$***($Must use Excel and show Function used in solving this questions$)***$

An American put option with X$=$$$50$ and T$=1$ currently sells for $$4.$ The underlying stock price $($S$0)$ is $$43.$

$1)$ Does the American put option price violate Fact $4?$ Explain why.

$2)$ is your arbitrage strategy? What is your immediate profit today?