$1.$DPL Pharmaceutics plans to pay a $$2\mathrm{.}25$ a share dividend at the end of each of the next two years. At the end of Year $3,$ it will pay a final liquidating dividend of $$15$ a share. After that, the company plans to close its doors permanently. What is the current value of this stock at a discount rate of $15\%?$

$2.$ Zambrano Industries just paid an annual dividend of $$0\mathrm{.}80$ a share. The firm has a policy of increasing the dividend by $3\mathrm{.}5\%$ annually. What is the current value of this stock at a discount rate of $11\mathrm{.}5\%?$

$3.$ Woodlands Biotech stock is valued at $$10\mathrm{.}40$ a share. The firm pays annual dividends at an increasing rate of $2\mathrm{.}5\%$ annually. Next year$$s dividend will be $$1\mathrm{.}05$ per share. What is the required return on this stock?

$4.$Illini Financial has paid annual dividends of $$1\mathrm{.}30,$ $$1\mathrm{.}36,$ $$1\mathrm{.}40,$ $$1\mathrm{.}42,$ and $$1\mathrm{.}45$ over the last five years, respectively. What is the geometric average dividend growth rate?

$5.$ If you expect the dividend in one year to be $$2\mathrm{.}25,$ and you expect it to grow at a constant rate each year of $5\%,$ what do you believe the stock is worth, assuming your RoR on the stock is $15\mathrm{.}5\%?$

$6.$ Mtech Corp. investors expect Mtech to begin paying dividends, with the first dividend of $$2$ coming one year from today, and the company should grow at a constant rate of $8\%$ per year. If the rate of return is $15\%,$ what is the value of

$7.$ Mtech Corp. is expanding rapidly, and it currently needs to retain all of its earnings; hence, it does not pay any dividends. However, investors expect Mtech to begin paying dividends, with the first dividend of $$2$ coming three years from today. The company should grow at a constant rate of $8\%$ per year. If the rate of return is $15\%,$ what is the value of the stock today?

$8.$ Mtech Corp. is expanding rapidly, and it currently needs to retain all of its earnings; hence, it does not pay any dividends. However, investors expect Mtech to begin paying dividends, with the first dividend of $$2$ coming in one year. The dividend should grow rapidly$$at a rate of $50\%$ per year$$during Years $2$ and $3.$ After Year $3,$ the company should grow at a constant rate of $8\%$ per year. If the rate of return is $15\%,$ what is the value of the stock today?

$9.$ Mtech Corp. is expanding rapidly, and it currently needs to retain all of its earnings; hence, it does not pay any dividends. However, investors expect Mtech to begin paying dividends, with the first dividend of $$2$ coming three years from today. The dividend should grow rapidly$$at a rate of $50\%$ per year$$during Years $4$ and $5.$ After Year $5,$ the company should grow at a constant rate of $8\%$ per year. If the rate of return is $15\%,$ what is the value of the stock today?

$10.$ You expect your company to pay the following dividend pattern for three years as follows: D$1=$ $$1$; D$2=$ $$2$; D$3=$ $$3.$ After three years, the dividends are expected to grow at a constant rate of $6\%$ per year. If the required rate of return demanded by investors is $15\%,$ what is the current price of your company$$s stock?