IDEAS home Printed from https://ideas.repec.org/p/xrp/wpaper/xreap2014-04.html
   My bibliography  Save this paper

Optimal stop-loss reinsurance: a dependence analysis

Author

Listed:
  • Anna Castañer

    (Dept. Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona, Av. Diagonal, 690, 08034 Barcelona, Spain)

  • Mª Mercè Claramunt

    (Dept. Matemàtica Econòmica, Financera i Actuarial, Universitat de Barcelona, Av. Diagonal, 690, 08034 Barcelona, Spain)

Abstract

The stop-loss reinsurance is one of the most important reinsurance contracts in the insurance market. From the insurer point of view, it presents an interesting property: it is optimal if the criterion of minimizing the variance of the cost of the insurer is used. The aim of the paper is to contribute to the analysis of the stop-loss contract in one period from the point of view of the insurer and the reinsurer. Firstly, the influence of the parameters of the reinsurance contract on the correlation coefficient between the cost of the insurer and the cost of the reinsurer is studied. Secondly, the optimal stop-loss contract is obtained if the criterion used is the maximization of the joint survival probability of the insurer and the reinsurer in one period.

Suggested Citation

  • Anna Castañer & Mª Mercè Claramunt, 2014. "Optimal stop-loss reinsurance: a dependence analysis," Working Papers XREAP2014-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Apr 2014.
  • Handle: RePEc:xrp:wpaper:xreap2014-04
    as

    Download full text from publisher

    File URL: http://www.xreap.cat/RePEc/xrp/pdf/XREAP2014-04.pdf
    File Function: First version, 2014
    Download Restriction: no

    File URL: http://www.xreap.cat/RePEc/xrp/pdf/XREAP2014-04.pdf
    File Function: Revised version, 2014
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Antonio Di Paolo & Josep Lluís Raymond, 2012. "Language Knowledge and Earnings in Catalonia," Journal of Applied Economics, Taylor & Francis Journals, vol. 15(1), pages 89-118, May.
    2. José García-Quevedo & Gabriele Pellegrino & Marco Vivarelli, 2011. "The determinants of YIc's R&D activity," Working Papers XREAP2011-20, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2011.
    3. Montserrat Guillen & Adelina Comas-Herrera, 2011. "How much risk is mitigated by LTC Insurance? A case study of the public system in Spain," Working Papers XREAP2011-07, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2011.
    4. Antonio Di Paolo & Aysit Tansel, 2015. "Returns to Foreign Language Skills in a Developing Country: The Case of Turkey," Journal of Development Studies, Taylor & Francis Journals, vol. 51(4), pages 407-421, April.
    5. Anna Matas & Josep-Lluis Raymond, 2007. "Cross-section data, disequilibrium situations and estimated coefficients: evidence from car ownership demand," Working Papers XREAP2007-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2007.
    6. Anna Matas & Josep-Lluis Raymond & Adriana Ruiz, 2012. "Traffic forecasts under uncertainty and capacity constraints," Transportation, Springer, vol. 39(1), pages 1-17, January.
    7. Jordi Perdiguero & Joan-Ramon Borrell, 2012. "Driving competition in local gasoline markets," Working Papers XREAP2012-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Mar 2012.
    8. Vicente Royuela, 2012. "What about people in European Regional Science?," Working Papers XREAP2012-12, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2012.
    9. Manuel Artis & Raul Ramos & Jordi Suriñach, 2006. "Job losses, outsourcing and relocation, empirical evidence using microdata," IREA Working Papers 200601, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    10. Luciano Canova & Alessandro Vaglio, 2010. "Why do educated mothers matter? A model of parental help," Working Papers XREAP2010-17, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2010.
    11. Néstor Duch & Daniel Montolio & Mauro Mediavilla, 2007. "Evaluating the impact of public subsidies on a firm's performance: A quasi-experimental approach," Working Papers 2007/3, Institut d'Economia de Barcelona (IEB).
    12. Vicente Royuela & Diona Lambiri & Bianca Biagi, 2006. "Economía Urbana y calidad de vida. Una revisión del estado del conocimiento en España," Working Papers CREAP2006-13, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2006.
    13. Antonio Di Paolo, 2010. "School Composition Effects in Spain," Working Papers XREAP2010-13, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2010.
    14. Peter Claeys & Raúl Ramos & Jordi Suriñach, 2008. "Fiscal sustainability across government tiers," International Economics and Economic Policy, Springer, vol. 5(1), pages 139-163, July.
    15. Syed A. Basher & Josep Lluis Carrión-i-Silvestre, 2008. "Deconstructing Shocks and Persistence in OECD Real Exchange Rates," Working Papers XREAP2008-06, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2008.
    16. Antonio Di Paolo, 2012. "(Endogenous) occupational choices and job satisfaction among recent PhD recipients: evidence from Catalonia," Working Papers XREAP2012-21, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2012.
    17. J. Ignacio García-Pérez & Marisa Hidalgo-Hidalgo & J. Antonio Robles-Zurita, 2011. "Does grade retention affect achievement? Some evidence from Pisa," Working Papers 2011/37, Institut d'Economia de Barcelona (IEB).
    18. Eva Boj & Pedro Delicado & Josep Fortiana & Anna Esteve & Adria Caballe, 2012. "Local Distance-Based Generalized Linear Models using the dbstats package for R," Working Papers XREAP2012-11, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2012.
    19. Jordi Jofre-Monseny & Raquel Marín-López & Elisabet Viladecans-Marsal, 2012. "What underlies localization and urbanization economies? Evidence from the location of new firms," Working Papers XREAP2012-08, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2012.
    20. Rafael Gonz�lez-Val & Jose Olmo, 2015. "Growth in a Cross-section of Cities: Location, Increasing Returns or Random Growth?," Spatial Economic Analysis, Taylor & Francis Journals, vol. 10(2), pages 230-261, June.
    21. Miriam Hortas-Rico & Albert Solé-Ollé, 2010. "Does Urban Sprawl Increase the Costs of Providing Local Public Services? Evidence from Spanish Municipalities," Urban Studies, Urban Studies Journal Limited, vol. 47(7), pages 1513-1540, June.
    22. Sandra Nieto Viramontes & Raul Ramos Lobo, 2011. "¿La sobreeducación de los padres afecta al rendimiento académico de sus hijos?," Investigaciones de Economía de la Educación volume 6, in: Antonio Caparrós Ruiz (ed.), Investigaciones de Economía de la Educación 6, edition 1, volume 6, chapter 11, pages 185-206, Asociación de Economía de la Educación.
    23. Xosé-Luís Varela-Irimia, 2014. "Age effects, unobserved characteristics and hedonic price indexes: The Spanish car market in the 1990s," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 5(4), pages 419-455, November.
    24. Claudia Tello & Raul Ramos & Manuel Artís, 2012. "Changes in wage structure in Mexico going beyond the mean: An analysis of differences in distribution, 1987-2008," Working Papers XREAP2012-07, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2012.
    25. Antonio Di Paolo, 2012. "Parental Education And Family Characteristics: Educational Opportunities Across Cohorts In Italy And Spain," Revista de Economia Aplicada, Universidad de Zaragoza, Departamento de Estructura Economica y Economia Publica, vol. 20(1), pages 119-146, Spring.
    26. Anna Matas & José Luís Raymond & José Luís Roig, 2011. "The impact of agglomeration effects and accessibility on wages," Working Papers XREAP2011-16, Xarxa de Referència en Economia Aplicada (XREAP), revised Nov 2011.
    27. Matas, Anna & Raymond, José-Luis & Roig, José-Luis, 2009. "Car ownership and access to jobs in Spain," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(6), pages 607-617, July.
    28. Nestor Duch-Brown & Jose Garcia-Quevedo & Daniel Montolio, 2008. "Assessing the assignation of public subsidies: Do the experts choose the most efficient R&D projects?," Working Papers in Economics 207, Universitat de Barcelona. Espai de Recerca en Economia.
    29. Hipólito Simón & Raul Ramos & Esteban Sanromá, 2010. "Movilidad ocupacional de los inmigrantes en una economía de bajas cualificaciones. El caso de España," Working Papers XREAP2010-06, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2010.
    30. Francesc Trillas & Daniel Montolio & Néstor Duch, 2011. "Productive Efficiency And Regulatory Reform: The Case Of Vehicle Inspection Services," Revista de Economia Aplicada, Universidad de Zaragoza, Departamento de Estructura Economica y Economia Publica, vol. 19(1), pages 33-59, Spring.
    31. Veruska Oppedisano & Gilberto Turati, 2010. "What are the causes of educational inequalities and of their evolution over time in Europe? Evidence from PISA," Working Papers XREAP2010-16, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2010.
    32. Marta Arespa, 2011. "Macroeconomics of extensive margins: a simple model," Working Papers XREAP2011-19, Xarxa de Referència en Economia Aplicada (XREAP), revised Nov 2011.
    33. Raul Ramos & Jordi Suriñach & Manuel Artís, 2010. "Human capital spillovers, productivity and regional convergence in Spain," Papers in Regional Science, Wiley Blackwell, vol. 89(2), pages 435-447, June.
    34. Agustí Segarra-Blasco & Mercedes Teruel-Carrizosa, 2006. "Productivity growth and competition in spanish manufacturing firms: What has happened in recent years?," Working Papers CREAP2006-09, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2006.
    35. Agustí Segarra-Blasco & José García-Quevedo & Mercedes Teruel-Carrizosa, 2007. "Barriers to Innovation and Public Policy in Catalonia," Working Papers XREAP2007-10, Xarxa de Referència en Economia Aplicada (XREAP), revised Nov 2007.
    36. Bilotkach, Volodymyr & Fageda, Xavier & Flores-Fillol, Ricardo, 2010. "Scheduled service versus personal transportation: The role of distance," Regional Science and Urban Economics, Elsevier, vol. 40(1), pages 60-72, January.
    37. Xosé-Luís Varela-Irimia, 2012. "Profitability, uncertainty and multi-product firm product proliferation: The Spanish car industry," Working Papers XREAP2012-16, Xarxa de Referència en Economia Aplicada (XREAP), revised Sep 2012.
    38. Joan-Ramon Borrell & Juan Luis Jiménez & Carmen García, 2014. "Evaluating Antitrust Leniency Programs," Journal of Competition Law and Economics, Oxford University Press, vol. 10(1), pages 107-136.
    39. Syed A. Basher & Josep Lluis Carrión-i-Silvestre, 2008. "Price level convergence, purchasing power parity and multiple structural breaks: An application to US cities," Working Papers XREAP2008-08, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2008.
    40. Anna Matas & Josep Lluís Raymond & José Luis Roig, 2013. "How market access shapes human capital investment in a peripheral country," Working Papers XREAP2013-06, Xarxa de Referència en Economia Aplicada (XREAP), revised Oct 2013.
    41. Mercedes Teruel-Carrizosa & Agustí Segarra-Blasco, 2008. "Immigration and Firm Growth: Evidence from Spanish cities," Working Papers XREAP2008-11, Xarxa de Referència en Economia Aplicada (XREAP), revised Nov 2008.
    42. Néstor Duch-Brown & José García-Quevedo & Daniel Montolio, 2011. "The link between public support and private R&D effort: What is the optimal subsidy?," Working Papers XREAP2011-09, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2011.
    43. Ernest Miguele & Rosina Moreno, 2012. "Do labour mobility and networks foster geographical knowledge diffusion? The case of European regions," Working Papers XREAP2012-14, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2012.
    44. Antonio di Paolo, 2011. "Knowledge of catalan, public/prívate sector choice and earnings: Evidence from a double sample selection model," Hacienda Pública Española / Review of Public Economics, IEF, vol. 197(2), pages 9-35, June.
    45. Esteban Sanromá & Raul Ramos & Hipólito Simón, 2009. "Los salarios de los inmigrantes en el mercado de trabajo español. ¿Importa el origen del capital humano?," Working Papers XREAP2009-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Apr 2009.
    46. Ana Maria Osorio & Catalina Bolancé & Nyovane Madise & Katharina Rathmann, 2013. "Social Determinants of Child Health in Colombia: Can Community Education Moderate the Effect of Family Characteristics?," Working Papers XREAP2013-02, Xarxa de Referència en Economia Aplicada (XREAP), revised Mar 2013.
    47. Esteve Sanromá & Raul Ramos & Hipólito Simón, 2008. "Portabilidad del capital humano y asimilación de los inmigrantes. Evidencia para España," Working Papers XREAP2008-07, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2008.
    48. Miriam Hortas-Rico & Albert Solé-Ollé, 2010. "Does Urban Sprawl Increase the Costs of Providing Local Public Services? Evidence from Spanish Municipalities," Urban Studies, Urban Studies Journal Limited, vol. 47(7), pages 1513-1540, June.
    49. Néstor Duch-Brown & José García-Quevedo & Daniel Montolio, 2011. "The link between public support and private R&D effort: What is the optimal subsidy?," Working Papers XREAP2011-09, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2011.
    50. Joan-Ramon Borrell & Laura Fernández-Villadangos, 2009. "Assessing excess profits from different entry regulations," Working Papers XREAP2009-03, Xarxa de Referència en Economia Aplicada (XREAP), revised Apr 2009.
    51. Mariam Camarero & Josep Lluis Carrion Silvestre & Cecilio Tamarit, 2006. "New evidence of the real interest rate parity for OECD countries using panel unit root tests with breaks," Working Papers in Economics 159, Universitat de Barcelona. Espai de Recerca en Economia.
    52. Nestor Duch-Brown & Jose Garcia-Quevedo & Daniel Montolio, 2008. "Assessing the assignation of public subsidies: Do the experts choose the most efficient R&D projects?," Working Papers in Economics 207, Universitat de Barcelona. Espai de Recerca en Economia.
    53. Ana Maria Osorio & Catalina Bolancé & Nyovani Madise, 2012. "Intermediary and structural determinants of early childhood health in Colombia: exploring the role of communities," Working Papers XREAP2012-13, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2012.
    54. Antonio Manresa & Ferran Sancho, 2012. "Leontief versus Ghosh: two faces of the same coin," Working Papers XREAP2012-18, Xarxa de Referència en Economia Aplicada (XREAP), revised Oct 2012.
    Full references (including those not matched with items on IDEAS)

    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. Catalina Bolancé & Zuhair Bahraoui & Ramon Alemany, 2015. "Estimating extreme value cumulative distribution functions using bias-corrected kernel approaches," Working Papers XREAP2015-01, Xarxa de Referència en Economia Aplicada (XREAP), revised Jan 2015.
    2. Antonio Manresa & Ferran Sancho, 2012. "Leontief versus Ghosh: two faces of the same coin," Working Papers XREAP2012-18, Xarxa de Referència en Economia Aplicada (XREAP), revised Oct 2012.
    3. Anna Castañer & Mª Mercè Claramunt & Alba Tadeo & Javier Varea, 2016. "Modelización de la dependencia del número de siniestros. Aplicación a Solvencia II," Working Papers XREAP2016-01, Xarxa de Referència en Economia Aplicada (XREAP), revised Sep 2016.
    4. Mercedes Ayuso & Montserrat Guillen & Jens Perch Nielsen, 2019. "Improving automobile insurance ratemaking using telematics: incorporating mileage and driver behaviour data," Transportation, Springer, vol. 46(3), pages 735-752, June.
    5. Esther Vayá & José Ramón García & Joaquim Murillo & Javier Romaní & Jordi Suriñach, 2016. "“Economic Impact of Cruise Activity: The Port of Barcelona”," AQR Working Papers 201609, University of Barcelona, Regional Quantitative Analysis Group, revised Nov 2016.
    6. Manuela Alcañiz & Montserrat Guillén & Daniel Sánchez-Moscona & Miguel Santolino & Oscar Llatje & Lluís Ramon, 2013. "Prevalence of alcohol-impaired drivers based on random breath tests in a roadside survey," Working Papers XREAP2013-05, Xarxa de Referència en Economia Aplicada (XREAP), revised Jul 2013.
    7. Antonio Di Paolo & Ferran Mañé, 2014. "Are we wasting our talent? Overqualification and overskilling among PhD graduates," Working Papers XREAP2014-06, Xarxa de Referència en Economia Aplicada (XREAP), revised Jun 2014.
    8. Agustí Segarra & Mercedes Teruel & Miquel Angel Bove, 2014. "A territorial approach to R&D subsidies: Empirical evidence for Catalonian firms," Working Papers XREAP2014-07, Xarxa de Referència en Economia Aplicada (XREAP), revised Sep 2014.
    9. Teixidó-Figueras, J. & Duro, J.A., 2014. "Spatial Polarization of the Ecological Footprint Distribution," Ecological Economics, Elsevier, vol. 104(C), pages 93-106.
    10. Garcia-López, Miquel-Àngel & Hémet, Camille & Viladecans-Marsal, Elisabet, 2017. "Next train to the polycentric city: The effect of railroads on subcenter formation," Regional Science and Urban Economics, Elsevier, vol. 67(C), pages 50-63.
    11. Daniel Albalate & Jordi Rosell, 2016. "Persistent and transient efficiency on the stochastic production and cost frontiers – an application to the motorway sector," Working Papers XREAP2016-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Oct 2016.
    12. Jofre-Monseny, Jordi & Silva, José I. & Vázquez-Grenno, Javier, 2020. "Local labor market effects of public employment," Regional Science and Urban Economics, Elsevier, vol. 82(C).
    13. Ana Maria Osorio & Catalina Bolancé & Nyovane Madise & Katharina Rathmann, 2013. "Social Determinants of Child Health in Colombia: Can Community Education Moderate the Effect of Family Characteristics?," Working Papers XREAP2013-02, Xarxa de Referència en Economia Aplicada (XREAP), revised Mar 2013.
    14. Aida Solé-Auró & Manuela Alcañiz, 2014. "Are we living longer but less healthy? Trends in mortality and morbidity in Catalonia (Spain), 1994-2011," Working Papers XREAP2014-01, Xarxa de Referència en Economia Aplicada (XREAP), revised Jan 2013.
    15. Carmen D. Álvarez-Albelo & Antonio Manresa & Monica Pigem-Vigo, 2015. "Growing through trade: the role of foreign growth and domestic tariffs," Working Papers XREAP2015-04, Xarxa de Referència en Economia Aplicada (XREAP), revised Nov 2015.
    16. Teixidó-Figueras, Jordi & Duro, Juan Antonio, 2015. "The building blocks of International Ecological Footprint inequality: A Regression-Based Decomposition," Ecological Economics, Elsevier, vol. 118(C), pages 30-39.
    17. Raúl Ramos & Esteban Sanromá & Hipólito Simón, 2015. "An analysis of wage differentials between full-and part-time workers in Spain," Working Papers 2015/29, Institut d'Economia de Barcelona (IEB).
    18. Matas, Anna & Raymond, José-Luis & Roig, José-Luis, 2009. "Car ownership and access to jobs in Spain," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(6), pages 607-617, July.
    19. Raúl Ramos & Esteban Sanromá & Hipólito Simón, 2014. "Public-Private Sector Wage Differentials by Type of Contract: Evidence from Spain," Hacienda Pública Española / Review of Public Economics, IEF, vol. 208(1), pages 107-141, March.
    20. Antonio Di Paolo, 2012. "(Endogenous) occupational choices and job satisfaction among recent PhD recipients: evidence from Catalonia," Working Papers XREAP2012-21, Xarxa de Referència en Economia Aplicada (XREAP), revised Dec 2012.

    More about this item

    Keywords

    Stop-loss premium; survival probabilities; reinsurance;
    All these keywords.

    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:xrp:wpaper:xreap2014-04. 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: XREAP (email available below). General contact details of provider: https://edirc.repec.org/data/xreapes.html .

    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.