The stock price of ABC changes only once a month: either it goes up by $20\%$ or it falls by $16\mathrm{.}7\%.$ Its price is now $$40.$ The interest rate is $12\mathrm{.}7\%$ per year, or about $1\%$ per month.$$Using put$-$call parity, what is the price for a one$-$month put with the same exercise price? And a two$-$month pur with the same exercise price?