Q-80. What is the correct formula for the Exponentially Weighted Moving Average (EWMA) approach to variance estimation? | Financial Risk Manager Part 1 Quiz - LeetQuiz
Financial Risk Manager Part 1
Explanation:
Explanation:
The solution states: "The EWMA formula is: σₙ² = (1 − λ)rₙ₋₁² + λσₙ₋₁²"
EWMA Formula Components:
σₙ² = current variance estimate
rₙ₋₁² = squared return from previous period
σₙ₋₁² = previous variance estimate
λ = decay factor (0 < λ < 1)
Key Points:
The weight (1 - λ) is applied to the most recent squared return
The weight λ is applied to the previous variance estimate
This creates an exponentially decaying weighting scheme where more recent observations receive higher weights
The formula uses the previous period's return (rₙ₋₁²), not the current period's return
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Q-80. What is the correct formula for the Exponentially Weighted Moving Average (EWMA) approach to variance estimation?