need solutions and clear explanations. thanks for the help

A European binary (or Digital ) option pays $5 if the stock ends above $57 after 3 months and nothing otherwise. The following 3-period binomial tree represents the monthly stock price movements: 71.46 67.42 63.60 S(0) = 60 64.72 61.06 57.60 58.61 55.30 53.08 Assuming cont. compounded interest rate of r = 3% and no dividends, find the replicating portfolios for each date if the stock prices moves according to S(0) = 60 S(1) = 57.60 S(2) = 61.06 S(3) = 64.72. Verify that your replicating strategy is self-financing at each step