CMS: covering all bases

- Simon Cedervall and Vladimir Piterbarg
- 28 Feb 2012

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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. 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

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