Options valuation and calibration for leveraged exchange-traded funds with Heston–Nandi and inverse Gaussian GARCH models

Author:

Cao Hongkai1,Chatterjee Rupak2,Cui Zhenyu3

Affiliation:

1. School of Business, Stevens Institute of Technology, Hoboken, NJ 07030, United States

2. Department of Physics and Center for Quantum Science and Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, United States

3. School of Business and Center for Quantum Science and Engineering, Stevens Institute of Technology, Hoboken, NJ 07030, United States

Abstract

Leveraged exchange-traded funds (LETF) are newly introduced ETFs that have become increasingly popular. It closely tracks the value of an underlying index while allowing for additional leverage. In this paper, we consider the valuation of options written on LETF under two popular affine GARCH models, the Heston–Nandi model and the inverse Gaussian GARCH model. We also calibrate the two models using market data, and demonstrate the superior pricing performance.

Publisher

World Scientific Pub Co Pte Lt

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