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Consider a two-period economy with 2 securities, Lambda (security 1) and Omega (security 2), which are both in unit supply. They are traded in
Consider a two-period economy with 2 securities, Lambda (security 1) and Omega (security 2), which are both in unit supply. They are traded in the trading period t = 0 at prices p= cash-flows x 1+rint= investment. = x1 x2 and risky final P2 are distributed in t = 1. A risk free asset is available that delivers a payment of for an investment of 1 unit in t = 0. There are no limitations on short sales of the risk free There are two investors, Anna and Bill with identical mean-variance preferences over uncertain wealth , i.e. U() = E Var() but different degrees of absolute constant risk aversion of bA bB and bA > 0 and bB > 0, respectively. Anna and Bill agree in their assessments about the cash-flow realizations in different states = , but differ in their risk assessments such that Var^ (x) = 4 1 and Var (x)= 9 0 (6 %) = a. Which fundamental functions of asset markets are modelled in this example? (2 points) b. Can you define and determine equilibrium prices for all traded securities? How can you interpret those prices? (4 points) c. Should short sales be prohibited in this example, and if so, why? (2 points)
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