We present an explicit formula for European options on coupon bearing bonds and swaptions in the Heath-Jarrow-Morton (HJM) one factor model with non-stochastic volatility. The formula extends the Jamshidian formula for zero-coupon bonds. We provide also an explicit way to compute the hedging...

Australian dollar bills futures are very particular, not only on the valuation at expiry but also for the maturity delivery option and the credit delivery option. This note consider only the interest rate part of the futures (marginning and maturity delivery option). An explicit formula for the...

Dynamic term structure models (DTSMs) price interest rate derivatives based on the model­ implied fair values of the yield curve, ignoring any pricing residuals on the yield curve that are either from model approximations or market imperfections. In contrast, option pricing in practice often...

We identify and characterize a class of term structure models where bond yields are quadratic functions of the state vector. We label this class the quadratic class and aim to lay a solid theoretical foundation for its future empirical application. We consider asset pricing in general and...

We derive discrete markov chain approximations for continuous state equilibrium term structure models. The states and transition probabilities of the markov chain are chosen effciently according to a quadrature rule as in Tauchen and Hussey (1991). Quadrature provides a simple yet method which...

Two types of financial instruments including (overnight) compounding are studied in this note. The first one is overnight compounded instruments in the case where the settlement is delayed with respect to the end of the compounding period (floating leg of the OIS). The second is options on the...

We present a dynamic term structure model in which interest rates of all maturities are bounded from below at zero. Positivity and continuity, combined with no arbitrage, result in only one functional form for the term structure with three sources of risk. One dynamic factor controls the level...

A popular way to value (Bermudan) swaption in a Hull-White or extended Vasicek model is to use a tree approach. In this note we show that a more direct approach through iterated numerical integration is also possible. A brute force numerical integration would lead to a complexity exponential in...

This paper considers a class of Heath-Jarrow-Morton (1992) term structure models, characterized by time deterministic volatilities for the instantaneous forward rate. The bias that arises from using observed futures yields as a proxy for the unobserved instantaneous forward rate is analyzed. The...

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...