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Suppose you estimated an AR(1) model on the VIX, finding that VIX(t+1)=1.05+0.99*VIX(t)+e. Given the VIX is at 20.05 today, what would be the forecast of

Suppose you estimated an AR(1) model on the VIX, finding that VIX(t+1)=1.05+0.99*VIX(t)+e. Given the VIX is at 20.05 today, what would be the forecast of the VIX two days from now according to the AR(1) model? And what would be the forecast of the VIX two days from now according to the random walk model?

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