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Hedging long-dated interest rate derivatives for Australian pension funds and life insurers

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Abstract

Many pension funds and life insurers seek to hedge their exposure to low interest rates using long-dated interest rate derivatives. This paper extends an approach of Platen and Heath 2006 to price and hedge long-dated interest rate derivatives using a combination of Australian cash, bonds and equities and under a variety of market models. The results show the models under which the lowest cost hedge is achieved.

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  • Kevin Fergusson & Eckhard Platen, 2014. "Hedging long-dated interest rate derivatives for Australian pension funds and life insurers," Published Paper Series 2014-7, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    • Handle: RePEc:uts:ppaper:2014-7
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    File URL: https://actuaries.asn.au/library/ajap/2014/ajapvolume1.pdf
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    References listed on IDEAS

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    1. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    2. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
    3. Nicola Bruti-Liberati, 2007. "Numerical Solution of Stochastic Differential Equations with Jumps in Finance," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2007.
    4. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    5. Platen, Eckhard, 2000. "A minimal financial market model," SFB 373 Discussion Papers 2000,91, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    6. Nicola Bruti-Liberati, 2007. "Numerical Solution of Stochastic Differential Equations with Jumps in Finance," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1, July-Dece.
    7. Jamshidian, Farshid, 1989. " An Exact Bond Option Formula," Journal of Finance, American Finance Association, vol. 44(1), pages 205-209, March.
    8. Eckhard Platen, 2006. "On the Pricing and Hedging of Long Dated Zero Coupon Bonds," Research Paper Series 185, Quantitative Finance Research Centre, University of Technology, Sydney.
    9. Ahn, Dong-Hyun & Gao, Bin, 1999. "A Parametric Nonlinear Model of Term Structure Dynamics," Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 721-762.
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    Cited by:

    1. Eckhard Platen & David Taylor, 2016. "Loading Pricing of Catastrophe Bonds and Other Long-Dated, Insurance-Type Contracts," Papers 1610.09875, arXiv.org.
    2. Kevin Fergusson & Eckhard Platen, 2015. "Less Expensive Pricing and Hedging of Long-Dated Equity Index Options When Interest Rates are Stochastic," Research Paper Series 357, Quantitative Finance Research Centre, University of Technology, Sydney.
    3. Giovanni Barone Adesi & Eckhard Platen & Carlo Sala, 2020. "On Using Equities to Produce Pension Payouts," Research Paper Series 413, Quantitative Finance Research Centre, University of Technology, Sydney.
    4. Kevin John Fergusson, 2018. "Less-Expensive Pricing and Hedging of Extreme-Maturity Interest Rate Derivatives and Equity Index Options Under the Real-World Measure," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 3-2018.

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