Before the start of trading on the morning of November $17,$ Sears and Kmart

announced that Kmart would be taking over Sears.

$$ Sears$$ stock price was $$45\mathrm{.}20/$share at the end of the day on November $16,$ and

$$52\mathrm{.}99/$share at the end of the day on November $17.$

$$ The beta of Sears stock is $0\mathrm{.}614.$ The return on the market portfolio of risky

assets was $0\mathrm{.}78$ percent on November $17.$ Sears paid no dividends on November $16$

or November $17.$ Assume the riskless rate is zero and that the alpha of Sears stock

is zero.

$$ Assume no other news came out about Sears or Kmart on November $16$ and

November $17.$

Question: Of the change in Sears$$ stock price from $$45\mathrm{.}20/$share to $$52\mathrm{.}99/$share$,$ what dollar amount was due to the announcement?