$1.$ Create a European Call Option with eight movements and give me the price.The inputs are Spot$=10$Strike$=12$R$=8\%$Delta P$=2$Periods$=8$P$($u$)=\mathrm{.}6$P$($d$)=\mathrm{.}42.$ Create an American Call Option with eight movements and give me the price.The inputs are Spot$=10$Strike$=12$R$=8\%$Delta P$=2$Periods$=8$P$($u$)=\mathrm{.}6$P$($d$)=\mathrm{.}43.$ Randomly change the inputs and tell me how the price changes and if it is an expected direction $($on both European and American$)4.4.$ How would the answers to number three change if we did a put option instead of a call option?$5.5.$ Would we expect the changes to be higher for an American or European option?