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6027统计中等数值题medium

When GARCH(1,1) Becomes EWMA

题目

RiskMetrics EWMA updates variance as ht=(1λ)rt12+λht1h_t=(1-\lambda)r_{t-1}^2+\lambda h_{t-1}. State the constraints on (ω,α,β)(\omega,\alpha,\beta) that make GARCH(1,1) coincide exactly with EWMA, and give the implied λ\lambda when α=0.06\alpha=0.06. Report λ\lambda as a decimal.

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lambda_value