DYNAMIC HEDGING OF LONGEVITY RISK: THE EFFECT OF TRADING FREQUENCY
Hong Li ()
ASTIN Bulletin, 2018, vol. 48, issue 1, 197-232
Abstract:
This paper investigates dynamic hedging strategies for pension and annuity liabilities that are exposed to longevity risk. In particular, we consider a hedger who wishes to minimize the variance of her hedging error using index-based longevity-linked derivatives. To cope with the fact that liquidity of longevity-linked derivatives is still limited, we consider a liquidity constrained case where the hedger can only trade longevity-linked derivatives at a frequency lower than other assets. Time-consistent, closed-form solutions of optimal hedging strategies are obtained under a forward mortality framework. In the numerical illustration, we show that lowering the trading of the longevity-linked derivatives to a 2-year frequency only leads to a slight loss of the hedging performance. Moreover, even when the longevity-linked derivatives are traded at a very low (5-year) frequency, dynamic hedging strategies still significantly outperform the static one.
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:cup:astinb:v:48:y:2018:i:01:p:197-232_00
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