Assume$$ you've generated the following information about the stock of$$ Ben's Banana$$ Splits: The$$ company's latest dividends of $$$$1\mathrm{.}65$ a share are expected to grow to $$$$1\mathrm{.}80$ next$$ year, to $$$$1\mathrm{.}96$ the year after$$ that, and to $$$$2\mathrm{.}14$ in year $3.$ After$$ that, you think dividends will grow at a constant $7\%$ rate. a$.$ Use the variable growth version of the dividend valuation model and a required return of $12\%$ to find the value of the stock. b$.$ Suppose you plan to hold the stock for three$$ years, selling it immediately after receiving the $$$$2\mathrm{.}14$ dividend. What is the$$ stock's expected selling price at that$$ time? As in part a$,$ assume a required return of $12\%.$ c$.$ Imagine that you buy the stock today paying a price equal to the value that you calculated in part a$.$ You hold the stock for three$$ years, receiving dividends as described above. Immediately after receiving the third$$ dividend, you sell the stock at the price calculated in part b$.$ Use the IRR approach to calculate the expected return on the stock over three years. Could you have guessed what the answer would be before doing the$$ calculation?