IDEAS home Printed from https://ideas.repec.org/p/ajk/ajkdps/154.html
   My bibliography  Save this paper

Life Insurance Convexity

Author

Listed:
  • Christian Kubitza

    (European Central Bank)

  • Nicolaus Grochola

    (Goethe University Frankfurt, International Center for Insurance Regulation, Germany.)

  • Helmut Gründl

    (Goethe University Frankfurt, International Center for Insurance Regulation, Germany.)

Abstract

Life insurers sell savings contracts with surrender options, which allow policyholders to prema-turely receive guaranteed surrender values. These surrender options move toward the money when interest rates rise. Hence, higher interest rates raise surrender rates, as we document empirically by exploiting plausibly exogenous variation in monetary policy. Using a calibrated model, we then estimate that surrender options would force insurers to sell up to 2% of their investments during an enduring interest rate rise of 25 bps per year. We show that these fire sales are fueled by surrender value guarantees and insurers’ long-term investments.

Suggested Citation

  • Christian Kubitza & Nicolaus Grochola & Helmut Gründl, 2022. "Life Insurance Convexity," ECONtribute Discussion Papers Series 154, University of Bonn and University of Cologne, Germany.
  • Handle: RePEc:ajk:ajkdps:154
    as

    Download full text from publisher

    File URL: https://www.econtribute.de/RePEc/ajk/ajkdps/ECONtribute_154_2022.pdf
    File Function: Second version, 2022
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christina D. Romer & David H. Romer, 2004. "A New Measure of Monetary Shocks: Derivation and Implications," American Economic Review, American Economic Association, vol. 94(4), pages 1055-1084, September.
    2. Elijah Brewer & Thomas H. Mondschean & Philip E. Strahan, 1993. "Why the life insurance industry did not face an \\"S&L-type\\" crisis," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 17(Sep), pages 12-24.
    3. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    4. Dimitri Vayanos & Jean‐Luc Vila, 2021. "A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 89(1), pages 77-112, January.
    5. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    6. Andrew Ellul & Chotibhak Jotikasthira & Christian T. Lundblad & Yihui Wang, 2015. "Is Historical Cost Accounting a Panacea? Market Stress, Incentive Distortions, and Gains Trading," Journal of Finance, American Finance Association, vol. 70(6), pages 2489-2538, December.
    7. Martin Eling & Dieter Kiesenbauer, 2014. "What Policy Features Determine Life Insurance Lapse? An Analysis of the German Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 81(2), pages 241-269, June.
    8. Andrew Ellul & Chotibhak Jotikasthira & Anastasia Kartasheva & Christian T Lundblad & Wolf Wagner, 2022. "Insurers as Asset Managers and Systemic Risk," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5483-5534.
    9. Martin Eling & Stefan Holder, 2013. "Maximum Technical Interest Rates in Life Insurance in Europe and the United States: An Overview and Comparison," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 38(2), pages 354-375, April.
    10. Girardi, Giulio & Hanley, Kathleen W. & Nikolova, Stanislava & Pelizzon, Loriana & Sherman, Mila Getmansky, 2021. "Portfolio similarity and asset liquidation in the insurance industry," Journal of Financial Economics, Elsevier, vol. 142(1), pages 69-96.
    11. Annamaria Lusardi & Olivia S. Mitchell, 2014. "The Economic Importance of Financial Literacy: Theory and Evidence," Journal of Economic Literature, American Economic Association, vol. 52(1), pages 5-44, March.
    12. Ralph S. J. Koijen & Motohiro Yogo, 2023. "Understanding the Ownership Structure of Corporate Bonds," American Economic Review: Insights, American Economic Association, vol. 5(1), pages 73-92, March.
    13. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
    14. Jotikasthira, Chotibhak & Le, Anh & Lundblad, Christian, 2015. "Why do term structures in different currencies co-move?," Journal of Financial Economics, Elsevier, vol. 115(1), pages 58-83.
    15. Timmer, Yannick, 2018. "Cyclical investment behavior across financial institutions," Journal of Financial Economics, Elsevier, vol. 129(2), pages 268-286.
    16. Mikhail Chernov & Brett R. Dunn & Francis A. Longstaff, 2018. "Macroeconomic-Driven Prepayment Risk and the Valuation of Mortgage-Backed Securities," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 1132-1183.
    17. Antonio Coppola, 2025. "In Safe Hands: The Financial and Real Impact of Investor Composition over the Credit Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 38(8), pages 2275-2325.
    18. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    19. Bo Becker & Marcus M Opp & Farzad Saidi, 2022. "Regulatory Forbearance in the U.S. Insurance Industry: The Effects of Removing Capital Requirements for an Asset Class," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5438-5482.
    20. Goldstein, Itay & Jiang, Hao & Ng, David T., 2017. "Investor flows and fragility in corporate bond funds," Journal of Financial Economics, Elsevier, vol. 126(3), pages 592-613.
    21. Félix Hufeld & Ralph S. J. Koijen & Christian Thimann, 2017. "The Economics, Regulation, and Systemic Risk of Insurance Markets," Post-Print halshs-01394318, HAL.
    22. Hsiaoyin Chang & Hato Schmeiser, 2022. "Life insurance surrender and liquidity risks," Quantitative Finance, Taylor & Francis Journals, vol. 22(4), pages 761-776, April.
    23. Mark Gertler & Peter Karadi, 2015. "Monetary Policy Surprises, Credit Costs, and Economic Activity," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 44-76, January.
    24. Daniel Gottlieb & Kent Smetters, 2021. "Lapse-Based Insurance," American Economic Review, American Economic Association, vol. 111(8), pages 2377-2416, August.
    25. Robin Greenwood & Samuel Hanson & Jeremy C. Stein, 2010. "A Gap‐Filling Theory of Corporate Debt Maturity Choice," Journal of Finance, American Finance Association, vol. 65(3), pages 993-1028, June.
    26. Allen, Franklin & Carletti, Elena, 2006. "Credit risk transfer and contagion," Journal of Monetary Economics, Elsevier, vol. 53(1), pages 89-111, January.
    27. Weiyu Kuo & Chenghsien Tsai & Wei‐Kuang Chen, 2003. "An Empirical Study on the Lapse Rate: The Cointegration Approach," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 70(3), pages 489-508, September.
    28. Ralph S.J. Koijen & Motohiro Yogo, 2022. "The Fragility of Market Risk Insurance," Journal of Finance, American Finance Association, vol. 77(2), pages 815-862, April.
    29. Laura Alfaro & Saleem A. Bahaj & Robert Czech & Jonathon Hazell & Ioana Neamtu, 2024. "LASH risk and Interest Rates," NBER Working Papers 33241, National Bureau of Economic Research, Inc.
    30. Bo Becker & Victoria Ivashina, 2015. "Reaching for Yield in the Bond Market," Journal of Finance, American Finance Association, vol. 70(5), pages 1863-1902, October.
    31. Robin Greenwood & Annette Vissing-Jorgensen, 2018. "The Impact of Pensions and Insurance on Global Yield Curves," Harvard Business School Working Papers 18-109, Harvard Business School, revised Dec 2018.
    32. Simon Gilchrist & Egon Zakrajsek, 2012. "Credit Spreads and Business Cycle Fluctuations," American Economic Review, American Economic Association, vol. 102(4), pages 1692-1720, June.
    33. Massa, Massimo & Zhang, Lei, 2021. "The Spillover Effects of Hurricane Katrina on Corporate Bonds and the Choice Between Bank and Bond Financing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 56(3), pages 885-913, May.
    34. Fernando Duarte & Thomas M. Eisenbach, 2021. "Fire‐Sale Spillovers and Systemic Risk," Journal of Finance, American Finance Association, vol. 76(3), pages 1251-1294, June.
    35. Hombert, Johan & Möhlmann, Axel & Weiß, Matthias, 2021. "Inter-cohort risk sharing with long-term guarantees: Evidence from German participating contracts," Discussion Papers 10/2021, Deutsche Bundesbank.
    36. Berdin, Elia & Pancaro, Cosimo & Kok Sørensen, Christoffer, 2016. "A stochastic forward-looking model to assess the profitability and solvency of European insurers," ICIR Working Paper Series 21/16, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    37. Kristy Jansen & Sven Klingler & Angelo Ranaldo & Patty Duijm, 2024. "Pension Liquidity Risk," Swiss Finance Institute Research Paper Series 24-16, Swiss Finance Institute.
    38. Ralph S. J. Koijen & Motohiro Yogo, 2019. "A Demand System Approach to Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 127(4), pages 1475-1515.
    39. Johan Hombert & Victor Lyonnet, 2022. "Can Risk Be Shared across Investor Cohorts? Evidence from a Popular Savings Product," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5387-5437.
    40. Kubitza, Christian, 2021. "Investor-driven corporate finance: Evidence from insurance markets," ICIR Working Paper Series 43/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    41. Nathan Foley-Fisher & Borghan Narajabad & Stéphane Verani, 2020. "Self-Fulfilling Runs: Evidence from the US Life Insurance Industry," Journal of Political Economy, University of Chicago Press, vol. 128(9), pages 3520-3569.
    42. Daniel Bauer & Jin Gao & Thorsten Moenig & Eric R. Ulm & Nan Zhu, 2017. "Policyholder Exercise Behavior in Life Insurance: The State of Affairs," North American Actuarial Journal, Taylor & Francis Journals, vol. 21(4), pages 485-501, October.
    43. Marek Jarociński & Peter Karadi, 2020. "Deconstructing Monetary Policy Surprises—The Role of Information Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(2), pages 1-43, April.
    44. Nina Boyarchenko & Andreas Fuster & David O Lucca, 2019. "Understanding Mortgage Spreads," The Review of Financial Studies, Society for Financial Studies, vol. 32(10), pages 3799-3850.
    45. Ellul, Andrew & Jotikasthira, Chotibhak & Lundblad, Christian T., 2011. "Regulatory pressure and fire sales in the corporate bond market," Journal of Financial Economics, Elsevier, vol. 101(3), pages 596-620, September.
    46. DeAngelo, Harry & DeAngelo, Linda & Gilson, Stuart C., 1994. "The collapse of First Executive Corporation junk bonds, adverse publicity, and the 'run on the bank' phenomenon," Journal of Financial Economics, Elsevier, vol. 36(3), pages 287-336, December.
    47. Robin Greenwood & Dimitri Vayanos, 2010. "Price Pressure in the Government Bond Market," American Economic Review, American Economic Association, vol. 100(2), pages 585-590, May.
    48. Bekaert, Geert & Ermolov, Andrey, 2023. "International Yield Comovements," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 58(1), pages 250-288, February.
    49. Dimitri Vayanos & Jean‐Luc Vila, 2023. "Corrigendum: A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 91(3), pages 31-32, May.
    50. Coval, Joshua & Stafford, Erik, 2007. "Asset fire sales (and purchases) in equity markets," Journal of Financial Economics, Elsevier, vol. 86(2), pages 479-512, November.
    51. Peter Diep & Andrea L. Eisfeldt & Scott Richardson, 2021. "The Cross Section of MBS Returns," Journal of Finance, American Finance Association, vol. 76(5), pages 2093-2151, October.
    52. Nolte, Sven & Schneider, Judith C., 2017. "Don’t lapse into temptation: a behavioral explanation for policy surrender," Journal of Banking & Finance, Elsevier, vol. 79(C), pages 12-27.
    53. Kyal Berends & Robert McMenamin & Thanases Plestis & Richard J. Rosen, 2013. "The sensitivity of life insurance firms to interest rate changes," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 37(Q II), pages 47-78.
    54. Benjamin Knox & Jakob Ahm Sørensen, 2024. "Insurers’ Investments and Insurance Prices," Finance and Economics Discussion Series 2024-058, Board of Governors of the Federal Reserve System (U.S.).
    55. Francesca Biagini & Tobias Huber & Johannes G. Jaspersen & Andrea Mazzon, 2021. "Estimating extreme cancellation rates in life insurance," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 88(4), pages 971-1000, December.
    56. David T. Russell & Stephen G. Fier & James M. Carson & Randy E. Dumm, 2013. "An Empirical Analysis of Life Insurance Policy Surrender Activity," Journal of Insurance Issues, Western Risk and Insurance Association, vol. 36(1), pages 35-57.
    57. Hombert, Johan & Lyonnet, Victor, 2019. "Can Risk Be Shared Across Investor Cohorts? Evidence from a Popular Savings Product," CEPR Discussion Papers 14029, C.E.P.R. Discussion Papers.
    58. Christoph Hambel & Holger Kraft & Lorenz S. Schendel & Mogens Steffensen, 2017. "Life Insurance Demand Under Health Shock Risk," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1171-1202, December.
    59. Dietrich Domanski & Hyun Song Shin & Vladyslav Sushko, 2017. "The Hunt for Duration: Not Waving but Drowning?," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 65(1), pages 113-153, April.
    60. Ellul, Andrew & Lundblad, Christian T & Wang, Yihui & Jotikasthira, Chotibhak, 2015. "Is Historical Cost Accounting a Panacea? Market Stress, Incentive Distortions, and Gains Trading," CEPR Discussion Papers 10450, C.E.P.R. Discussion Papers.
    61. Hombert, Johan & Lyonnet, Victor, 2019. "Can Risk Be Shared Across Investor Cohorts? Evidence from a Popular Savings Product," Working Paper Series 2019-17, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    62. Koijen, Ralph S.J. & Lee, Hae Kang & Van Nieuwerburgh, Stijn, 2024. "Aggregate lapsation risk," Journal of Financial Economics, Elsevier, vol. 155(C).
    63. Lorenzo Bretscher & Lukas Schmid & Ishita Sen & Varun Sharma, 2021. "Institutional Corporate Bond Demand," Swiss Finance Institute Research Paper Series 21-07, Swiss Finance Institute.
    64. Vayanos, Dimitri & Vila, Jean-Luc, 2009. "A preferred-habitat model of the term structure of interest rates," LSE Research Online Documents on Economics 29308, London School of Economics and Political Science, LSE Library.
    65. Grosen, Anders & Løchte Jørgensen, Peter, 2001. "Life Insurance Liabilities at Market Value," Finance Working Papers 01-4, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    66. Lu, Erin P. & Lai, Gene C. & Ma, Qingzhong, 2017. "Organizational structure, risk-based capital requirements, and the sales of downgraded bonds," Journal of Banking & Finance, Elsevier, vol. 74(C), pages 51-68.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mehrez Ben Nasr, 2025. "Determinants of Surrenders in Life Insurance: Evidence from Tunisian Periodic Savings," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 12(10), pages 3104-3119, October.
    2. Giuzio, Margherita & Kapadia, Sujit & Kaufmann, Christoph & Storz, Manuela & Weistroffer, Christian, 2025. "Macroprudential policy, monetary policy and non-bank financial intermediation," Working Paper Series 3130, European Central Bank.
    3. Sydow, Matthias & Fukker, Gábor & Dubiel-Teleszynski, Tomasz & Franch, Fabio & Gründl, Helmut & Miccio, Debora & Pellegrino, Michela & Gallet, Sébastien & Kotronis, Stelios & Schlütter, Sebastian & So, 2024. "Banks and non-banks stressed: liquidity shocks and the mitigating role of insurance companies," Working Paper Series 3000, European Central Bank.
    4. Corradin, Stefano & Fontana, Alessandro & Kubitza, Christian & Maddaloni, Angela, 2025. "The complex linkages between euro area insurers and sovereign bond markets," Research Bulletin, European Central Bank, vol. 137.
    5. Grochola, Nicolaus & Browne, Mark Joseph & Gründl, Helmut & Schlütter, Sebastian, 2021. "Exploring the market risk profiles of U.S. and European life insurers," ICIR Working Paper Series 39/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    6. Cheng, Chunli & Hilpert, Christian & Miri Lavasani, Aidin & Schaefer, Mick, 2023. "Surrender contagion in life insurance," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1465-1479.
    7. Koijen, Ralph S.J. & Lee, Hae Kang & Van Nieuwerburgh, Stijn, 2024. "Aggregate lapsation risk," Journal of Financial Economics, Elsevier, vol. 155(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kristy Jansen, 2023. "Long-term Investors, Demand Shifts, and Yields," Working Papers 769, DNB.
    2. Martijn Boermans, 2025. "Hedging against inflation: International evidence on investor clientele effects in the bond market," Working Papers 838, DNB.
    3. Axel Möhlmann, 2021. "Interest rate risk of life insurers: Evidence from accounting data," Financial Management, Financial Management Association International, vol. 50(2), pages 587-612, June.
    4. Benjamin Knox & Jakob Ahm Sørensen, 2024. "Insurers’ Investments and Insurance Prices," Finance and Economics Discussion Series 2024-058, Board of Governors of the Federal Reserve System (U.S.).
    5. Kubitza, Christian, 2021. "Investor-driven corporate finance: Evidence from insurance markets," ICIR Working Paper Series 43/21, Goethe University Frankfurt, International Center for Insurance Regulation (ICIR).
    6. Jansen, Kristy, 2021. "Essays on institutional investors, portfolio choice, and asset prices," Other publications TiSEM fd998408-d282-4e0f-b542-4, Tilburg University, School of Economics and Management.
    7. Kirti, Divya, 2024. "When gambling for resurrection is too risky," Journal of Banking & Finance, Elsevier, vol. 162(C).
    8. Barbu, Alexandru & Fricke, Christoph & Mönch, Emanuel, 2020. "Procyclical asset management and bond risk premia," Discussion Papers 38/2020, Deutsche Bundesbank.
    9. Kyeonghee Kim & J. Tyler Leverty & Joan T. Schmit, 2023. "Regulatory capital and asset risk transfer," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 90(4), pages 1027-1061, December.
    10. Acharya, Viral V. & Banerjee, Ryan & Crosignani, Matteo & Eisert, Tim & Spigt, Renée, 2025. "Exorbitant privilege? Quantitative easing and the bond market subsidy of prospective fallen angels," Journal of Financial Economics, Elsevier, vol. 170(C).
    11. Aytek Malkhozov & Philippe Mueller & Andrea Vedolin & Gyuri Venter, 2016. "Mortgage Risk and the Yield Curve," The Review of Financial Studies, Society for Financial Studies, vol. 29(5), pages 1220-1253.
    12. Ge, Shan & Weisbach, Michael S., 2021. "The role of financial conditions in portfolio choices: The case of insurers," Journal of Financial Economics, Elsevier, vol. 142(2), pages 803-830.
    13. Janice C. Eberly & James H. Stock & Jonathan H. Wright, 2020. "The Federal Reserve's Current Framework for Monetary Policy: A Review and Assessment," International Journal of Central Banking, International Journal of Central Banking, vol. 16(1), pages 5-71, February.
    14. Bo Becker & Marcus M Opp & Farzad Saidi, 2022. "Regulatory Forbearance in the U.S. Insurance Industry: The Effects of Removing Capital Requirements for an Asset Class," The Review of Financial Studies, Society for Financial Studies, vol. 35(12), pages 5438-5482.
    15. Koijen, Ralph S.J. & Lee, Hae Kang & Van Nieuwerburgh, Stijn, 2024. "Aggregate lapsation risk," Journal of Financial Economics, Elsevier, vol. 155(C).
    16. Kaufmann, Christoph & Leyva, Jaime & Storz, Manuela, 2024. "Insurance corporations’ balance sheets, financial stability and monetary policy," Working Paper Series 2892, European Central Bank.
    17. Christian Kubitza, 2021. "Tackling the Volatility Paradox: Spillover Persistence and Systemic Risk," ECONtribute Discussion Papers Series 079, University of Bonn and University of Cologne, Germany.
    18. Timmer, Yannick, 2018. "Cyclical investment behavior across financial institutions," Journal of Financial Economics, Elsevier, vol. 129(2), pages 268-286.
    19. Stéphane Lhuissier & Urszula Szczerbowicz, 2022. "Monetary Policy and Corporate Debt Structure," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(3), pages 497-515, June.
    20. Foley-Fisher, Nathan & Ramcharan, Rodney & Yu, Edison, 2016. "The impact of unconventional monetary policy on firm financing constraints: Evidence from the maturity extension program," Journal of Financial Economics, Elsevier, vol. 122(2), pages 409-429.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G52 - Financial Economics - - Household Finance - - - Insurance

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ajk:ajkdps:154. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ECONtribute Office (email available below). General contact details of provider: https://www.econtribute.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.