Suppose today a mutual fund contains $2,000$ shares of JPMorgan Chase,

currently trading at $$64\mathrm{.}75,1,000$ shares of Walmart, currently trading at

$$63\mathrm{.}10,$ and $2,500$ shares of Pfizer, currently trading at $$31\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

shares increase to $$66,$Walmart$$s shares increase to $$68,$ and Pfizer$$s

shares decrease to $$30.$

c$.$ Suppose that today $1,000$ additional investors buy one share each of the

mutual fund at the NAV of $27\mathrm{.}135.$ This means that the fund manager has

$$27,135$ 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 in share values as

assumed in part $($b$).$