Suppose today a mutual fund contains $2,000$ shares of JPMorgan Chase, currently trading at $$69\mathrm{.}75,1,000$ shares of Walmart, currently trading at $$68\mathrm{.}10,$ and $2,500$ shares of Pfizer, currently trading at $$36\mathrm{.}50.$ The mutual fund has no liabilities and $10,000$ shares outstanding held by investors.

a$.$ What is the NAV of the fund?

b$.$ Calculate the change in the NAV of the fund if tomorrow JPMorgan$$s shares increase to $$71,$ Walmart$$s shares increase to $$73,$ and Pfizer$$s shares decrease to $$35.$

c$.$ Suppose that today $1,000$ additional investors buy one share each of the mutual fund at the NAV of $$29\mathrm{.}885.$ This means that the fund manager has $$29,885$ in additional funds to invest. The fund manager decides to use these additional funds to buy additional shares in JPMorgan Chase. Calculate tomorrow$$s NAV given the same rise$/$fall in share values as assumed in part $($b$).$