You try to pric the options on XYZ Corp. The current stock price of XYZ is $100/share. The risk-free rate is 5%. You project the stock price of XYZ will either be $90 or $120 in a year. Assume you can borrow or lend money at the risk-free rate. Use risk-neutral approach to price the 1 year call option on XYZ corp with the strike price of $105 and use the risk-free portfolio approach to price the 1 year put option on XYZ with the strike price of $105. Also, calculate the put-call parity to verify the call and put option for the call and put option. What is the implied volatility?
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