Managing Contribution and Capital Market Risk in a Funded Public Defined Benefit Plan: Impact of Cvar Cost Constraints

34 Pages Posted: 15 Sep 2008 Last revised: 31 Aug 2022

See all articles by Raimond Maurer

Raimond Maurer

Goethe University Frankfurt - Finance Department

Olivia S. Mitchell

University of Pennsylvania - The Wharton School; University of Pennsylvania - The Wharton School, Pension Research Council; National Bureau of Economic Research (NBER)

Ralph Rogalla

Goethe University Frankfurt - Department of Finance; St. John's University - Tobin College of Business - School of Risk Management, Insurance, and Actuarial Science

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Date Written: September 2008

Abstract

Using a Monte Carlo framework, we analyze the risks and rewards of moving from an unfunded defined benefit pension system to a funded plan for German civil servants, allowing for alternative strategic contribution and investment patterns. In the process we integrate a Conditional Value at Risk (CVaR) restriction on overall plan costs into the pension manager's objective of controlling contribution rate volatility. After estimating the contribution rate that would fully fund future benefit promises for current and prospective employees, we identify the optimal contribution and investment strategy that minimizes contribution rate volatility while restricting worst-case plan costs. Finally, we analyze the time path of expected and worst-case contribution rates to assess the chances of reduced contribution rates for current and future generations. Our results show that moving toward a funded public pension system can be beneficial for both civil servants and taxpayers.

Suggested Citation

Maurer, Raimond and Mitchell, Olivia S. and Rogalla, Ralph and Rogalla, Ralph, Managing Contribution and Capital Market Risk in a Funded Public Defined Benefit Plan: Impact of Cvar Cost Constraints (September 2008). NBER Working Paper No. w14332, Available at SSRN: https://ssrn.com/abstract=1267563

Raimond Maurer

Goethe University Frankfurt - Finance Department ( email )

Theodor-W.-Adorno-Platz 3
House of Finance
Frankfurt, 60323
Germany

Olivia S. Mitchell (Contact Author)

University of Pennsylvania - The Wharton School ( email )

Philadelphia, PA 19104-6365
United States

University of Pennsylvania - The Wharton School, Pension Research Council ( email )

3302 Steinberg Hall-Dietrich Hall
3620 Locust Walk
Philadelphia, PA 19104-6302
United States

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

Ralph Rogalla

St. John's University - Tobin College of Business - School of Risk Management, Insurance, and Actuarial Science ( email )

101 Astor Place
New York, NY 10003
United States

Goethe University Frankfurt - Department of Finance ( email )

House of Finance
Grueneburgplatz 1
Frankfurt am Main, Hessen 60323
Germany

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