We want to price a European call option: $\backslash$phi $($S$($T $))=$ max$\{0,$ K $$ S$($T $)\}$

on a risky asset whose price at the end of month t is S$($t$)$ and which, in one month, can go up by $10\%$ or go down by $15\%.$ The monthly interest rate is $0\%$ charged at the end of the month; T is the exercise month, exercised on the last day of the month and K is the strike price. Assuming that S$(0)=60,$ K $=65,$ and the contract is entered at the first of the month. For the call option, draw out the binary tree when T $=3$ and a $3\%$ dividend is paid on the price of the asset every two periods;