Implied volatility
Smiling hybrids
Vladimir Piterbarg develops a multi-currency model with foreign exchange skew suitable for valuation and risk management of forex-linked hybrids, in particular power-reverse dual-currency (PRDC) swaps. The emphasis of the article is on model calibration…
An arbitrage-free interpolation of volatilities
Nabil Kahalé describes a new construction of an implied volatilities surface from a discrete set of implied volatilities that is arbitrage-free and satisfies some smoothness conditions. His method provides an excellent fit to the smile of the local…
Practical relative-value volatility trading
The rapid growth of fixed-income hedge funds has resulted in increased interest in identifying relative-value trade opportunities. Here, the author presents a consistent framework for finding value within interest rate options markets.
Index volatility surface via moment-matching techniques
Peter Lee, Limin Wang and Abdelkerim Karim present a basket construction technique using Gram-Charlier-Edgeworth expansions. They show how to express basket option skews and smiles in terms of its underlying components, and demonstrate how market…
Profiting from gas prices
Natural Gas
Reconstructing volatility
Options on stock baskets have become a mainstay of the equity derivatives business, but pricing and hedging of such products is highly sensitive to implied volatility and correlation assumptions. Here, Marco Avellaneda, Dash Boyer-Olson, Jérôme Busca and…
Reconstructing volatility
Equity derivatives
Mean-reverting smiles
Commodity markets such as crude oil exhibit mean reversion as well as option smiles. David Beaglehole and Alain Chebanier meet this challenge, constructing a model suitable for pricing exotic options in these markets
Pricing default baskets
Nicholas Dunbar, Risk’s technical editor, introduces the first in a new series of technical papers written by quants at Deutsche Bank.“Default correlation has been one of the hottest topics in credit derivatives over the past year. So it is a pleasure to…
Crises and volatility
Stress testing
The taming of the skew
Implied volatility
A mixed-up smile
Implied volatility
Swaptions with a smile
Masterclass – with JP Morgan
The tree of knowledge
Options
Rates of skew
Interest rate models
If the skew fits
Volatility
Regimes of volatility
Options markets
Pricing with a smile
Bruno Dupire shows how the Black-Scholes model can be extended tomake it compatible with observed market volatility smiles, allowingconsistent pricing and hedging of exotic options