Please help with this question, and kindly show your work in detail for ease of walking through it & understanding. Thanks

Question 3 (5 points} Suppose that in a GARCHIIIJ) model, to = 0000003 (or 3*10 -6 ), at = 0.015, 0 = 0.97. (a) {2 points) What is the long-run average daily variance? What is the long-run average monthly volatility? Assume that there are 21 trading days in a month. (1)) (3 points) If the current daily volatility is 0.5% per day, what is your estimate of the annualized volatility in 10, 30, and 50 days? Is your estimate increasing or decreasing in number of days? Briey explain why it is increasing or decreasing