Assume that WyoOne Corp. recently moved to its optimal capital structure by issuing $$4,000$mn additional debt and this move resulted in an increase of $$2,500$mn in firm value. There are $800$mn shares outstanding and the current stock price is $$17\mathrm{.}5.$ WyoOne corp. intends to buy back shares with the proceeds from debt. Use this information to answer the following questions.

$1)$ At what buy$-$back price would shareholders be indifferent between selling shares back and holding on to them?

$2)$ If WyoOne Corp. announces a share buyback program at $$22\mathrm{.}5$ per share, how many shares $($in millions$)$ can the company buyback?

$3)$ If WyoOne Corp. announces a share buyback program at $$22\mathrm{.}5,$ how many shares $($in millions$)$ will be remaining after the buyback?

$4)$If WyoOne Corp. announces a share buyback program at $$22\mathrm{.}5$ per share, what is the dollar amount of premium $($in millions$)$ paid to selling shareholders?

$5)$ If WyoOne Corp. announces a share buyback program at $$22\mathrm{.}5$ per share, what is the dollar value $($in millions$)$ accruing to remaining shareholders?

$6)$ If WyoOne Corp. announces a share buyback program at $$22\mathrm{.}5,$ what is the expected share price post$-$buyback?