medium · Frm Part 2 Risk & Investment Management

A pension plan manager decides to hedge interest rate risk by increasing the liability-asset correlation from 0.35 to 0.80.

If assets (A) are 120 billion and liabilities (L) are100 billion, with σ_A = 11% and σ_L = 12%, by how much does the surplus volatility decrease?

  1. 2.10 billion
  2. 4.55 billion
  3. 14.40 billion
  4. $6.35 billion

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