A term structure model with level factor cannot be realistic and arbitrage free
AbstractA large part of the term structure literature interprets the first underlying factors as a level factor, a slope factor, and a curvature factor. In this paper we consider factor models interpretable as a level factor model, a level and a slope factor model, respectively. We prove that such models are compatible with no-arbitrage restrictions and the positivity of rates either under rather unrealistic conditions on the dynamic of the short term interest rate, or at the cost of explosive long-term interest rates. This introduces some doubt on the relevance of the level and slope interpretations of factors in term structure models.
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Bibliographic InfoPaper provided by Banque de France in its series Working papers with number 359.
Length: 36 pages
Date of creation: 2012
Date of revision:
Interest Rate; Term Structure; Affine Model; No Arbitrage; Level Factor; Slope Factor.;
Find related papers by JEL classification:
- E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
- E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
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