The Duo Growth Company just paid a dividend of $$2$ per share. The dividend is expected to grow at a rate of $20\%$ per year for the next three years and then to level off to $10\%$ per year forever. You think the appropriate market capitalization rate is $25\%$ per year.

a$.$ What is your estimate of the intrinsic value of a share of the stock? $($Do not round your intermediate calculations. Omit the $"$$$"$ sign in your response. Round your answer to $2$ decimal places.$)$

Intrinsic value per share$

b$.$ If the market price of a share is equal to this intrinsic value, what is the expected dividend yield? $($Round your answer to $1$ decimal place.$)$

Expected dividend yield$\%$

c$.$ What do you expect its price to be one year from now? Is the implied capital gain consistent with your estimate of the dividend yield and the market capitalization rate? $($Do not round your intermediate calculations. Round your answers to $2$ decimal places.$)$

Expected price $

Capital gain$\%$