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Consider a three-step binomial in which a currency currently trades at a price of kshs 100. The currency price can go up by 10% or down 9% each period. The risk-free rate is 8%. Calculate the price of a European call option expiring in three periods with an exercise price of kshs 145. Similarly calculate the price of a European put option expiring in three periods with the same strike price, considering that the contract maturity is 1 year.