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.
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- Mertens, Karel & Ravn, Morten O, 2009.
"Measuring the Impact of Fiscal Policy in the Face of Anticipation: A Structural VAR Approach,"
CEPR Discussion Papers
7423, C.E.P.R. Discussion Papers.
- Karel Mertens & MortenO. Ravn, 2010. "Measuring the Impact of Fiscal Policy in the Face of Anticipation: A Structural VAR Approach," Economic Journal, Royal Economic Society, vol. 120(544), pages 393-413, 05.
- Lippi, Marco & Reichlin, Lucrezia, 1994.
"VAR analysis, nonfundamental representations, blaschke matrices,"
Journal of Econometrics,
Elsevier, vol. 63(1), pages 307-325, July.
- Marco Lippi & Lucrezia Reichlin, 1994. "VAR analysis, non-fundamental representations, Blashke matrices," ULB Institutional Repository 2013/10151, ULB -- Universite Libre de Bruxelles.
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