![]() Most models popular for pricing single-rate CMS derivatives (see, for example, Brigo & Mercurio, 2001) make simplifying approximations and project all volatility risk on to swaptions on the underlying rate. We develop such a ‘fully implied’ vanilla model in this article. This implicitly involves the volatility and correlations of rates of different tenors, and since there is a developed derivatives market in all these quantities (via caps, swaptions and CMS spread options, for instance), the size of the convexity adjustment can be linked to market-implied volatilities and correlations by a model that is sufficiently rich to capture this information. The model also accounts for the stochastic Libor-overnight indexed swap basis Constant maturity swap (CMS) convexity adjustments are driven by the covariance between the underlying swap rate, its associated annuity and the discount bond of the payment delay. ![]() ![]() Isk.net/asia-risk Cutting edge | Interest rate derivatives Full implications for CMS convexity Simon Cedervall and Vladimir Piterbarg develop a new vanilla model that directly links constant maturity swap (CMS) and payment convexity in general payouts to volatilities of swaptions of all relevant tenors, as well as prices of CMS spread options, while carefully controlling for potential sources of arbitrage.
0 Comments
Leave a Reply.AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |