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In this paper we propose a Libor model with a high-dimensional specially structured system of driving CIR volatility … calibration algorithm is FFT based, so fast and easy to implement. -- Libor modelling ; stochastic volatility ; CIR processes …
Persistent link: https://www.econbiz.de/10003635097
.We address the problem of the consistency of the Black-Scholes model with the volatility surface and we show that, under general … conditions, the Black-Scholes formula cannot be generalized to account for the volatility smile …
Persistent link: https://www.econbiz.de/10012852111
This paper proposes a term structure model with macro VAR in a stochastic volatility setting. The specific feature of … macroeconomic research: the DSGE-VAR with stochastic volatility and the macro-finance model of term structure. The baseline model … yields; 2) volatility is a curvature factor of the yield curve, and the net effect of the time-varying variance …
Persistent link: https://www.econbiz.de/10013142186
We show how to set up a forward rate model in the presence of volatility uncertainty by using the theory of G …
Persistent link: https://www.econbiz.de/10012009895
option under jump-diffusion, stochastic interest rate and local volatility. The corresponding forward Kolmogorov partial …
Persistent link: https://www.econbiz.de/10013105743
nonlinearity and asymmetry in the drift, and incorporates the level effect and stochastic volatility in the diffusion function is … asymmetric drift of the short rate, and the presence of nonlinearity, GARCH, and level effects in its volatility. The empirical … volatility of interest rate changes …
Persistent link: https://www.econbiz.de/10013158076
volatility-induced stationarity. Our model employs a level-dependent conditional volatility that maintains stationarity despite …
Persistent link: https://www.econbiz.de/10012897091
The credit valuation adjustment (CVA) of OTC derivatives is an important part of the Basel III credit risk capital requirements and current accounting rules. Its calculation is not an easy task - not only it is necessary to model the future value of the derivative, but also the probability of...
Persistent link: https://www.econbiz.de/10010358352
We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel computation of the price of long-dated foreign exchange...
Persistent link: https://www.econbiz.de/10013150451
We propose a new derivation of the Heath–Jarrow–Morton risk-neutral drift restriction that takes into account nonzero instantaneous correlations between factors. The result allows avoiding the orthogonalization of factors and provides an approach by which interest rate derivatives can be...
Persistent link: https://www.econbiz.de/10013079559