Assume a finite state economy with three assets whose payoff matrix is given by

X =

$30

$20

$10

$20

$15

$0

  1. What are the payoffs of the third asset?
  2. Is the third asset redundant and why?
  3. Is the second asset redundant and why?
  4. Is the market complete?
  5. Suppose the prices of the three assets are $25, $17, and $8. Does the Law of One Price hold in this market?
  6. What should be the price of a new asset that provides payoffs of $20 or nothing in the two states?