Interest rate markets
Joining the SABR and Libor models together
Fabio Mercurio and Massimo Morini propose a Libor market model consistent with SABR dynamics and develop approximations that allow for the use of the SABR formula with modified inputs. They verify that the approximations are acceptably precise, imply…
Absorbing the shock
Plunging interest rates have savaged Dutch pensions' cover ratios, marring the schemes' reputation for cutting-edge risk management - and leading the supervisor to conclude the sector has only itself to blame. Aaron Woolner reports
Rates squared
Vladimir Piterbarg introduces a conveniently parameterised class of multi-factor quadratic Gaussian models, develops calibration formulas and explains the advantages of this class of models over alternatives currently available for the pricing and risk…
Joining the SABR and Libor models together
Fabio Mercurio and Massimo Morini propose a Libor market model consistent with SABR dynamics and develop approximations that allow for the use of the SABR formula with modified inputs. They verify that the approximations are acceptably precise, imply…
Delta and vega hedging in the SABR and LMM-SABR models
Riccardo Rebonato, Andrey Pogudin and Richard White examine the hedging performance of the SABR and LMM-SABR models using real market data. As a by-product, they gain indirect evidence about how well specified the two models are. The results are…
Feeling deflated
The consensus is that interest rates are headed for zero in 2009, with even the long end of the curve looking depressingly flat. William Rhode looks at how structured products are likely to function in such an environment - from both an issuer and…
Rates squared
Vladimir Piterbarg introduces a conveniently parameterised class of multi-factor quadratic Gaussian models, develops calibration formulas, and explains the advantages of this class of models over alternatives currently available for pricing and risk…
Juggling snowballs
Previous work on the valuation of cancellable snowball swaps in the Libor market model suggested the use of nested Monte Carlo simulations was needed to obtain accurate prices. Here, Christopher Beveridge and Mark Joshi introduce new techniques that…
Delta and vega hedging in the SABR and LMM-SABR models
Riccardo Rebonato, Andrey Pogudin and Richard White examine the hedging performance of the SABR and LMM-SABR models using real market data. As a by-product, they gain indirect evidence about how well specified the two models are. The results are…
Topsy curvy
Hawkish remarks by the central bank governor and a rethink in the way inflation is calculated created a rocky trading environment in South African rates earlier this year, catching virtually everybody in the market by surprise. By Mark Pengelly
Combining the SABR and LMM models
Pierre Henry-Labordere analyses a stochastic volatility Libor market model that combines the SABR and Brace-Gatarek-Musiela (BGM) models in a natural way. Using an innovative geometrical method, he explains how to obtain analytical formulas for swaption…
The rates escape
A sudden inversion of the euro interest rate curve in June caught dealers and investors by surprise, causing losses for those that had put on curve steepener trades. Dealers rushed to hedge their short gamma positions, forcing the curve to invert further…
Valuing Tips bond futures with the Jarrow-Yildirim model
Hongming Huang and Yildiray Yildirim apply the Jarrow-Yildirim model to derive a closed-form solution for Treasury inflation-protected securities (Tips) futures. With the issuance of inflation-protected bonds and the impact of inflation on financial…
A bridge between mortgage TBA options and swaptions
Shijun Liu provides basis-point volatility option pricing formulas for swaptions and mortgage to-be-announced options that make direct comparison of volatilities easy and transparent across the two interest rate derivatives markets. Basis-point…
A bridge between mortgage TBA options and swaptions
Shijun Liu provides basis-point volatility option pricing formulas for swaptions and mortgage to-be-announced options that make direct comparison of volatilities easy and transparent across the two interest rate derivatives markets. Basis-point…
Vanilla's the flavour
Rate cuts by the US Federal Reserve have led to a sharp steepening of the yield curve, contributing to falling sales of constant maturity swap steepener products. As dealers push alternatives to fill the void, vanilla products are rising in popularity…
Profiting from divergence
Range accruals have been one of the success stories of the structured interest rate derivatives business, but how did the market hold up during last year's divergence between Libor and base rates? By Peter Madigan
Libor's true colours
Short-term Libor rates have surged, reflecting reluctance by banks to lend to each other in the current market turmoil. This has caused a dislocation in the short end of the curve, and created problems for those using swaps referenced to Libor. Duncan…
Combining the SABR and LMM models
Pierre Henry-Labordere analyses a stochastic volatility Libor market model that combines the SABR and Brace-Gatarek-Musiela (BGM) models in a natural way