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Return distributions of equity-linked retirement plans

  • Nils Detering
  • Andreas Weber
  • Uwe Wystup
Chapter

Abstract

In the recent years an increasing demand for capital guaranteed equity-linked life insurance products and retirement plans has emerged. In Germany, a retirement plan, called Riester-Rente, is supported by the state with cash payments and tax benefits. Those retirement plans have to preserve the invested capital. The company offering a Riester-Rente has to ensure that at the end of the saving period at least all cash inflows are available. Due to the investors demand for high returns, banks and insurance companies are not only offering saving plans investing in riskless bonds but also in products with a high equity proportion. For companies offering an equity-linked Riester-Rente the guarantee to pay out at least the invested capital is a big challenge. Due to the long maturities of the contracts of more than 30 years it is not possible to just buy a protective put. Many different concepts are used by banks and insurance companies to generate this guarantee or to reduce the remaining risk for the company. They vary from simple Stop Loss strategies to complex dynamic hedging strategies. In our work we analyze the return distribution generated by some of these strategies.

Keywords

Risky Asset Return Distribution Cash Payment Retirement Plan Leverage Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. Black, F. and Scholes, M. (1973). The pricing of Options and Corporate Liabilities, Journal of Political Economy 81 (3): 637-654.CrossRefGoogle Scholar
  2. Black, F. and Perold, A.R. (1992). Theory of constant proportion portfolio insurance, Journal of Economic Dynamics and Control 16 : 403–426.CrossRefMATHGoogle Scholar
  3. Detering, N., Weber, A. and Wystup, U. (2009). Riesterrente im Vergleich - Eine Simulationsstudie zur Verteilung der Rendite im Auftrag von Euro-Magazin, MathFinance Research Paper.Google Scholar
  4. Hardy, M. (2003). Investment Guarantees: Modelling and Risk Management for Equity-Linked Life Insurance, Wiley Finance.Google Scholar
  5. Kou, S.G. (2002). A Jump-Diffusion-Model for option pricing, Management Science 48 (8): 1086–1101.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Nils Detering
    • 1
  • Andreas Weber
    • 1
  • Uwe Wystup
    • 1
  1. 1.MathFinance AGWaldemsGermany

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