Suppose the price of a stock that does not pay dividends is currently $100/share, and it will be either $200 or $50 next period. The interest rate per period is exp(rt)-1 = 1% for investing or borrowing; bonds with face value $100 are currently worth $99.010. A digital option will pay off $100 if the stock price is below $100, and zero otherwise. a) What are the positions in stock and in bonds that replicate the digital option payoffs (ie: # of shares and face value of the bond)