hard · Frm Part 2 Risk & Investment Management

A portfolio contains a large allocation to a private real estate fund with reported correlation to equities of 0.20 and a first-order autocorrelation of 0.45.

If the risk system applies a 'lag-adjustment' that triples the reported correlation to reflect economic reality, what is the impact on the portfolio's diversified 99% VaR if the real estate position is $100 million and its reported daily volatility is 0.50%?

  1. VaR decreases due to the higher diversification benefit of the 0.60 correlation.
  2. VaR increases solely due to the correlation change, as the volatility adjustment is only used for capital, not VaR.
  3. VaR remains unchanged because unsmoothing only affects the asset's standalone risk, not its contribution.
  4. VaR increases because both true volatility and true correlation are higher than reported.

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