$1.$ Company TYK forecasts that it will begin paying dividends seven years from now, at which point dividends are $$1$ per share. Thereafter, dividends are expected to growth at a constant rate of $6\%$ per year. The discount rate for TYK is $10\%.$ How much would you pay for one share in Company TYK$?2.$ Golf Ball Inc. expects earnings to be $$10,000$ per year in perpetuity if it pays out all of its earnings in dividends. Suppose the firm has an opportunity to invest $$1,000$ of next year's earnings to upgrade its machinery. It is expected that this upgrade will increase earnings in all future years $($starting two years from now$)$ by $$140.$ Assume that Golf Ball's next dividend is one year from now. The required rate of return is $12\%.$ What is the value of Golf Ball Inc. if it undertakes the upgrade? $3.$ Suppose that the consensus forecast of security analysts of your favorite company is that earnings next year will be $$5\mathrm{.}00$ per share. The company plows back $50\%$ of its earnings and if the Chief Financial Officer $($CFO$)$ estimates that the company's return on equity $($ROE$)$ is $16\%.$ Assuming the plowback ratio and the ROE are expected to remain constant forever:Suppose that you are confident that $10\%$ is the required rate of return on the stock. What does the market price of $$50\mathrm{.}00$ per share imply about the markets estimate of the companys expected return on equity? $($please give a number$)4.$ Dividends on CCN corporation are expected to grow at a $9\%$ per year. Assume that the discount rate on CCN is $12\%$ and that the expected dividend per share in one year is $$0\mathrm{.}50.$ CCN has just paid a dividend, so the next dividend is the $$0\mathrm{.}50$ to be paid one year from now.Calculate today's price per share for CCN