Showing 1 - 10 of 48,591
The main purpose of the paper is to provide a mathematical background for the theory of bond markets similar to that available for stock markets. We suggest two constructions of stochastic integrals with respect to processes taking values in a space of continuous functions. Such integrals are...
Persistent link: https://www.econbiz.de/10005207189
We investigate the term structure for the case when interest rates are allowed to be driven by a general marked point process as well as by a Wiener process. Developing a theory which allows for measure-valued trading portfolios we study existence and uniqueness of a martingale measure, as well...
Persistent link: https://www.econbiz.de/10005649381
covered include: Bond markets, interest rates, arbitrage, martingale measures, completeness, short rate models, affine term …, minimization of arbitrage information. …
Persistent link: https://www.econbiz.de/10005651503
We compare short rate diffusion models with respect to their implications for term structure movements, the plausiblity of which serves us as a criterion for evaluating the models. Analytically for Gauss-Markov models and numerically for a broader collection of models prevalent in the...
Persistent link: https://www.econbiz.de/10004968248
Starting with observable annually compounded forward rates we derive a term structure model of interest rates. The model relies upon the assumption that a specific set of annually compounded forward rates is log-normally distributed. We derive solutions for interest rate caps and floors as well...
Persistent link: https://www.econbiz.de/10004968277
We apply Geometric Arbitrage Theory to obtain results in mathematical finance for credit markets, which do not need … dynamics for credit market allowing for arbitrage possibilities. Moreover, arbitrage credit bubbles for both base credit assets … and credit derivatives are explicitly computed for the market dynamics minimizing the arbitrage …
Persistent link: https://www.econbiz.de/10012904838
arbitrage opportunities is illustrated. The approach seeks to hedge the volatility risk, or vega, as opposed to the exposure … from the underlying equity itself, or delta. The results question the efficacy of the common arbitrage strategy of only …
Persistent link: https://www.econbiz.de/10011619118
straightforward derivation of the no-arbitrage dynamics of forward rates and forward credit spreads. The model can be calibrated to …
Persistent link: https://www.econbiz.de/10011539796
This study calibrates the term structure of risk premia before and during the 2007/2008 financial crisis using a new calibration approach based on credit default swaps. The risk premium term structure was flat before the crisis and downward sloping during the crisis. The instantaneous risk...
Persistent link: https://www.econbiz.de/10003971282
We present a new framework for the joint estimation of the default-free government term structure and corporate credit spread curves. By using a data set of liquid, German mark denominated bonds, we show that this yields more realistic spreads than traditionally obtained spread curves that...
Persistent link: https://www.econbiz.de/10011301164