The risk$-$free rate of return is $2$ percent, and the expected return on the market is $8\mathrm{.}5$ percent. Stock A has a beta coefficient of $1\mathrm{.}4,$ an earnings and dividend growth rate of $8$ percent, and a current dividend of $$3\mathrm{.}10$ a share. Do not round intermediate calculations. Round your answers to the nearest cent.

A$.$ What should be the market price of the stock?$$ $$$

B$.$ If the current market price of the stock is $$122\mathrm{.}00,$ what should you do$?$The stock$($should or should not, choose one$)$be purchased.$$

C$.$ If the expected return on the market rises to $14\mathrm{.}5$ percent and the other variables remain constant, what will be the value of the stock?$$ $$$

D$.$ If the risk$-$free return rises to $4$ percent and the return on the market rises to $15\mathrm{.}5$ percent, what will be the value of the stock?$$ $$$

E$.$ If the beta coefficient falls to $1\mathrm{.}3$ and the other variables remain constant, what will be the value of the stock?$$ $$$

F$.$ Explain why the stock$$s value changes in$$c$$through$$e$.$The increase in the return on the market$($increases$,$ or decreases, choose one.$)$the required return and$($increases or decreases$$choose one$)$ the value of the stock.$$The increase in the risk$-$free rate and the simultaneous increase in the return on the market cause the value of the stock to$($increase or decrease, choose one.$).$The decrease in the beta coefficient causes the firm to become$($less or more choose one.$)$risky as measured by beta, which$($increases$,$ or decreases, choose one.$)$the value of the stock.