On pricing variance swaps in discretely-sampled with High Volatility model

Year 2021, Volume: 4 Issue: 2, 105 - 115, 30.06.2021

Youssef El-khatib Mariam Alshamsi Jun Fan

https://doi.org/10.53006/rna.908113

Abstract

In this paper, the valuation of discretely sampled variance swaps is investigated in a financial asset price model with an increase in volatility. More precisely, we consider a
stochastic differential equation model with an additional parameter that augments
volatility. This is to cover the impact of financial crunches on the prices of a given asset.
Under these settings, the calculation of the annualized delivery price of a variance swap is not
sure in a closed-form. Following the literature, the delivery price can be written as a finite sum of conditional expectations. We focus our attention on the computations
of these expectations and we obtain some interesting results. This leads to a semi-
analytical solution to the variance swaps pricing problems. Some illustrations showing
the goodness of our model are provided.

Keywords

Stochastic Dierential Equations, discretely-sampled variance swaps, high volatility model

Supporting Institution

United Arab Emirates University

Project Number

UPAR Grant No.31S369.

Thanks

The authors would like to express their sincere appreciation to the United Arab Emirates University Research Office for the financial support UPAR Grant No.31S369.

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