If I Try To Price The Options On Xyz Corp The Current Stock Price 100 Share Risk

The price of the options on XYZ Corp.The current stock price of XYZ=$100/share.The risk free rate =5%. I want to project that the stock price will either be $90 or $120 in a year. I want to borrow or lend money at the risk-free rate. I want to use the risk-free portfolio approach to price the 1 year put option on XYZ Corp with the strike price of $105. How do I calculate the put cal parity and put option prices? And How do I estimate the implied volatility?

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