Mute Cat is a start$-$up company that produces toys and children accessories for children aged between $3-15.$ In year $0,$ it just paid out a dividend of $1\mathrm{.}50$ dollars per share. The dividend is expected to grow for the next two years at an annual growth rate of $g=20\%.$ After that, it will grow at $10\%$ for another two years, before achieving a long$-$run growth rate of $5\%.$ Assume that the cost of capital $=12\%,$ and the dividend is paid at the end of each year. What is Mute Cat's stock price now?