Integrated Potato Chips just paid a $$2\mathrm{.}9$ per share dividend. You expect the dividend to grow steadily at a rate of $5\%$ per year.

a$.$ What is the expected dividend in each of the next $3$ years? $($year $1?$ Year $2?$ Year $3?)$

b$.$ If the discount rate for the stock is $11\%,$ at what price will the stock sell today?

c$.$ What is the expected stock price $3$ years from now?

d$.$ If you buy the stock and plan to sell it $3$ years from now, what are your expected cash flows in $($i$)$ year $1$; $($ii$)$ year $2$; $($iii$)$ year $3?($Dividend year $1?$ Year $2?$ Year $3?,$ sale of stock year $1?$ Year $2?$ Year $3?,$ total cash flow year $1?$ Year $2?$ Year $3?)$

e$.$ What is the present value of the stream of payments you found in part $($d$)?($year $1?$ Year $2?$ Year $3?)$