Consider the following three stocks:

Stock $A$ is expected to provide a dividend of $$11\mathrm{.}50$ a share forever.

Stock B is expected to pay a dividend of $$6\mathrm{.}50$ next year. Thereafter,

dividend growth is expected to be $4\mathrm{.}00\%$ a year forever.

Stock $C$ is expected to pay a dividend of $$4\mathrm{.}50$ next year. Thereafter,

dividend growth is expected to be $20\mathrm{.}00\%$ a year for five years $($i$.$e$.,$ years

$2$ through $6)$ and zero thereafter.

a$-1.$ If the market capitalization rate for each stock is $10\mathrm{.}00\%,$ what is the

stock price for each of the stocks? $($Do not round intermediate calculations.

Round your answers to $2$ decimal places.$)$

a$-2.$ Which stock is the most valuable?

b$-1.$ If the market capitalization rate for each stock is $7\mathrm{.}00\%,$ what is the

stock price for each of the stocks? $($Do not round intermediate calculations.

Round your answers to $2$ decimal places.$)$

b$-2.$ Which stock is the most valuable?