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3101统计中等derivationmedium

Two-Step Forecast from Today’s Variance

题目

For a GARCH(1,1) process with ω=110\omega=\frac{1}{10}, α=15\alpha=\frac{1}{5}, β=35\beta=\frac{3}{5}, suppose you already know the one-step-ahead conditional variance ht+1=2h_{t+1}=2. Compute Et[ht+2]E_t[h_{t+2}] and Et[ht+3]E_t[h_{t+3}].

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E_t[h_{t+2}]

E_t[h_{t+3}]