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processes. A stable calibration prodecure which takes into account a given local correlation structure is presented. The … calibration algorithm is FFT based, so fast and easy to implement. -- Libor modelling ; stochastic volatility ; CIR processes … ; calibration …
Persistent link: https://www.econbiz.de/10003635097
Tests for the existence and the sign of the volatility risk premium are often based on expected option hedging errors. When the hedge is performed under the ideal conditions of continuous trading and correct model specification, the sign of the premium is the same as the sign of the mean hedging...
Persistent link: https://www.econbiz.de/10010263305
In this paper, we introduce an extension to the LIBOR Market model that is suitable to incorporate both sudden market shocks as well as changes in the overall economic climate into the interest rate dynamics. This is achieved by substituting the simple diffusion process of the original LIBOR...
Persistent link: https://www.econbiz.de/10012938239
swaptions, are interpreted as the state variable variations, and no diffusion parameter calibration procedure is required. The … control the model dynamics because parameter calibration is unnecessary and the model parameters can be used solely for the …
Persistent link: https://www.econbiz.de/10012912383
The paper contributes to the stochastic volatility literature by developing simulation schemes for the conditional distributions of the price of long term bonds and their variability based on non-standard distributional assumptions and volatility concepts; itillustrates the potential value of...
Persistent link: https://www.econbiz.de/10014058544
We investigate the relationship between the gas spot market and the price of gas storage capacity. Contrary to the common belief, the auction prices for gas storage are mostly affected by the volatility of current market prices rather than by the winter-summer price differences. This paper...
Persistent link: https://www.econbiz.de/10011333083
We introduce a novel stochastic volatility model where the squared volatility of the asset return follows a Jacobi process. It contains the Heston model as a limit case. We show that the joint density of any finite sequence of log returns admits a Gram-Charlier A expansion with closed-form...
Persistent link: https://www.econbiz.de/10011516036
In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...
Persistent link: https://www.econbiz.de/10011412294
Persistent link: https://www.econbiz.de/10012696809
We develop a comprehensive mathematical framework for polynomial jump-diffusions in a semimartingale context, which nest affine jump-diffusions and have broad applications in finance. We show that the polynomial property is preserved under polynomial transformations and Lévy time change. We...
Persistent link: https://www.econbiz.de/10011874871