Two curves, one price

The financial crisis has multiplied the yield curves used to price plain vanilla interest rate derivatives, making classic single-curve no-arbitrage relations and pricing formulas no longer valid. Marco Bianchetti shows that no-arbitrage can be recovered by taking into account the basis adjustment bootstrapped from market basis swaps, and that generalised no-arbitrage double-curve pricing formulas can be derived for vanillas by using the foreign currency analogy, including a quanto-like adjustment typical of cross-currency derivatives. Both the basis and the quanto adjustments find a simple financial interpretation in terms of counterparty risk

The credit crunch that began in the second half of 2007 has triggered, among many consequences, the explosion of the basis spreads quoted on the market between single-currency interest rate instruments (swaps in particular) characterised by different underlying rate tenors (Xibor three-month and Xibor six-month, etc, where Xibor denotes a generic interbank offered rate). In figure 1, we show a snapshot of the market quotations as of February 16, 2009 for the six basis swap term structures

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 copy this content. Please contact info@risk.net to find out more.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to Risk.net? View our subscription options

Most read articles loading...

You need to sign in to use this feature. If you don’t have a Risk.net account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here