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 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...

This paper presents a portfolio model of asset price effects arising from large-scale asset purchases by central banks — commonly known as quantitative easing (QE). Two financial frictions, segmentation of the market for central bank reserves and imperfect asset substitutability, give rise to...

The Svensson generalization of the popular Nelson-Siegel term structure model is widely used by practitioners and central banks. Unfortunately, like the original Nelson-Siegel specification, this generalization, in its dynamic form, does not enforce arbitrage-free consistency over time. Indeed,...

In August 2011, the Swiss National Bank engaged in unconventional monetary policy through an unprecedented expansion of bank reserves. As these actions did not involve any outright long-term asset purchases, this unique episode allows for novel insights on the transmission mechanism of central...

Recent U.S. Treasury yields have been constrained to some extent by the zero lower bound (ZLB) on nominal interest rates. In modeling these yields, we compare the performance of a standard affine Gaussian dynamic term structure model (DTSM), which ignores the ZLB, and a shadow-rate DTSM, which...

U.S. Treasury yields and other interest rates increased in the months leading up to the Federal Reserve’s December 2013 decision to cut back its large-scale bond purchases. This increase in rates probably at least partly reflected changes in what bond investors expected regarding future...

Prices of special financial instruments called inflation derivatives can provide valuable insight into investors’ views of future inflation. Projections from inflation swap rates suggest inflation will remain low for some time and return only slowly to levels consistent with the Federal...

To support the economy, the Federal Reserve amassed a large portfolio of long-term bonds. We assess the Fed’s associated interest rate risk — including potential losses to its Treasury securities holdings and declines in remittances to the Treasury. Unlike past examinations of this interest...

The ability of the usual factors from empirical arbitrage-free representations of the term structure—that is, spanned factors—to account for interest rate volatility dynamics has been much debated. We examine this issue with a comprehensive set of new arbitrage-free term structure...