Suppose Corteva Inc $($CTVA$)$ just issued new shares for $$62.$ According to CTVA option information book, the up$-$size factor is $1\mathrm{.}25$ each month. Calculate the price of a call option on the stock with an exercise price of $$42$ and a maturity of two months. Assume the risk$-$free rate is $3\mathrm{.}75\%.$ Employ the risk$-$neutral valuation method.