$1)$ Suppose that a firm expects a very important announcement today. The outcome of that announcement is unclear $($positive or negative each with $50\%$ probability$).$ The current price of firm$$s stock is $50.$ An investor decides to employ a straddle strategy by buying a call with K $=50$ by paying $2/$ share and also buying a put paying $2\mathrm{.}5/$share$.$ If these options are European $,$ what will be the investor$$s profit or loss at the end of maturity in each of the possible cases below

A$)$ If price is $52$ b$)$ If Price is $58$ c$)$ If price is $45$