Please pay attention to the instructions relating to rounding. Problem $17-20$ Payout Policy $($LO$3)$

Little Oil has outstanding $1$ million shares with a total market value of $$27$ million. The firm is expected to pay $$1\mathrm{.}00$

million of dividends next year, and thereafter, the amount paid out is expected to grow by $4\%$ a year in perpetuity. Thus,

the expected dividend is $$1\mathrm{.}04$ million in year $2,$$$1\mathrm{.}0816$ million in year $3,$ and so on$.$ However, the company has heard

that the value of a share depends on the flow of dividends, and therefore, it announces that next year's dividend will be

increased to $$2$ million and that the extra cash will be raised immediately afterward by an issue of shares. After that, the

total amount paid out each year will be as previously forecasted, that is$,$ $$1\mathrm{.}04$ million in year $2$ and increasing by $4\%$ in

each subsequent year.

a$.$ At what price will the new shares be issued in year $1?$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

b$.$ How many shares will the firm need to issue?

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

c$.$ What will be the expected dividend payments on these new shares, and what, therefore, will be paid out to the old

shareholders after year $1?$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

d$.$ Recalculate the present value of the cash flows to current shareholders.

Note: Do not round intermediate calculations. Round your answer to the nearest whole dollar.