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Understanding Credit Derivatives offers a comprehensive introduction to the credit derivatives market. Rather than presenting a highly technical exploration of the subject, it offers intuitive and rigorous summaries of the major subjects and the principal perspectives associated with them. The centerpiece is pricing and valuation issues, especially discussions of different valuation tools and their use in credit models. * Offers a broad overview of this growing field * Discusses all the main types of credit derivatives * Provides back-of-the-book summary of statistics and fixed-income mathematics.
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This paper develops a model for the pricing of credit derivatives using observables. The model (i) is arbitrage-free, (ii) accommodates path-dependence, and (iii) handles a range of securities, even with American features. The computer implementation uses a recursive scheme that is convenient and seamlessly processes forward induction and backward recursion, needed to compute more complicated derivative securities.
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We propose a nonparametric estimation procedure for continuous- time stochastic models. Because prices of derivative securities depend crucially on the form of the instantaneous volatility of the underlying process, we leave the volatility function unrestricted and estimate it nonparametrically. Only discrete data are used but the estimation procedure still does not rely on replacing the continuous- time model by some discrete approximation. Instead the drift and volatility functions are forced to match the densities of the process. We estimate the stochastic differential equation followed by the short term interest rate and compute nonparametric prices for bonds and bond options.
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