AØKA08007U Econometrics II (p)

Volume 2020/2021

MSc programme in Economics - mandatory course, if not taken at the BSc programme in Economics.


Bacheloruddannelsen i økonomi – Prioriteret valgfag på 3. år (angivet med et p). Vedr prioriterede valgfag, se studieordningen.

The Danish BSc programme in Economics - prioritized elective at the 3rd year (symbolized by ‘p’).



Econometrics II gives a detailed account of principles for estimation and inference based on the likelihood function and based on generalized method of moments estimation with application to cross-sectional data and time series data.


In addition, Econometrics II presents the econometric analysis of time series data, applying the concepts of non-stationarity, unit roots, co-integration, vector autoregressions, and autoregressive conditional heteroskedasticity (ARCH).


As an integral part of the course, students will learn how to carry out, present, and discuss an empirical analysis on their own.

Learning Outcome

After completing the course the student is expected to be able to:



  • Account for the different principles for estimation and inference – specifically the method of maximum likelihood, the (generalized) method of moments – and discuss relative advantages and drawbacks.
  • Give a precise definition and interpretation of the concept of stationarity of time series data.
  • Describe the conditions for consistent estimation and valid inference in a statistical model.
  • Give a precise definition of the concept of unit roots.
  • Explain the consequences of unit roots in economic time series data.
  • Interpret statistical models for stationary and non-stationary time series.
  • Give a precise definition and interpretation of the concepts cointegration and error correction
  • Account for statistical models based on cointegration and error correction.
  • Give a precise definition and interpretation of the concept of autoregressive conditional heteroskedasticity (ARCH).
  • Account for statistical models with ARCH in financial time series.



  • Identify the characteristic properties of a given data set of economic time series and suggest and construct relevant statistical models.
  • Derive estimators of the statistical model’s parameters using the principles of method of moments and maximum likelihood. Estimate and interpret the parameters.
  • Construct misspecification tests and analyze to what extent a statistical model is congruent with the data.
  • Construct statistical tests for unit roots in economic time series.
  • Construct statistical tests for cointegration in economic time series.
  • Formulate economic questions as hypotheses on the parameters of the statistical model and test these hypotheses.
  • Use statistical and econometric software to carry out an empirical analysis.
  • Present a statistical model and empirical results in a clear and concise way. This includes using statistic and econometric terms in a correct way, giving statistically sound and economically relevant interpretations of statistical results, and presenting results in a way so that they can be reproduced by others.



  • Choose the relevant statistical model given the characteristics of a given data set of economic time series and apply the statistical tools to carry out, present, and discuss an empirical analysis and test specific economic hypotheses.
  • Read and critically evaluate research papers containing applied econometric time series analyses.

Marno Verbeek: A Guide to Modern Econometrics, 5th Ed., Wiley. ISBN 978-1-119-472117.

Lecture notes.

The course requires knowledge equivalent to that achieved in 'Probability Theory and Statistics' and Econometrics I at the Study of Economics, University of Copenhangen.
Lectures and exercise classes.

Activities to challenge and activate students, such as in quizzes and peer-discussions, are used in lectures and as preparation. The exercise classes are both theoretical and applied with written assignment covering important topics in the course. Some of the exercise classes will be organized as workshops with all students together.

Autumn 2020:
2x2 hour lectures each week from week 36 to 50 (except week 42).
2 hours of workshops/exercise classes from week 36/37 to 50 (except week 42).

Spring 2021:
2x2 hour lectures each week from week 6 to 20 (except holidays).
2 hours of workshops/exercise classes each week from week 6/7 to 21 (except holidays).

The overall schema for the BA 3rd year and Master can be seen at KUnet:
MSc in Economics => "Courses and teaching" => "Planning and overview" => "Your timetable"
BA i Økonomi/KA i Økonomi => "Kurser og undervisning" => "Planlægning og overblik" => "Dit skema"

Timetable and venue:
To see the time and location of lectures and exercise classes please press the link/links under "Timetable"/​"Se skema" at the right side of this page (E means Autumn, F means Spring). The lectures is shown in each link.

You can find the similar information in English at
-Select Department: “2200-Økonomisk Institut” (and wait for respond)
-Select Module:: “2200-E20; [Name of course]” or “2200-F21; [Name of course]”
-Select Report Type: “List – Week Days”
-Select Period: “Efterår/Autumn – Weeks 31-4” or “Forår/Spring – Week 5-30”
Press: “ View Timetable”

Please be aware of the rules regarding exercise classes:
- The schedule of the exercise classes is only a pre-planned schedule and can be changed until the teaching begins without the participants´ acceptance. If this happens changes can be seen in your personal timetable at KUNet or in the app myUCPH and at the links in the right side.
- That the study administration allocates the students to the exercise classes according to the principles stated in the KUnet.
- If too many students have wished a specific class, students will be registered randomly at another class.
- It is not possible to change class after the second registration period has expired.
- If there is not enough registered students or available teachers, the exercise classes may be jointed.
- The student is not allowed to participate in an exercise class not registered, because the room has only seats for the amount of registered students.
- The teacher of the exercise class cannot correct assignments from other students than the registered students in the exercise class except with group work across the classes.
  • Category
  • Hours
  • Lectures
  • 56
  • Class Instruction
  • 28
  • Preparation
  • 98
  • Exam
  • 24
  • Total
  • 206
Continuous feedback during the course of the semester
Peer feedback (Students give each other feedback)


Students will receive written feedback at the assignments from two fellow students based on criteria set up by the lecturer. Students will rate the feedback received.

The lecturer will, if deemed relevant, provide oral collective feedback in lectures based on a sample of the assignments. Continuous feedback is available from online review quizzes in the lectures and from teaching assistants in exercise classes.

7,5 ECTS
Type of assessment
Portfolio, 48 hours
The exam is a written assignment consisting of three parts:
- Part 1 and 2 are based on 2 of the assignments worked on during the course. The student can use the received peer feedback to improve the assignments. The repeat assignments are chosen at random and reveals with the release of the exam.
- Part 3 is a new assignment.

All three parts must be uploaded to the Digital Exam portal in one file.

The assignments can be written individually or by groups of maximum three students.

The plagiarism rules must be complied and please be aware of the rules for co-written assignments.

The assignments must be written in English.
Exam registration requirements

To qualify for the exam the student must no later than the given deadlines during the course:

  • Hand in a minimum of 3 out of 4 mandatory assignments.
  • Give individuelly written peer feedback based on specific criteria for a minimum of 3 out of the 4 assignments to two other students.


The assignments and the feedback are controled by either the teaching assistants and/or the lecturer.


The assignments must be written individually or by groups of up to three students. The plagiarism rules must be complied and please be aware of the rules for co-written assignments.


The assignments and the peer feedback must be written in English.


All aids allowed

for the regular written exam


Marking scale
7-point grading scale
Censorship form
No external censorship
Exam period

The exam takes place:

Autumn 2020:

12 December at 10 AM to 14 December at 10 AM


Spring 2021:

To be announced not later than 14 November.


Exam information:

In special cases, the exam date can change to another day and time within the exam period.


Further information about the exam will be available in the Digital Exam from the middle of the semester.


More information about examination, rules, aids etc. is available at Master(UK), Master(DK) and Bachelor(DK).



The reexam takes place:

Autumn 2020:

In week 8 and/or 9, February 2021.


Spring 2021:

To be announced.


Reexam information:

The reexam is a 20 minuts oral exam with 20 minuts preparation. Written aids as books, notes etc are allowed during the preparation. Notes made during the preparation are allowed at the examination.

The questions cover the entire curriculum and are based on the cases in the written assignments worked with during the semester.

The Exam Office informs the exact days and time.


More information about rules, aids etc.:

at Master(UK), Master(DK) and Bachelor.

Criteria for exam assesment

Students are assessed on the extent to which they master the learning outcome for the course.


To receive the top grade, the student must with no or only a few minor weaknesses be able to demonstrate an excellent performance displaying a high level of command of all aspects of the relevant material and can make use of the knowledge, skills and competencies listed in the learning outcomes.