Interest rates

Modelling inflation

Lars Kjaergaard models inflation using a three-factor Gaussian method. This gives a simple description of derivatives linked to inflation and interest rates, and allows for fast evaluation. He then shows how the model can be calibrated

Modelling inflation

Lars Kjaergaard models inflation using a three-factor Gaussian method. This gives a simple description of derivatives linked to inflation and interest rates, and allows for fast evaluation. He then shows how the model can be calibrated

Modelling inflation

Lars Kjaergaard models inflation using a three-factor Gaussian method. This gives a simple description of derivatives linked to inflation and interest rates, and allows for fast evaluation. He then shows how the model can be calibrated

Valuing inflation futures contracts

In recent years, futures contracts written on inflation (specifically, on the ratio of the consumer price index (CPI) level at two different times) have been introduced. Working within the Jarrow & Yildirim (2003) model, John Crosby derives formulas for…

Excess yields in bond hedging

Litterman & Scheinkman (1991) showed that the term structure of interest rates is reliablymodelled by an affine three-factor model using principal component analysis. Such a modelis inconsistent with no arbitrage. Here, Haim Reisman and Gady Zohar derive…

Correlating market models

While swaption prices theoretically contain information on interest rate correlation, Bruce Choy, Tim Dun and Erik Schlögl argue that, for any practical purpose, this information cannot be extracted. Care must therefore be taken when pricing correlation…

Component proponents II

Christophe Pérignon and Christophe Villa propose a novel method of extracting the risk factors driving interest rates that allows both the covariance matrix of interest rates and the variances of the risk factors to vary through time. To illustrate the…

Swap vega in BGM: pitfalls and alternatives

Raoul Pietersz and Antoon PelsserPractitioners who are developing the Libor BGM model for risk management of a swap-based interest rate derivative be warned: for certain volatility functions the estimate of swap vega may be poor. This may occur for time…

Shadow interest

Using a Vasicek process for the shadow rate, Viatcheslav Gorovoi and Vadim Linetsky develop an analytical solution for pricing zero-coupon bonds using eigenfunction expansions, and show how to calibrate their model to the Japanese bond market. This…

Black smirks

Fei Zhou presents a simple stochastic volatility extension of the Black interest rate option pricing model widely used by traders. Using a perturbative expansion in volatility of volatility, he derives modified Black formulas that correctly fit the…

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