$1.$ MassMutual Super Select Fund has $4$ million shares outstanding. Its portfolio holds $200,000$ shares of Stock A$,300,000$ shares of Stock B$,400,000$ shares of Stock C$,$ and $600,000$ shares of Stock D$.$ The fund pays management fee $$30,000$ annually. The follow table shows stock prices at the end of year $2022$ and $2023.$

Stock A B C D

$2022$ Year$-$end Price $$35$ $$40$ $$20$ $$25$

$2023$Year$-$end Price $$38$ $$42$ $$19$ $$25$

a$)$ What is the Net Asset Value $($NAV$)$ at the end of $2022$ and $2023?$

b$)$ During the calendar year, the fund also paid income distribution $$0\mathrm{.}3/$share and capital gain distribution $$0\mathrm{.}2/$share$.$ What is the return rate to fund investor from $2022$ to $2023?$