Semiclassical Pricing of Variance Swaps in the CEV Model

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Authors

ARANEDA Axel A. VILLENA Marcelo J.

Year of publication 2022
Type Article in Proceedings
Conference Mathematical and Statistical Methods for Actuarial Sciences and Finance.
MU Faculty or unit

Faculty of Economics and Administration

Citation
Web https://link.springer.com/chapter/10.1007/978-3-030-99638-3_5
Doi http://dx.doi.org/10.1007/978-3-030-99638-3_5
Keywords Path Integral; CEV model; Variance swap
Description Path integrals are a well-known tool in quantum mechanics and statistical physics. They could be used to derive the propagator or kernel of stochastic processes, analogous to solving the Fokker-Planck equation. In finance, they become an alternative tool to address the valuation of derivatives. Here, taking advantage of the hedging formula of the realized variance by means of the log contract, we use path integrals for the pricing of variance swaps under the Constant Elasticity of Variance (CEV) model, approximating analytically the propagator for the log contract by semiclassical arguments. Our results demonstrate that the semiclassical method provides an alternative and efficient computation which shows a high level of accuracy but at the same time lower execution times.
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