Rational Demiconductor has the following market$-$value balance sheet:

Assume that Rational wins a lawsuit and is paid $$1$ million in cash. Its market capitalization rises by that amount. It decides to pay out

$$9$ per share instead of $$1$ per share.

a$.$ What happens to Rational's stock price if the payout comes as a cash dividend?

b$.$ What happens to Rational's stock price if the payout comes as a share repurchase?

Note: Round your intermediate calculations to the nearest whole number.