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The Libor Market Model (LMM) describes the evolution of a yield curve through equations for a discrete set of forward rates. In the original version, the rate dynamic was log-normal. The rate dynamic has been extended. The main result presented here is a generic approximation that provides an...
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We propose a term structure function, a two-factor variance process and a return process to jointly price SPX and VIX derivatives. The distinctive feature of the variance model is that the factor coefficients are time-varying and they are bonded with the term structure of variance swaps. The...
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-Scholes result. We show that a swaption pricing formula is nothing more than the Black-76 formula scaled by the underlying swap … discuss how to evaluate and price an interest swap, which is the swaption underlying instrument. We proceed to examine how to … calculation. Finally applying the Radon-Nikodym derivative to change measure from the annuity measure to the savings account …
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the prices of defaultable coupon bonds, asset swap rates and default swap rates for which closed-form solutions are given … formula for options on default swaps is made exact in a modified modelling framework using an analogy to the swap measure, the … default swap measure. …
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