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Liability-driven investments of life insurers under investment credit risk

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Abstract

In this paper, we present a model of liability-driven investments for life insurers by assuming that equity portfolios can be wiped out by catastrophic default risk of the firms whose stock the life insurer holds. A model of trinomial defaultable asset trees is used and it is calibrated to market data, while a stochastic programming model is set up to solve for the optimal asset allocation strategy of the life insurer to ensure maximization of assets while keeping solvency at a specific confidence level. We find relatively invariant allocations with changes to default correlation, while we find that previous models without taking credit risk explicitly into account require very high volatility parameters to reproduce allocations similar to those of the model with credit risk.

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Notes

  1. https://stats.oecd.org/Index.aspx?DataSetCode=INSIND.

  2. https://www.reuters.com/article/fitch-liquidity-and-asset-risk-rising-fo-idUSFit5DYFBW.

  3. https://www.naic.org/capital_markets_archive/180411.htm.

References

  • Bandreddi, S., S. Das, and R. Fan. 2007. Correlated Default Modelling with a Forest of Binomial Trees. Journal of Fixed Income 17: 38–56.

    Article  Google Scholar 

  • Bogentoft, E., E. Romeijn, and S. Uryasev. 2001. Asset/Liability Management for Pension Funds Using CVaR Constraints. The Journal of Risk Finance 3 (1): 57–71.

    Article  Google Scholar 

  • Bradley, S.P., and D.B. Crane. 1972. A Dynamic Model for Bond Portfolio Management Stephen P. Bradley. Management Science 19: 139–151.

    Article  Google Scholar 

  • Carayannopoulos, P., and M. Kalimipalli. 2003. Convertible Bonds and Pricing Biases. Journal of Fixed Income 13: 64–73.

    Article  Google Scholar 

  • Das, S., and R. Sundaram. 2007. An Integrated Model for Hybrid Securities. Management Science 53 (9): 1439–1451.

    Article  Google Scholar 

  • Gerstner, T., M. Griebel, and M. Holtz. 2009. Efficient Deterministic Numerical Simulation of Stochastic Asset-Liability Management Models in Life Insurance. Insurance: Mathematics and Economics 44: 434–446.

    Google Scholar 

  • Golub, B., M. Holmer, R. McKendall, L. Pohlman, and S. Zenios. 1994. Stochastic Programming Models for Money Management. European Journal of Operational Research 85: 282–296.

    Article  Google Scholar 

  • Huerlimann, W. 2009. On the Optimal SST Initial Capital of a Life Contract (Unpublished)

  • Jobst, N., G. Mitra, and S. Zenios. 2006. Integrating Market and Credit Risk: A Simulation and Optimisation Perspective. Journal of Banking and Finance 30: 717–742.

    Article  Google Scholar 

  • Kusy, M.I., and W.T. Ziemba. 1986. A Bank Asset and Liability Management Model. Operations Research 34: 356–376.

    Article  Google Scholar 

  • McMenamin, R., A. Paulson, T. Plestis, and R.J. Rosen. 2013. What Do U.S. Life Insurers Invest in? Chicago Fed Letter No. 309.

  • Mulvey, J., and S. Zenios. 1994. Capturing the Correlations of Fixed-Income Instruments. Management Science 40: 1329–1342.

    Article  Google Scholar 

  • Pflug, G., and A. Swietanowski. 1998. Selected Parallel Optimization Methods for Financial Management Under Uncertainty. Parallel Computing 26: 3–25.

    Article  Google Scholar 

  • Rockafellar, T., and S. Uryasev. 2000. Optimization of Conditional Value-at-Risk. Journal of Risk 2: 21–42.

    Article  Google Scholar 

  • Taleb, N.N. 2012. Antifragile: Things That Gain from Disorder. Random House.

  • Vassalou, M., and Y. Xing. 2004. Default Risk in Equity Returns. Journal of Finance 59: 831–868.

    Article  Google Scholar 

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  1. Financial Stability Department, Bermuda Monetary Authority, 43 Victoria Street, Hamilton, Bermuda

    Nick Georgiopoulos

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  1. Nick Georgiopoulos
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Correspondence to Nick Georgiopoulos.

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Georgiopoulos, N. Liability-driven investments of life insurers under investment credit risk. Risk Manag 22, 83–107 (2020). https://doi.org/10.1057/s41283-019-00055-x

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