Stochastic Volatility Model with Time-dependent Skew
Author:
Vladimir V. Piterbarg a
| Affiliation: | a Bank of America, 5 Canada Square, London, E14 5AQ, UK |
DOI:
10.1080/1350486042000297225
Publication Frequency:
6 issues per year
Number of References: 7
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Abstract
A formula is derived for the 'effective' skew in a stochastic volatility model with a time-dependent local volatility function. The formula relates the total amount of skew generated by the model over a given time period to the time-dependent slope of the instantaneous local volatility function. A new 'effective' volatility approximation is also derived. The utility of the formulas is demonstrated by building a forward Libor model that can be calibrated to swaption smiles that vary across the swaption grid.
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| Keywords: Stochastic volatility; volatility smile; time-dependent local volatility; effective volatility; effective skew; average skew; homogenization; averaging principle; effective media; forward Libor model; Libor market model; LMM; BGM; volatility calibration; skew calibration |
| view references (7) : view citations |

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