4. Suppose a unit of a certain stock is worth 100 euro now and in one time tick can increase or decrease by 25 euro.

(a) What is the value of an option to buy the stock at 110 euro after one time tick? (Assume that r = 0 and B0 = 1.)

(b) Construct the (, ) portfolio and show that the final worth of the portfolio is exactly the claim value.

5. Consider the stock process in Q4. Find the price of a derivative which pays 100 if the stock ends higher than it started and nothing otherwise.