You are analyzing Jillian$$s Jewelry $($JJ$)$ stock for a possible purchase. JJ just paid a dividend of $$1\mathrm{.}75$ yesterday. You expect the dividend to grow at the rate of $5\%$ per year for the next $3$ years; if you buy the stock, you plan to hold it for $3$ years and then sell it$.$

Calculate D$1.$ Round your answer to the nearest cent.

Calculate D$2.$ Round your answer to the nearest cent.

Calculate D$3.$ Round your answer to the nearest cent.

JJ stock has a required return of $10\%,$ and so this is the rate you'll use to discount dividends. Find the present value of the dividend stream; that is$,$ calculate the PV 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.

JJ stock should trade for $$42\mathrm{.}543$ years from now $($i$.$e$.,$ you expect P$3=$ $$42\mathrm{.}54).$ Discounted at a $10\%$ rate, what is the present value of this expected future stock price? In other words, calculate the PV of $$42\mathrm{.}54.$

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

If you plan to buy the stock, hold it for $3$ years, and then sell it for $$42\mathrm{.}54,$ what is the most you should pay for it$?($Assume that discount rate is still $10\%).$

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

Use the constant growth model to calculate the present value of this stock. Assume that gL $=5\%,$ and it is constant and that the discount rate is $10\%.$

Do not round intermediate calculations. Round your answer to the nearest. Choose between: $$36\mathrm{.}75,$ $$37\mathrm{.}65,$ $$5\mathrm{.}01,$ $$1\mathrm{.}75,$ $$4\mathrm{.}79,$ $$2\mathrm{.}03,$ $$42\mathrm{.}80,$ $$31\mathrm{.}96,$ $$1\mathrm{.}84,$ $$1\mathrm{.}93,$ $$1\mathrm{.}91,$ $$34\mathrm{.}61,$ $$2\mathrm{.}07.$