Abstract
In this paper we derive a market value for with-profits guaranteed annuity options (GAOs) using martingale modelling techniques. Furthermore, we show how to construct a static replicating portfolio of vanilla interest rate swaptions that replicates the with-profits GAO. Finally, we illustrate with historical UK interest rate data from the period 1980 to 2000 that the static replicating portfolio would have been extremely effective as a hedge against the interest rate risk involved in the GAO, that the static replicating portfolio would have been considerably cheaper than up-front reserving and also that the replicating portfolio would have provided a much better level of protection than an up-front reserve. (C) 2003 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 283-296 |
Number of pages | 14 |
Journal | Insurance: Mathematics and Economics |
Volume | 33 |
Issue number | 2 |
DOIs | |
Publication status | Published - 20 Oct 2003 |
Externally published | Yes |
Event | 6th IME Conference - Lisbon, Portugal Duration: 15 Jul 2002 → 17 Jul 2002 |
Keywords
- static option replication
- guaranteed annuity options
- hedging methodology
- LIFE-INSURANCE LIABILITIES
- TERM STRUCTURE
- INTEREST-RATES
- VALUATION
- DERIVATIVES
- CONTRACTS
- FRAMEWORK
- POLICIES