Suppose that a variable can take on 4 different values tomorrow. Define 1 as the value of a derivative that pays off $2 if the

Suppose that a variable can take on 4 different values tomorrow. Define π1 as the value of a derivative that pays off $2 if the 1st outcome occurs tomorrow, π2 the value of another derivative that pays off $2 if the 2nd outcome occurs tomorrow, π3 as the value of a derivative that pays off $2 if the 3rd outcome occurs tomorrow, π4 the value of another derivative that pays off $2 if the 4th outcome occurs tomorrow. Assume further that the risk-free rate is r and the time between today and tomorrow is T. What is the value of π1 + π2 + π3 + π4?