You are considering a bear put spread on ABC Corp. The current stock price is $$50.$ You buy a put option with a strike price of $$50$ for $$6$ and sell a put option with a strike price of $$45$ for $$3.$ What is the maximum profit, maximum loss, and break$-$even point for this bear put spread?

Maximum profit: $$4$; Maximum loss: $$3$; Break$-$even: $$47$

Maximum profit: $$5$; Maximum loss: $$3$; Break$-$even: $$47$

Maximum profit: $$5$; Maximum loss: $$6$; Break$-$even: $$48$

Maximum profit: $$4$; Maximum loss: $$6$; Break$-$even: $$47$