Consider a no$-$load mutual fund with $$900$ million in assets and $24$ million shares at the start of the year, and $$1,040$ million in assets and $16\mathrm{.}42$ million shares at the end of the year. During the year investors have received income distributions of $$4\mathrm{.}50$ per share, and capital gains distributions of $$3\mathrm{.}14$ per share. Assume that the fund carries no debt.

What is the NAV at the START of the year?

What is the NAV at the END of the year?

What is the rate of return on the fund?