Abstract
We present a new generic method for constructing correlation parameterizations that are always positive definite, and derive new flexible parametric forms.Furthermore, we use the CMS spread option pricing formula from Kiesel & Lutz to calibrate a stochastic volatility LMM to caplets, swaptions and CMS spread options, and in this way extract the implied correlation information available from the market.We investigate the performance of several correlation parameterizations and compare the implied correlation matrices with the corresponding empirical correlation matrices.
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