You have been asked to assess the value of equity of Lister Inc, a rapidly growing software firm. You have been supplied with the current levels and forecasted revenues, and net income of the company for the next $3$ years $($all in millions$)$: Current $123$ Revenues $$500$ $$600$ $$700$ $$800$ Net Income $$50$ $$72$ $$98$ $$128$ You have run a regression of PE ratios against expected revenue growth and net margin across software firms in the market right now and arrived at the following: PE $=4\mathrm{.}5+80($Annual $($CAGR$)$ Revenue growth in the next $3$ years$)+40($Current Net Profit margin$)$ R$^2=60\%($The regression uses decimals. Thus, the PE for a firm with CAGR revenue growth of $10\%$ and net margin of $20\%$ would be $=4\mathrm{.}5+80(\mathrm{.}10)+40(\mathrm{.}20)=20\mathrm{.}5)$ a$.$ Using this regression, estimate Liser current PE ratio. b$.$ Now assume that you can buy the stock at the PE ratio that you estimated in the last part. If the regression that you have run will still hold at the end of year $3,$ what will the revenue growth need to be between years $4$ and $6$ to allow you to generate a return on your equity investment of $25\%$ a year for the next $3$ years? $($The stock pays no dividends.$)$