Holyrood Co$.$ just paid a dividend of $$2\mathrm{.}20$ per share. The company will increase its dividend by $20\%$ next year and will then reduce its dividend growth rate by $5$ percentage points per year until it reaches the industry average of $5\%$ dividend growth, after which the company will keep a constant growth rate forever. If the required return on Holyrood stock is $13\%,$ what will a share of stock sell for today? $($Do not round intermediate calculations. Round the final answer to $2$ decimal places.$)$