You are asked to consider whether the risk measure [math]\rho ( X ) = E( X ) [/math] is coherent.

Determine which of the following statements is correct.

• [math]\rho ( X )[/math] does NOT possess subadditivity.
• [math]\rho( X ) [/math] does NOT possess monotonicity.
• [math]\rho( X ) [/math] does NOT possess positive homogeneity.
• [math]\rho( X ) [/math] does NOT possess translation invariance.
• [math]\rho ( X )[/math] is a coherent risk measure.