Problem: Suppose the stock price is $150, after six months, it either goes up and gets multiplied by the up factor of 1.2689 or goes down and gets multiplied by the down factor of 0.8718. The option matures after one year, the strike price is $160, a dollar invested grows to 1.01258 after six months. Using the synthetic approach of the binomial model determine number of stock and money market account (mma) units required in down node of period one (i.e., time six months) when evaluating the European put price.