Rapid Home Testing $($RHT$)$ is a publicly traded all$-$equity financed firm. RHT$\text{'}$s cost of capital is $10\mathrm{.}46\%.$ Its current earnings per share is $$4\mathrm{.}72.$ This EPS is expected to continue indefinitely. RHT has been paying out all its earnings as dividends

It is now year $0,$ and RHT has just identified a new opportunity to expand its business. This new opportunity allows RHT to invest all of its earnings for $3$ years $($from year $1$ to year $3),$ starting next year $($year $1).$ Each dollar of new investment will yield a perpetual earnings of $16\mathrm{.}30\%,$ starting the following year. $($E$.$g$.,$ investing $$1$ in year $1$ will yield payoffs of $$0\mathrm{.}1630$ from year $2$ on$.)$ After these $3$ years, the competition catches up$,$ driving the return on future investments down to $10\mathrm{.}46\%,$ the same as the cost of capital. As a result, RHT will stop making new investments and pay out all its earnings. All cash flows occur at the year end.

Use the above information to answer questions $($A$)($E$).$

A$.$ What is RHT$\text{'}$s share price without the new investments?

B$.$ What are RHT$\text{'}$s expected earnings per share for year $1,2,3,4$ and $5$ on$?$

C$.$ What are RHT$\text{'}$s dividends per share from year $1,2,3,4$ and $5$ on$?$

D$.$ What is the current $($year $0)$ share price of RHT with the new investments?

E$.$ What is RHT$\text{'}$s per$-$share present value of growth options $($PVGO$)$ in dollars?