$2.$You buy a share of The Ludwig Corporation stock for $$21\mathrm{.}40.$ You expect it to pay dividends of $$1\mathrm{.}07,$ $$1\mathrm{.}1449,$ and $$1\mathrm{.}2250$ in Years $1,2,$ and $3,$ respectively, and you expect to sell it at a price of $$26\mathrm{.}22$ at the end of $3$ years.a$.$Calculate the growth rate in dividends.b$.$Calculate the expected dividend yieldc.Assuming that the calculated growth rate is expected to continue, you can add the dividend yield to the expected growth rate to obtain the expected total rate of return. What is this stocks expected total rate of return?