Quantitative Problem $3$: Assume today is December $31,2019.$ Imagine Works Inc. just paid a dividend of $$1\mathrm{.}25$ per share at the end of $2019.$ The dividend is expected to grow at $12\%$ per year for $3$ years, after which time it is expected to grow at a constant rate of $6\%$ annually. The company's cost of equity $($rs$)$ is $10\%.$ Using the dividend growth model $($allowing for nonconstant growth$),$ what should be the price of the company's stock today $($December $31,2019)?$ Do not round intermediate calculations. Round your answer to the nearest cent.

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per share