Say the market portfolio is equally likely to increase by 20% or decrease by 14%.

a. Calculate the beta of a firm that goes up on average by 43% when the market goes up and goes down by 15% when the market goes down?

b. Calculate the beta of a firm that goes up on average by 19% when the market goes down and goes down by 9% when the market goes up?

c. Calculate the beta of a firm that is expected to go up 4% independently of the market?