The net income of Progressive Corporation is $$81,000.$ The company has $25,000$ outstanding shares and a $100$ percent payout policy. The expected value of the firm one year from now is $$1,735,000.$ The appropriate discount rate for the company is $11$ percent and the dividend tax rate is zero.

a$.$ What is the current value of the firm assuming the current dividend has not yet been paid? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the ex$-$dividend price of the company's stock if the board follows its current policy? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ Current value of the firm

b$.$ Share price

At the dividend declaration meeting, several board members claimed that the dividend is too meager and is probably depressing the company's price. They proposed that the company sell enough new shares to finance a $$4\mathrm{.}44$ dividend.

c$-1.$ Calculate the current value of the firm. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-$ If the proposal is adopted, at what price will the new shares sell? How many will be

$2.$ sold? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ Current value of the firm