Finite difference schemes with exact recovery of vanilla option prices
A model unifies the classic local vol and binomial trees to accurately price options
CLICK HERE TO VIEW THE PDF
Peter Austing shows how to set up finite difference solvers to exactly recover the prices of all vanilla options on the grid. The approach leads to a specific discretisation of Dupire’s formula. It can be applied to local stochastic volatility and interest rate hybrid models and eliminates many of the convergence and stability issues that arise in the partial differential equation approach to exotics pricing
Finite difference schemes are widely used in quantitative
Only users who have a paid subscription or are part of a corporate subscription are able to print or copy content.
To access these options, along with all other subscription benefits, please contact info@risk.net or view our subscription options here: http://subscriptions.risk.net/subscribe
You are currently unable to print this content. Please contact info@risk.net to find out more.
You are currently unable to copy this content. Please contact info@risk.net to find out more.
Copyright Infopro Digital Limited. All rights reserved.
As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (point 2.4), printing is limited to a single copy.
If you would like to purchase additional rights please email info@risk.net
Copyright Infopro Digital Limited. All rights reserved.
You may share this content using our article tools. As outlined in our terms and conditions, https://www.infopro-digital.com/terms-and-conditions/subscriptions/ (clause 2.4), an Authorised User may only make one copy of the materials for their own personal use. You must also comply with the restrictions in clause 2.5.
If you would like to purchase additional rights please email info@risk.net
More on Banking
Market-making in spot precious metals
A market-making framework is extended to account for metal markets’ liquidity constraints
A comparison of FX fixing methodologies
FX fixing outcomes are mostly driven by length of calculation window
Backtesting correlated quantities
A technique to decorrelate samples and reach higher discriminatory power is presented
CVA sensitivities, hedging and risk
A probabilistic machine learning approach to CVA calculations is proposed
Bridging the gap risk reloaded: modelling wrong-way risk and leverage
A model extends the counterparty risk calculation to include nonlinear and complex portfolios
Weighting for leverage
A credit exposure model for leveraged collateralised counterparties is presented
Rethinking P&L attribution for options
A buy-side perspective on how to decompose the P&L of index options is presented
Volatility shape-shifters: arbitrage-free shaping of implied volatility surfaces
Manipulating implied volatility surfaces using optimal transport theory has several applications
