Have been determined : The price of a particular asset follows a binomial model and today is priced at $$100.$ The factor d is $80\%$ of the factor u and is estimated that if the Asset moves up $8$ times in $12$ transactions $(12$ periods$)$ will be valued at $$94\mathrm{.}2080.$ The probability of going up is $75\%.$ a$.$ Calculate the values of the factor $"$ u $"$ and $"$ d $".$ b$.$ Show a diagram with the binomial development of the price for $2$ periods. c$.$ How Many times the Asset will reach the value $$94\mathrm{.}2080?$ d$.$ Calculate the probability of exercising a Call option with Strike price of $$140$ e$.$ Calculate the expected value of the Call option