Cross-hedging minimum return guarantees: Basis and liquidity risks

Stefan Ankirchner, Judith C. Schneider*, Nikolaus Schweizer

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

We reveal pitfalls in the hedging of insurance contracts with a minimum return guarantee on the underlying investment, e.g. an external mutual fund. We analyze basis risk entailed by hedging the guarantee with a dynamic portfolio of proxy assets for the funds. We also take account of liquidity risk which arises since the insurer may need to advance funds for performing the hedge. Based on a least-squares Monte Carlo simulation, we study the economic implications of basis and liquidity risks. We demonstrate that both risks may be surprisingly high and show how the design of the contract and the hedging strategy may help to alleviate them. (C) 2014 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)93-109
JournalJournal of Economic Dynamics and Control
Volume41
DOIs
Publication statusPublished - Apr 2014
Externally publishedYes

Keywords

  • Basis risk
  • Least-squares Monte Carlo
  • Liquidity risk
  • Periodic premia
  • Variable annuities

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