The value of a project is $$100$ and the cost at t$=0$ is $$104.$The project value follows a binomial model. It could go up to $$180$ or down to $$60.$ The government posts a guarantee of $$78$ at time $1.$ What is the value of the option? The required rate of return is $20\%$ and the risk free rate is $8\%$ per period.$$use binomial model method$)$