Arbeitspapier

A terminological note on cyclotomic polynomials and Blaschke matrices

In a recent paper, Mertens and Ravn (2010) study the effects of anticipated fiscal policy shocks in a structural vector autoregressive model. The authors maintain that (i) the lag polynomial associated with news shocks is a cyclotomic polynomial and (ii) the matrix B(L) which transforms a nonfundamental MA representation into a fundamental one is a Blaschke matrix. Though the results in Mertens and Ravn (2010) are correct, we find that the terms 'cyclotomic' and 'Blaschke matrix' are misused.

Language
Englisch

Bibliographic citation
Series: Economics Working Paper ; No. 2012-13

Classification
Wirtschaft
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Business Fluctuations; Cycles
Subject
Nonfundamentalness
Cyclotomic polynomial
Blaschke matrix
Finanzpolitik
Schock
VAR-Modell
Theorie

Event
Geistige Schöpfung
(who)
Offick, Sven
Wohltmann, Hans-Werner
Event
Veröffentlichung
(who)
Kiel University, Department of Economics
(where)
Kiel
(when)
2012

Handle
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Offick, Sven
  • Wohltmann, Hans-Werner
  • Kiel University, Department of Economics

Time of origin

  • 2012

Other Objects (12)