Consider a $11-$period binomial model with R$=1\mathrm{.}05$R$=1\mathrm{.}05,$ S$0=50$S$0=50,$ u$=1/$d$=1\mathrm{.}08$u$=1/$d$=1\mathrm{.}08.$ What is the value of a European call option on the stock with strike K$=52$K$=52,$ assuming that the stock does not pay dividends?

Please submit your answer rounded to two decimal places. So for example, if your answer is $5\mathrm{.}4895\mathrm{.}489$ then you should submit an answer of $5\mathrm{.}485\mathrm{.}48$ or $5\mathrm{.}495\mathrm{.}49.$