Today a stock is $$100,$ and a call option on this stock with a year to expiration and a $$120$ strike price is trading with a $$6\mathrm{.}06$ premium. The risk$-$free rate is $10\%.$ What is the premium of a put option on the stock with the same strike and expiration? $1\mathrm{.}286\mathrm{.}067\mathrm{.}2215\mathrm{.}15$