You expect the price of the stock $3$ years from now to be $$45\mathrm{.}09$; that is$,$ you expect P$\_3$ to equal $$45\mathrm{.}09.$ Discounted at a $13\%$ rate, what is the present value of this expected future stock price? In other words, calculate the PV of $$45\mathrm{.}09.$ Do not round intermediate calculations. Round your answer to the nearest cent. Your broker offers to sell you some shares of Bahnsen & Co$.$ common stock that paid a dividend of $$2\mathrm{.}50$ yesterday. Bahnsen's dividend is expected to grow at $6\%$ per year for the next $3$

years. If you buy the stock, you plan to hold it for $3$ years and then sell it$.$ The appropriate discount rate is $13\%.$

a$.$ Find the expected dividend for each of the next $3$ years; that is$,$ calculate $D_1,D_2,$ and $D_3.$ Note that $D_0=$$$2\mathrm{.}50.$ Do not round intermediate calculations. Round your answers to the

nearest cent.

$[D_1=$$$],[D_2=$$$],[D_3=$$$]$

b$.$ Given that the first dividend payment will occur $1$ year from now, find the present value of the dividend stream; that is$,$ calculate the PVs of $D_1,D_2,$ and $D_3,$ and then sum these PVs$.$

Do not round intermediate calculations. Round your answer to the nearest cent.

$

c$.$ You expect the price of the stock $3$ years from now to be $$45\mathrm{.}09$; that is$,$ you expect widehat$(P{)}_3$ to equal $$45\mathrm{.}09.$ Discounted at a $13\%$ rate, what is the present value of this expected future

stock price? In other words, calculate the PV of $$45\mathrm{.}09.$ Do not round intermediate calculations. Round your answer to the nearest cent.

$