Binomial Option Pricing Model $-$ III

A stock is currently priced at $$100.$ Over each of the next two $6-$month periods it is

expected to go up by $10\%$ or down by $10\%.$ The risk$-$free rate is $8\%$ pa$.$

What is the risk$-$neutral probability of the stock price going up$?($at least $4$ decimal

places$)$

$1$ point

What is the risk$-$neutral probability of the stock price going down? $($at least $4$

decimal places$)$

What is the price of a European call option with a strike of $$100?($at least $2$ decimal

places$)$