Quiz III

  1. Suppose there are two states and three assets. The asset return matrix is \begin{equation*} A=\begin{pmatrix} 1&0&2\\ 2&1&0 \end{pmatrix}. \end{equation*} Find all state prices, and asset prices such that the no-arbitrage condition is satisfied.
  2. Suppose there are three states and two assets. \begin{equation*} A=\begin{pmatrix} 1&0\\ 0&2\\ 1&1 \end{pmatrix} \end{equation*} Find all state prices, and asset prices such that the no-arbitrage condition is satisfied.
  3. Under what circumstances do asset prices uniquely define the state price vector?