please use the formula from the example below

I'm sorry I do not have the risk neutral formula

please show work not using excel

Q2: (30 points) A stock price is currently $55. It is known that at the end of four months it will be either $58 or $52. The risk-free interest rate is 8% per annum with continuously compounding. (1) What is the value of a four-month European put option with a strike price of $55 using the no-arbitrage argument? (2) What is the value of a four-month European put option with a strike price of $55 using the risk-neutral valuation