Arbitrage Pricing - Discrete Models

Overview


Models of Possible Worlds


{% w = \begin{bmatrix} w_1 \\ w_2 \\ w_3 \\ \end{bmatrix} %}
{% S = \begin{bmatrix} S_1 \\ S_2 \\ S_3 \\ \end{bmatrix} %}
{% C = \begin{bmatrix} C_1 \\ C_2 \\ C_3 \\ \end{bmatrix} %}
The payout matrix is listed as the payouts for each asset in each state of the world. Each row represents an asset, and each column is a state of the world.
D = {% \begin{bmatrix} d_{11} & d_{12} & d_{13} \\ d_{21} & d_{22} & d_{23}\\ d_{31} & d_{32} & d_{33} \\ \end{bmatrix} %}

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