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Quadratic Hedging in a Non-causal AR(1) Model

Title:

Quadratic Hedging in a Non-causal AR(1) Model

Danquah, Caleb Kwame ORCID: https://orcid.org/0000-0002-9514-3578 (2023) Quadratic Hedging in a Non-causal AR(1) Model. Masters thesis, Concordia University.

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Abstract

This thesis explores hedging strategies for European-type derivatives under the non-causal AR(1) Cauchy model. Recently, such non-causal models have raised much attention in the finance literature due to their ability to replicate bubbles often observed in the cryptocurrency market, as well as their tractability for pricing standard European options. However, these discrete-time models are incomplete, meaning that it is impossible to perfectly replicate a derivative's payoff in such a market. This thesis explores the use of quadratic hedging approaches to manage the risk of a derivative trader.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Danquah, Caleb Kwame
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:December 2023
Thesis Supervisor(s):Gaillardetz, Patrice and Lu, Yang
ID Code:993266
Deposited By: Caleb Danquah
Deposited On:05 Jun 2024 16:26
Last Modified:05 Jun 2024 16:26
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