Questions
Single choice
Consider the following GARCH(1,1) model for the volatility of asset returns ๐ ๐ก : ๐ ๐ก = ๐ผ + ๐ฝ ๐ ๐ก โ 1 + ๐ ๐ก ๐ ๐ก = โ ๐ก ๐ข ๐ก โ ๐ก = ๐ + ๐ฟ โ ๐ก โ 1 + ๐ ๐ ๐ก โ 1 2 ๐ผ ๐ก โ 1 ( ๐ข ๐ก ) = 0 ๐ผ ๐ก โ 1 ( ๐ข ๐ก 2 ) = 1 You estimated the following values for the parameters Estimates Parameters ๐ผ ๐ฝ ๐ ๐ฟ ๐ Estimates 0.111 0.8122 0.0011 0.9321 0.0511 Assume that the last 2 observations of the return process are ๐ ๐ = 0.27 and ๐ ๐ โ 1 = 0.02 , and the value of the conditional variance in the last period of your sample is โ ๐ = 0.75 . Then what is the predicted value of the conditional variance โ ๐ + 1 in period ๐ + 1 ?
Options
A.โ
ฬ
๐
+
1
=
0.0729
B.โ
ฬ
๐
+
1
=
0.701216
C.There is not enough data to compute
โ
ฬ
๐
+
1
.
D.โ
ฬ
๐
+
1
=
0.519615
E.โ
ฬ
๐
+
1
=
0.866025
F.โ
ฬ
๐
+
1
=
0.75
View Explanation
Verified Answer
Please login to view
Step-by-Step Analysis
To tackle this prediction problem, Iโll walk through how the next periodโs conditional variance h_{T+1} is formed in a GARCH(1,1) setting as described by the given parameter estimates and the observed data.
First, identify the components you need for the forecast. In a typical GARCH(1,1) framework adapted to the notation in the prompt, the next-period conditional variance is computed as:
h_{T+1} = ฮผ + ฮด h_T + ฯ ฮต_T^2,
where:
- ฮผ is the intercept term,
- ฮด is the coefficient on the lagged variance h_T,
- ฯ is the coefficient on the squared shock ฮต_T^2, and
- ฮต_T is th......Login to view full explanationLog in for full answers
We've collected overย 50,000 authentic exam questionsย andย detailed explanationsย from around the globe. Log in now and get instant access to the answers!
Similar Questions
On Tuesday, you calculated the volatility of Wednesday as 5% using the GARCH model, which information will make the Thursday volatility become even higher?
When estimating the GARCH model, an intermediate step is to predict tomorrow's return.
When estimating the GARCH model, an intermediate step is to predict tomorrow's return.
On Tuesday, you calculated the volatility of Wednesday as 5% using the GARCH model, which information will make the Thursday volatility become even higher?
More Practical Tools for Students Powered by AI Study Helper
Making Your Study Simpler
Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!