Problem $17-4($LG $17-5)$

Suppose today a mutual fund contains $2,000$ shares of JPMorgan Chase, currently trading at $$83\mathrm{.}75,1,000$ shares of Walmart, currently trading at $$82\mathrm{.}10,$ and $2,500$ shares of Pfizer, currently trading at $$50\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$$s shares increase to $$85,$ Walmart$$s shares increase to $$87,$ and Pfizer$$s shares decrease to $$49.$

c$.$ Suppose that today $1,000$ additional investors buy one share each of the mutual fund at the NAV of $$37\mathrm{.}585.$ This means that the fund manager has $$37,585$ 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$.,32\mathrm{.}161))$