Hedging of variable annuities under basis risk


Bauer, Jan



Document Type: Conference presentation
Year of publication: 2019
Conference title: 87th Annual Meeting of the American Risk and Insurance Association, ARIA 2019
Location of the conference venue: San Francisco, CA
Date of the conference: 04.-07.08.2019
Publication language: English
Institution: Außerfakultäre Einrichtungen > Institut für Versicherungswissenschaft
Business School > ABWL, Risikotheorie, Portfolio Management u. Versicherungswissenschaft (Albrecht 1989-2021)
Subject: 330 Economics
Classification: JEL: G13 , G22 , G32,
Keywords (English): Variable Annuities , Hedging , Basis Risk
Abstract: I study dynamic hedging for variable annuities under basis risk. Basis risk, which arises from the imperfect correlation between the underlying fund and the proxy asset used for hedging, has a highly negative impact on the hedging performance. I investigate whether the choice of a suitable hedging strategy can help to reduce the risk for the insurance company. Comparing several cross-hedging strategies that only trade in the proxy asset, I observe very similar hedging performances. Particularly, I find that well-established but complex strategies from mathematical finance do not outperform simple and naive approaches. Nonetheless, a naive delta-gamma hedge, which additionally uses plain vanilla options on the proxy asset, performs better than all tested one-instrument strategies. A more substantial risk reduction could, however, be achieved by diversification.







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