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Erschienen in: European Actuarial Journal 1/2013

01.07.2013 | Original Research Paper

Foreign-currency interest-rate swaps in asset–liability management for insurers

verfasst von: Jonas Alm, Filip Lindskog

Erschienen in: European Actuarial Journal | Ausgabe 1/2013

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Abstract

We consider an insurer with purely domestic business whose liabilities towards its policy holders have long durations. The relative shortage of domestic government bonds with long maturities makes the insurer’s net asset value sensitive to fluctuations in the zero rates used for liability valuation. Therefore, in order to increase the duration of the insurer’s assets, it is common practice for insurers to take a position as the fixed-rate receiver in an interest-rate swap. We assume that this is not possible in the domestic currency but in a foreign currency supporting a larger market of interest-rate swaps. Monthly data over 16 years are used as the basis for investigating the risks to the future net asset value of the insurer from using foreign-currency interest-rate swaps as a proxy for domestic ones in asset–liability management. We find that although a suitable position in swaps may reduce the standard deviation of the future net asset value it may significantly increase the exposure to tail risk that has a substantial effect on the estimation of the solvency capital requirements.

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Fußnoten
1
Each year a Swedish life insurer must pay a tax amount equal to 15 % of the government borrowing rate times the estimated value of the liabilities towards its policy holders. The government borrowing rate is a weighted average of market rates during the previous year of government bonds with a maturity of 5 years or more. Setting T = 0.15 in (1) and (2) yields good approximations of the total liabilities (i.e., liabilities towards the policy holders plus liabilities towards the tax enforcement administration) at times 0 and \(\Updelta t, \) respectively.
 
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Metadaten
Titel
Foreign-currency interest-rate swaps in asset–liability management for insurers
verfasst von
Jonas Alm
Filip Lindskog
Publikationsdatum
01.07.2013
Verlag
Springer-Verlag
Erschienen in
European Actuarial Journal / Ausgabe 1/2013
Print ISSN: 2190-9733
Elektronische ISSN: 2190-9741
DOI
https://doi.org/10.1007/s13385-013-0069-5

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