using the binomial option pricing model calculate the value of the call if S$=$ $$100,$ X $=80,$ and the stock can either be worth $$120$ or $$60$ one year from now. Assume that the risk free rate is $10\%.$ Without having to preform the calculation if the stock prices one year from now were $$90$ and $$70,$ would the value of the call be greater or less than the previous value? Explain.