Consider the following data for Nike Inc.: In $2022,$ it had $$46,710\mathrm{.}00$ million in sales with a $10\mathrm{.}0\%$ growth rate in

$2023,$ but then slows by $1\%$ to the long$-$run growth rate of $5\mathrm{.}0\%$ by $2028.$ Nike expects EBIT to be $16\%$ of sales,

increases in net working capital requirements to be $5\%$ of any increases in sales, and capital expenditures to

equal depreciation expenses. Nike also has $$12,997\mathrm{.}00$ million in cash, $$12,627\mathrm{.}00$ million in debt, $1,574\mathrm{.}00$

million shares outstanding, a tax rate of $25\%,$ and a weighted average cost of capital of $9\mathrm{.}0\%.$

a$.$ Suppose you believe Nike's initial revenue growth rate will be between $7\mathrm{.}5\%$ and $12\mathrm{.}5\%($with growth slowing

linearly to $5\mathrm{.}0\%$ by year $2028).$ What range of prices for Nike stock is consistent with these forecasts?

b$.$ Suppose you believe Nike's initial revenue EBIT margin will be between $15\%$ and $17\%$ of sales. What range

of prices for Nike stock is consistent with these forecasts?

c$.$ Suppose you believe Nike's weighted average cost of capital is between $8\mathrm{.}5\%$ and $11\mathrm{.}0\%.$ What range of

prices for Nike stock is consistent with these forecasts?

d$.$ What range of stock prices is consistent if you vary the estimates as in parts $($a$),($b$),$ and $($c$)$ simultaneously?