Assume a major investment service has just given Big Lake Realty its highest investment rating, along with a strong buy recommendation. As a result, you decide to take a look for yourself and to place a value on the company's stock. Here's what you find: This year, Big Lake paid its stockholders an annual dividend of $$3\mathrm{.}54$ a share, but because of its high rate of growth in earnings, its dividends are expected to grow at the rate of $9\%$ a year for the next five years and then to level out at $6\%$ a year. So far, you've learned that the stock has a beta of $1\mathrm{.}14,$ the risk$-$free rate of return is $3\mathrm{.}1\%,$ and the expected return on the market is $11\mathrm{.}6\%.$ Using the CAPM to find the required rate of return, put a value on this stock.

Using the CAPM, the required rate of return on the investment is $12\mathrm{.}79\%.($Round to two decimal places.$)$

The value of the company's stock is $ $($Round to the nearest cent.$)$