the CD after $2$ years

b$)$ calculate the value of a $$1000$ investment in the mutual fund if it earns $8\mathrm{.}7\%$ per year for $2$ years Extra$)$

You invest $$2000$ in a mutual fund, which earns a rate of return of $10\%$ over the next year and $5\%$ the year after that. Its expense ratio is $0\mathrm{.}50\%.$

The fund has a CDSC on it which imposes charges according to this schedule:

Sell within $1$ year of purchase: $5\%$

Sell after $1$ year but within the $2$nd year after purchase: $4\%$

Sell after $2$ years but within the $3$rd year after purchase: $3\%$

Sell after $3$ years but within the $4$th year after purchase: $2\%$

Sell after $4$ years but within the $5$th year after purchase: $1\%$

How much do you have if you sell your shares on the last day of the $2$nd year? The CDSC is applied to $$the lesser of original investment or the redemption$/$sale value$.$