A stock trading at $$48$ has a volatility of $27$ percent. The continuously compounded risk$-$free rate is $5$ percent. A dividend of $$1\mathrm{.}5$ is expected in $3$ months, and no other dividends are expected during the next $12$ months.

Price a European call written on this stock with an exercise price of $$50$ and a time to maturity of one year.