Taussig Technologies Corporation $($TTC$)$ has been growing at a rate of $19\%$ per year in recent years. This same growth rate is expected to last for another $2$ years, then decline to $g_n=7\%.$

a$.$ If $D_0=$$$2\mathrm{.}80$ and $r_s=11\%,$ what is TTC$\text{'}$s stock worth today? Do not round intermediate calculations. Round your answer to the nearest cent. $

What is its expected dividend yield at this time, that is$,$ during Year $1?$ Do not round intermediate calculations. Round your answer to two decimal places.

$\%$

What is its capital gains yields at this time, that is$,$ during Year $1?$ Do not round intermediate calculations. Round your answer to two decimal places.

$\%$

b$.$ Now assume that TTC$\text{'}$s period of supernormal growth is to last for $5$ years rather than $2$ years. How would this affect the price, dividend yield, and capital gains yield?

I. Due to the longer period of supernormal growth, the value of the stock will be lower for each year. The total return as well as the distribution between dividend yield and capital gains yleld will differ for the duration of the superfiormal growth period.

II$.$ Due to the longer period of supernormal growth, the value of the stock will be higher for each year. Although the total return will remain the same, the distribution between dividend yield and capital gains yield will differ for the duration of the supernormal growth period.

III. Due to the longer period of supernormal growth, the value of the stock will be lower for each year. Although the total return will remain the same, the distribution between dividend yield and capital gains yield will differ for the duration of the supernormal growth period.

IV$.$ Due to the longer period of supernormal growth, the value of the stock will be higher for each year. The total return as well as the distribution between dividend yield and capital gains yield will differ for the duration of the supernormal growth period.

v$.$ Due to the longer period of supernormal growth, the value of the stock will be higher for each year. The total return as well as the distribution between dividend yield and capital gains yield will remain the same for the duration of the supernormal growth period.

c$.$ What will TTC$\text{'}$s dividend and capital gains yields be once its period of supernormal growth ends? $($Hint: These values will be the same regardless of whether you examine the case of $2$ or $5$ years of supernormal growth; the calculations are very easy.$)$ Round your answers to two decimal places.

Dividend yield: $$

$\%$

Capital gains yield: $$