If the return of two stocks has a correlation of $1,$ what does this imply about the relative movements in the stock prices?

$($Select the best choice below.$)$

A$.$ For each dollar increase in the price of one stock, the other stock also increases by a dollar.

B$.$ The percentage change in the stocks prices are exactly opposite of each other$-$for every positive change in the one stock, the other stock has a negative change.

C$.$ If the price of one stock goes up$,$ the other stock price always goes up as well.

D$.$ The returns of the two stocks are unrelated.