The Federal Reserve adjusts the federal funds target rate discretely, causing discontinuity in short-term interest rates. Unlike Poisson jumps, these adjustments are well anticipated by the market. We propose a term structure model that incorporates an anticipated jump component with known arrival times but random jump size. We find that doing so improves the model performance in capturing the term structure behavior. The mean jump sizes extracted from the term structure match the realized target rate changes well. Specification analysis indicates that the jump sizes show strong serial dependence and dependence on the interest-rate factors.

Classic bond pricing centralizes bond valuation across all maturities by specifying the dynamics of the short-term interest rate. This article develops a decentralized theory that prices each bond based purely on the near-term behavior of the bond’s own yield. The theory levers the domain expertise of an investor on a particular bond and allows the investor to make pricing and investment analysis on the bond without the shackles of an ambitious centralizing mandate. The theory decomposes the short-term return on a bond with respect to the variation of its own yield. Imposing no dynamic arbitrage on the return decomposition leads to a simple pricing equation relating the bond yield to the market pricing and conditional mean and variance forecasts of the yield’s near-term change. The article illustrates the theory’s applications in decentralized investment of a single bond and in the construction and investment of decentralized butterfly bond portfolios.

We consider the design and estimation of quadratic term structure models. We start with a list of stylized facts on interest rates and interest rate derivatives, classified into three layers: (1) general statistical properties, (2) forecasting relations, and (3) conditional dynamics. We then investigate the implications of each layer of property on model design and strive to establish a mapping between evidence and model structures. We calibrate a two-factor model that approximates these three layers of properties well, and show that a flexible specification for the market price of risk is important in capturing the stylized evidence in forecasting relations while factor interactions are indispensable in generating the hump-shaped dynamics of bond yields.