Assume that the stock of an Auto manufacturer is currently priced at $45. At the end of the next year, the price of this stock is expected to be either $75 or $D where D is unknown. The yearly interest rate is 5%. A European call option on this stock with strike price $55 with exercise date one year from now is priced at $10 today, and assume that this price does not contain any arbitrage opportunities. What is the fair price of a European put option on this stock with a strike price of $30 and with exercise date one year from now?