
Explanation:
For a GARCH(1,1) process to be stable, the sum of the parameters α and β needs to be less than 1.0. The correct combination of values for α and β that satisfies this condition is α = 0.075637 and β = 0.923363, which adds up to 0.99899, just below the threshold of 1.0. This ensures the stability of the GARCH(1,1) model in estimating the variance of stock returns.
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In the context of a GARCH(1,1) process, where the expected return is constant, a risk analyst is tasked with determining the variance of stock returns on day , denoted by . The variance calculation follows the formula . In this formula, represents the return from the previous day, , and represents the volatility from the previous day, . Given this information, what is the correct set of values for and ?
A
α = 0.073637 and β = 0.927363
B
α = 0.075637 and β = 0.923363
C
α = 0.084637 and β = 0.916363
D
α = 0.086637 and β = 0.914363