sa p-v ations

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Question Four
a) Outline step-by-step, the Johansen's methodology for testing for cointegration
between a set of variables in the context of a VAR.
b) Suppose that a researcher has a set of three variables, yt (t = 1, ........., T),
i.e. y denotes a p-variate, or p x 1 vector, that she wishes to test for the existence of
cointegrating relationships using the Johansen procedure.
What is the implication of finding that the rank of the appropriate matrix takes on a
value of;
i.) 0
ii.) 1
iii.)2
iv.)3?
c) The researcher obtains results for the Johansen test using the variables outlined in
part (b) as follows:
r
0123.
λmax
38.65
26.91
10.67
8.55
5% critical value
30.26
23.84
17.72
10.71
Determine the number of cointegrating vectors, explaining your answer.
Transcribed Image Text:Question Four a) Outline step-by-step, the Johansen's methodology for testing for cointegration between a set of variables in the context of a VAR. b) Suppose that a researcher has a set of three variables, yt (t = 1, ........., T), i.e. y denotes a p-variate, or p x 1 vector, that she wishes to test for the existence of cointegrating relationships using the Johansen procedure. What is the implication of finding that the rank of the appropriate matrix takes on a value of; i.) 0 ii.) 1 iii.)2 iv.)3? c) The researcher obtains results for the Johansen test using the variables outlined in part (b) as follows: r 0123. λmax 38.65 26.91 10.67 8.55 5% critical value 30.26 23.84 17.72 10.71 Determine the number of cointegrating vectors, explaining your answer.
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