$12\mathrm{.}4.$ Assume the risk$-$free rate is $6$ percent and the market risk premium is $6$ percent. The stock of Clinicians Care Alliance $($PCA$)$ has a beta of $1\mathrm{.}5.$ The last dividend paid by PCA $(D_0)$ was $$2$ per share.

a$,$ What would PCA's stock value be if the dividend were expected to grow at a constant:

$-5$ percent?

$0$ percent?

$5$ percent?

$10$ percent?

b$.$ What would be the stock value if the growth rate were $10$ percent but PCA's beta fell to:

$1\mathrm{.}0?$

$0\mathrm{.}5?$