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correlation between the underlying assets and are usually priced assuming constant instantaneous correlations.This article … considers a multi-asset model based on Wishart processes that accounts for stochastic volatility and for stochastic correlations … depends crucially on the term structure of the correlation corresponding to the assets returns. Furthermore, the comparison of …
Persistent link: https://www.econbiz.de/10013048541
We price derivatives defined for different asset classes with a full stochastic dependence structure. We consider jointly geometric Brownian motions and mean-reversion processes with a a stochastic variance-covariance matrix driven by a Wishart process. These models cannot be treated within the...
Persistent link: https://www.econbiz.de/10013063402
This article considers a multi-asset model based on Wishart processes that accounts for stochastic volatility and for … existence of correlation term structure and correlation skew. The article shows that the Wishart specification can generate … different patterns corresponding to the correlation skew for a wide range of correlation term structures.Another advantage of …
Persistent link: https://www.econbiz.de/10013091068
We study whether prices of traded options contain information about future extreme market events. Our option-implied conditional expectation of market loss due to tail events, or tail loss measure, predicts future market returns, magnitude, and probability of the market crashes, beyond and above...
Persistent link: https://www.econbiz.de/10010226098
smiles and correlation smiles. At first sight, the task seems formidable. However, by reformulating the problem, we can …
Persistent link: https://www.econbiz.de/10013297391
volatility and its curve resembles a smile, meaning that the introduction of jumps is quantified via a smile according to implied … volatility. In order to derive such an implied volatility smile, an iterative search procedure referred to as the Newton …-Raphson algorithm is proposed. Numerical experiments of both the in-house pricing formula and its implied volatility recursive algorithm …
Persistent link: https://www.econbiz.de/10013118115
The stochastic alpha beta rho (SABR) model introduced by Hagan et al. (2002) is widely used in both fixed income and the foreign exchange (FX) markets. Continuously monitored barrier option contracts are among the most popular derivative contracts in the FX markets. In this paper, we develop...
Persistent link: https://www.econbiz.de/10012900406
, these expansions are not quite suitable for volatility or variance densities as they inherently assign positive mass to the …
Persistent link: https://www.econbiz.de/10012934607
along with the specification of (a) the initial density, and (b) the volatility structure of the density. The volatility …
Persistent link: https://www.econbiz.de/10008797695
volatility models. Our method is based on a novel application of the exponential measure change in Palmowski & Rolski (2002 … stochastic volatility models with non-zero correlations, namely the Heston (1993), 3/2, and a special case of the α …-Hypergeometric stochastic volatility models recently proposed by Da Fonseca & Martini (2016). Then, we combine our method with a stochastic time …
Persistent link: https://www.econbiz.de/10012941953