We derive the class of arbitrage-free affine dynamic term structure models that approximate the widely-used Nelson-Siegel yield-curve specification. Our theoretical analysis relates this new class of models to the canonical representation of the three-factor arbitrage-free affine model. Our...

We analyze the declines in government bond yields that followed the announcements of plans by the Federal Reserve and the Bank of England to buy longer-term government debt. Using empirical dynamic term structure models, we decompose these declines into changes in expectations about future...

Standard Gaussian term structure models have often been criticized for not ruling out negative nominal interest rates, but this flaw has been especially conspicuous with interest rates near zero in many countries. We provide a tractable means to estimate an alternative Gaussian shadow-rate...

We construct probability forecasts for episodes of price deflation (i.e., a falling price level) using yields on nominal and real U.S. Treasury bonds. The deflation probability forecasts identify two “deflation scares” during the past decade: a mild one following the 2001 recession and a...

In response to the global financial crisis that started in August 2007, central banks provided extraordinary amounts of liquidity to the financial system. To investigate the effect of central bank liquidity facilities on term interbank lending rates, we estimate a six-factor arbitrage-free model...

We construct probability forecasts for episodes of price deflation (i.e., a falling price level) using yields on nominal and real U.S. Treasury bonds. The deflation probability forecasts identify two "deflation scares" during the past decade: a mild one following the 2001 recession, and a more...

Differences between yields on comparable-maturity U.S. Treasury nominal and real debt, the so-called breakeven inflation (BEI) rates, are widely used indicators of inflation expectations. However, better measures of inflation expectations could be obtained by subtracting inflation risk premiums...

We derive a model-independent maximum range for the admissible liquidity risk premium in real Treasury bonds—also known as Treasury Inflation Protected Securities (TIPS). The range is constructed using additional information in the inflation swap market and a set of simple theoretical...

This paper presents a regime-switching model of the yield curve with two states: a normal state and a zero-bound state for the case when the monetary policy target rate is stuck at the nominal zero bound, as the U.S. economy has been since December 2008. The model delivers estimates of the...

We derive the class of affine arbitrage-free dynamic term structure models that approximate the widely used Nelson-Siegel yield curve specification. These arbitrage-free Nelson-Siegel (AFNS) models can be expressed as slightly restricted versions of the canonical representation of the...