Compute how much a business is worth if it is expected to generate cash flows to its owners of $$0$ for the next two years, $$42,800$ in three years, $$60,000$ in four years, then $$85,000$ per year for the subsequent $23$ years $($i$.$e$.,$ $$85,000$ per year after four years in the future and then continuing for the next $23$ years until $4+23$ years into the future$),$ and finally generates cash inflows to its owners of $$100,000$ per year thereafter forever $($i$.$e$.,$ $$100,000$ forever after $4+23$ years$),$ assuming that businesses with similar relevant risk have expected returns of $14\%.$

A stock has a price $($i$.$e$.,$ present value of all cash flows from the stock expected by investors$)$ of $$33\mathrm{.}00$ today. It is expected to pay a dividend of $$1\mathrm{.}10$ per share next year, $$1\mathrm{.}20$ per share in the following year, $$1\mathrm{.}90$ in the subsequent $23$ years $($i$.$e$.,$ pay a dividend of $$1\mathrm{.}90$ in years $3$ through year $23+2$ into the future$),$ and then be sold for $$55\mathrm{.}00$ in $23+2$ years $($where that $$36$ represents the present value of all dividends expected after $23+2$ years$).$ Compute the interest rate or expected return on this stock $($i$.$e$.,$ iterate to find the $r$ that sets the sum of the present value of the future expected cash flows equal to the $$33$ present value$).$

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