3) The premium of a call option with a strike price of $45 is equal to $4.5 and the premium of a call option with a strike price of $55 is equal to $2. The premium of a put option with a strike price of $45 is equal to $2.5. The risk-free rate of interest is 6%. In the absence of arbitrage opportunities, what should be the premium of a put option with a strike price of $55? All these options have a time to maturity of 3 months. (You are not allowed to use the put-call parity to solve this problem)