Quantitative Problem $3$: Assume today is December $31,2017.$ Imagine Works Inc. just paid a dividend of $$1\mathrm{.}30$ per share at the end of $2017.$ 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 $5\%$ annually. The company's cost of equity $(r_s)$ is $10\%.$ Using the dividend growth model $($allowing for nonconstant growth$),$ what should be the price of the company's stock today $($December $31,2017)?$ Round your answer to the nearest cent. Do not round intermediate calculations.

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