Algebraic solution of the Stein–Stein model for stochastic volatility
✍ Scribed by C. Sophocleous; J.G. O’Hara; P.G.L. Leach
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 220 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
✦ Synopsis
We provide an algebraic approach to the solution of the Stein-Stein model for stochastic volatility which arises in the determination of the Radon-Nikodym density of the minimal entropy of the martingale measure. We extend our investigation to the case in which the parameters of the model are time-dependent. Our algorithmic approach obviates the need for Ansätze for the structure of the solution.
📜 SIMILAR VOLUMES
We analyse a hierarchical Bayes model which is related to the usual empirical Bayes formulation of James-Stein estimators. We consider running a Gibbs sampler on this model. Using previous results about convergence rates of Markov chains, we provide rigorous, numerical, reasonable bounds on the runn
Angular momentum projected mean field theory is used to derive analytic expressions for various matrix elements in the vibron model for diatomic molecules. The results are applied in a search for a realistic description of rotation-vibration spectra in the vibron model.