**Optimization Problem 1**

Minimize error from the CVaR quadrangle:

$$\min\_{\mathbf{C}\_{0}\in\mathbb{R},\ \mathbf{C}\in\mathbb{R}^{m}}\overline{\mathbf{C}}\_{\alpha}(Z(\mathbf{C}\_{0},\mathbf{C})) $$

where <sup>Z</sup>(*<sup>C</sup>*0,*<sup>C</sup>*) = *V* − *C*0 − *CTY*.
