Skip to main content

Return distributions of equity-linked retirement plans

  • Chapter
  • First Online:
Statistical Tools for Finance and Insurance

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Black, F. and Scholes, M. (1973). The pricing of Options and Corporate Liabilities, Journal of Political Economy 81 (3): 637-654.

    Article  Google Scholar 

  • Black, F. and Perold, A.R. (1992). Theory of constant proportion portfolio insurance, Journal of Economic Dynamics and Control 16 : 403–426.

    Article  MATH  Google Scholar 

  • 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 

  • Hardy, M. (2003). Investment Guarantees: Modelling and Risk Management for Equity-Linked Life Insurance, Wiley Finance.

    Google Scholar 

  • Kou, S.G. (2002). A Jump-Diffusion-Model for option pricing, Management Science 48 (8): 1086–1101.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Detering, N., Weber, A., Wystup, U. (2011). Return distributions of equity-linked retirement plans. In: Cizek, P., Härdle, W., Weron, R. (eds) Statistical Tools for Finance and Insurance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18062-0_13

Download citation

Publish with us

Policies and ethics