Technical paper/Libor market model (LMM)
Black basket analytics for mid-curves and spread options
A new solution to calibrate derivatives with multiple strikes is proposed
One-dimensional Markov-functional models driven by a non-Gaussian driver
The aim of this paper is to move away from a Gaussian assumption and to provide new algorithms that can be used to implement a Markov-functional model driven by a more general class of one-dimensional diffusion processes.
The present of futures
Fabio Mercurio introduces a new multi-curve model for pricing futures convexity adjustments
A simple approximation for the no-arbitrage drifts in Libor market model–SABR-family interest-rate models
This paper presents a simple approximation for the noarbitrage drifts that appear in Libor market model SABR-family term structure models.
Numerical valuation of derivatives in high-dimensional settings via partial differential equation expansions
This paper presents a new numerical approach to solving high-dimensional partial differential equations that arise in the valuation of exotic derivative securities. The resulting numerical solutions are carefully compared in terms of accuracy and run…
Fast gammas for Bermudan swaptions
Fast gammas for Bermudan swaptions
Cutting Edge introduction: Accuracy or speed?
Accuracy or speed?
A quadratic volatility Cheyette model
A quadratic volatility Cheyette model
CMS: covering all bases
CMS: covering all bases
A Libor market model with a stochastic basis
A Libor market model with a stochastic basis
Valuation of with-profit insurance policies with interest rate guarantees
Classical with-profit life insurance products are traditionally backed by a buy-and-hold bond investment strategy. Using book-value accounting for such products tends to lead to a design of the guarantee rate based on an average of long-term interest…
Smooth calibration of Markov functional models for pricing exotic interest rate derivatives
The Libor market model is widely used but often criticised for its slowness. Nick Denson and Mark Joshi develop an accurate and stable calibration procedure that allows for the effective use of a control variate
A market model on the iTraxx
A market model for the dynamics of credit-risky baskets and indexes such as the iTraxx has long been sought, but because of difficulties with the natural numéraire has remained elusive. Here, Philippe Carpentier proposes using hedging arguments to…
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…
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…
A time-homogeneous, SABR-consistent extension of the LMM
Riccardo Rebonato proposes an extension of the Libor market model (LMM) that recovers the stochastic, alpha, beta, rho (SABR) caplet prices almost exactly for all strikes and maturities. The dynamics of the volatility are chosen so as to be consistent…
A time-homogeneous, SABR-consistent extension of the LMM
Riccardo Rebonato proposes an extension of the Libor market model (LMM) that recovers the SABR caplet prices almost exactly for all strikes and maturities. The dynamics of the volatility are chosen so as to be consistent across expiries, to be…