Suppose today a mutual fund contains $2,000$ shares of JPMorgan Chase, currently trading at $$70\mathrm{.}75,1,000$ shares of Walmart,

currently trading at $$69\mathrm{.}10,$ and $2,500$ shares of Pfizer, currently trading at $$37\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 $$72,$ Walmart's shares increase to $$74,$ and

Pfizer's shares decrease to $$36.$

c$.$ Suppose that today $1,000$ additional investors buy one share each of the mutual fund at the NAV of $$30\mathrm{.}435.$ This means that the

fund manager has $$30,435$ 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$).$

$($For all requirements, do not round intermediate calculations. Round your answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$