The homework has $6$ problems. Please show your work for credit.

A firm will pay a common stock annual dividend of $$3\mathrm{.}00$ next year. The annual required return on common stock is $14$ percent. The firm has a constant growth rate of $6$ percent per year indefinitely. Compute the current price of the stock.

A company just paid $$4\mathrm{.}00$ annual dividend. The firm has a stock price of $$60,$ and a constant growth rate of $5$ percent a year forever. Compute the annual required rate of return.

Suppose a firm is expected to pay an annual dividend next year of $$4\mathrm{.}00$ per share. Both sales and profits for the company are expected to grow at a rate of $25$ percent in year $2$ and year $3,$ and then at $5$ percent per year thereafter indefinitely. Dividend growth is expected to match sales growth. If the annual required return is $14\%,$ what is the value of a share of firm's stock?

A company has just paid an annual dividend of $$5\mathrm{.}00$ per share. The company will increase its dividend by $30$ percent next year. The firm will then reduce its dividend growth rate by $6$ percent each year until the dividend reaches the industry average of $6$ percent growth. The firm will then maintain that dividend growth rate forever. The annual required rate of return for the company is $14$ percent. Find the price of the stock.

The preferred stock of XYZ Corp. pays a fixed annual dividend of $$6$ per share. The annual required rate of return on the preferred stock is $10$ percent. Compute the price of the preferred stock.

A company has preferred stock outstanding that pays a fixed annual dividend of $$5$ per share. It has a price of $$45.$ What is the annual required rate of return on the preferred stock?