Suppose the yield on short-term government securities (perceived to be risk-free) is about 6%. suppose also that the expected return required by the market for a portfolio with a beta of 1 is 13.0%. according to the capital asset pricing model: a. what is the expected return on the market portfolio?
b. what would be the expected return on 4 zero-beta stock?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.