Anales del Instituto de Actuarios Españoles https://revistas.actuarios.org/index.php/aiae <p><strong>Title: </strong>Anales del Instituto de Actuarios Españoles <strong><br />Published and edited by: </strong>Instituto de Actuarios Españoles <br /><strong>Bibliographic information: ISSN: </strong>0534-3232 / <strong>ISSN-e: </strong>2531-2308, <strong>DL</strong> M-3160-1961 and <strong>DOI: </strong>10.26360<br /><strong>Frequency: </strong>yearly<br /><strong>Content access policy:</strong> open access<br /><strong>Subjects:</strong> insurance; pensions; social security; car scale; finance<br /><strong>Indexing: </strong>general description of <a href="https://revistas.actuarios.org/index.php/aiae/indexing" data-saferedirecturl="https://www.google.com/url?q=https://revistas.actuarios.org/index.php/aiae/indexing&amp;source=gmail&amp;ust=1676986103858000&amp;usg=AOvVaw0BO7hMSbCNpErBdkZdERLe">indexing</a> information<br /><strong>Statistical information: </strong><a href="https://revistas.actuarios.org/index.php/aiae/indicators" data-saferedirecturl="https://www.google.com/url?q=https://revistas.actuarios.org/index.php/aiae/indicators&amp;source=gmail&amp;ust=1676986103858000&amp;usg=AOvVaw0BPBaIQiytN_RgKFq8j3pn">statistical analysis</a></p> <p>The journal <em>Anales del Instituto de Actuarios Españoles </em>is a scientific and professional publication that aims to serve as a forum for communication and doctrinal debate for members of the actuarial profession. In this way, practising actuaries will have the opportunity not only to find out about issues of relevance to the profession, which will be addressed by other expert actuaries, but also to benefit from the studies carried out by researchers in the financial-actuarial fields. In turn, in addition to receiving contributions from other researchers, they will be able to gain a better understanding of the reality they are analysing.</p> Instituto de Actuarios Españoles es-ES Anales del Instituto de Actuarios Españoles 0534-3232 Cybersecurity in small and medium-sized enterprises: vulnerabilities, threats and the development of cyber insurance https://revistas.actuarios.org/index.php/aiae/article/view/72 <p>Small and medium-sized enterprises (SMEs) represent an essential pillar of the global economic structure. However, their increasing digitalisation also exposes them to an growing number of cyberattacks. Despite their vulnerability, many of these companies do not prioritise cybersecurity due to a lack of resources, knowledge and a misperception of risk. A review of the literature published between 2019 and 2025 is conducted to understand the current state of research in the field of SME cybersecurity and the development of cyber insurance. The results indicate that SMEs lack adequate protection measures, with phishing, ransomware and supply chain attacks being the most frequent types of attacks. Furthermore, while cyber insurance offers an effective solution for business protection and mitigation, its adoption remains low due to a lack of awareness and economic barriers. It concludes that there is a need to develop accessible cybersecurity strategies and promote the adoption of cyber insurance adapted to the reality of SMEs.</p> Ibtissame El Ferjani El Ferjani Manuel Miguel Angel Santolino Prieto Copyright (c) 2025 Miguel Angel Santolino Prieto, Ibtissame El Ferjani El Ferjani, Manuela Alcañiz Zanón https://creativecommons.org/licenses/by-nc-nd/4.0 2025-09-16 2025-09-16 31 1 17 10.26360/2025_01 An overview of funeral insurance in Spain https://revistas.actuarios.org/index.php/aiae/article/view/73 <p>Funeral insurance is an insurance product designed to cover the expenses and administrative procedures associated with a person’s death. Its main purpose is to relieve the insured person’s family of the financial and bureaucratic burdens arising from the funeral. Despite its widespread presence in the Spanish market—currently, more than 22 million people in Spain have coverage under this type of insurance—academic and scientific literature on funeral insurance remains surprisingly scarce. The aim of this study is to help fill this gap by providing a comprehensive overview of funeral insurance in Spain, based on the analysis of the sociodemographic profiles of policyholders, including their geographic distribution, income levels, and municipality sizes. The study examines a representative sample of 2.1 million policies, using the insured individuals’ postal codes of residence. The results reveal an uneven penetration across provinces, income groups, and habitat sizes, with lower rates in urban areas and among higher-income individuals. However, education level, more than income, is the variable with the greatest impact, showing a statistically significant interaction effect with income. The combination of a high level of education and high income reduces the likelihood of holding a funeral insurance policy.</p> Josep Lledó Benito Priscila Espinosa Jose M. Pavía Copyright (c) 2025 Josep Lledó Benito, Priscila Espinosa, Jose M. Pavía https://creativecommons.org/licenses/by-nc-nd/4.0 2025-09-16 2025-09-16 31 19 33 10.26360/2025_02 SCR for premium and reserve risk in non-life insurance: limitations of the standard model and statistical alternatives https://revistas.actuarios.org/index.php/aiae/article/view/61 <p style="line-height: 100%; margin-bottom: 0cm;" align="justify">This article presents an alternative statistical approach for calculating the Solvency Capital Requirement (SCR) for premium and reserve risk in non-life insurance, complementing the standard methodology outlined in Solvency II. A statistic called <span style="left: 85.44px; top: 685.343px; font-size: 13.28px; font-family: serif; transform: scaleX(0.501118);">????</span> is proposed as an analysis tool, which is constructed without considering the diversification effects established by the standard formula To evaluate the usefulness of this alternative measure, Monte Carlo simulations and bootstrap techniques are applied under various probability distributions, including normal, uniform, log-normal, and Pareto. The analysis provides insights into how distributional assumptions and dependency structures influence the estimation of capital needs.The results highlight the potential of empirical quantile-based methods and internal modeling techniques, such as copulas, to enhance the understanding of risk aggregation in non-life portfolios. This study contributes to the actuarial literature by offering a complementary perspective on SCR estimation, supporting the development of tools that align with the diverse statistical characteristics of insurance portfolios.</p> Jaime Guiance Lapido Francisco Rabadán Pérez Sonia De Paz Cobo Copyright (c) 2025 Jaime Guiance Lapido, Francisco Rabadán, Sonia de Paz https://creativecommons.org/licenses/by-nc-nd/4.0 2025-09-16 2025-09-16 31 35 55 10.26360/2025_03 The Social Risks Actuarial Index: design and application to Countries In The European Union https://revistas.actuarios.org/index.php/aiae/article/view/71 <p>Risks related to social sustainability directly affect the business opportunities of insurance companies. This study therefore develops the Actuarial Social Risk Index, which aims to measure the social risks to which these companies are exposed and the growth potential of the insurance sector.</p> <p>This paper proposes the index, identifies the relevant risks and the variables for measuring them, and presents the calculation methodology, which includes Principal Component Analysis. This research also applies the index to thirteen European Union countries using data obtained from public databases.</p> <p>The main conclusion is that this instrument can be used to measure the impact of social risks on business risk, both on the assets and liabilities of insurance companies. It can be incorporated into the risk assessment, pricing and measurement processes of insurance companies, incorporating it into risk selection, pricing and risk allocation</p> Maite Cubas-Díaz J. Iñaki De la Peña Esteban Eduardo Trigo Martínez Copyright (c) 2025 Maite Cubas-Díaz, J. Iñaki De la Peña Esteban, Eduardo Trigo Martínez https://creativecommons.org/licenses/by-nc-nd/4.0 2025-10-28 2025-10-28 31 57 89 10.26360/2025_04 The impact of armed conflicts on infant mortality: an estimate based on synthetic control https://revistas.actuarios.org/index.php/aiae/article/view/75 <p>This study analyses the impact of armed conflicts on infant mortality, considering the Syrian war as a case study and applying the synthetic control method to construct a counterfactual scenario that allows the estimation of how mortality rates would have evolved in the absence of conflict. Three age groups are studied: neonatal, childhood (5–9 years), and early adolescence (10–14 years). Based on the generated probabilities, an actuarial approach is applied to a hypothetical cohort, with particular emphasis on years of potential life lost (YPLL). The results show a clear increase in premature mortality due to the conflict, with greater intensity among those aged 5 to 9, highlighting an unequal impact according to the stage of development. In contrast, within the neonatal group, the effect of the conflict on mortality appears more moderate and less conclusive. Overall, a loss of more than 3.360 years of potential life lost is estimated, underlining the idea that armed conflicts have a negative effect on infant mortality</p> Ibtissame El Ferjani El Ferjani Helena Chuliá Soler Copyright (c) 2025 Ibtissame El Ferjani El Ferjani, Helena Chuliá Soler https://creativecommons.org/licenses/by-nc-nd/4.0 2025-11-12 2025-11-12 31 91 129 10.26360/2025_05 Evaluation and scoring proposal for international pension systems https://revistas.actuarios.org/index.php/aiae/article/view/74 <p><span style="left: 90.0166px; top: 567.913px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.16035);">Pension systems around the world have undergone significant transformations in recent decades in </span><span style="left: 90.0166px; top: 588.116px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.1752);">response to profound demographic changes that affect their performance. Population aging, </span><span style="left: 90.0166px; top: 608.318px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.1875);">increased life expectancy, and declining birth rates have challenged the full development of these </span><span style="left: 90.0166px; top: 628.719px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.14181);">systems, despite various parametric and structural reforms. In this context, the present article </span><span style="left: 90.0166px; top: 648.921px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.12554);">proposes a scoring system to evaluate the performance of pension systems across different countries, </span><span style="left: 90.0166px; top: 669.124px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.12457);">taking into account the dive</span><span style="left: 335.414px; top: 669.124px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.11641);">rsity of existing schemes. </span><span style="left: 566.818px; top: 669.124px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.11631);">The evaluation is structured around three </span><span style="left: 90.0166px; top: 689.525px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.11769);">fundamental pillars: coverage, adequacy, and financial su</span><span style="left: 589.212px; top: 689.525px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.15641);">fficiency</span><span style="left: 656.209px; top: 689.525px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.10671);">, which aim to reflect the main </span><span style="left: 90.0166px; top: 709.727px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.17256);">functions a pension system should fulfil. To construct this measure, statistical projections based on </span><span style="left: 90.0166px; top: 729.929px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.15542);">time series are used, along with principal component analysis (PCA) techniques, which allow for the </span><span style="left: 90.0166px; top: 750.132px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.1449);">synthesis of multiple </span><span style="left: 265.611px; top: 750.132px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.13533);">variables into a single indicator.</span><span style="left: 526.016px; top: 750.132px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.13451);"> As result, this approach facilitates cross-</span><span style="left: 866.415px; top: 750.132px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.18279);">country </span><span style="left: 90.0166px; top: 770.533px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.16078);">comparisons, annual trend analysis, and the identification of areas for improvement in the design of </span><span style="left: 90.0166px; top: 790.735px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.15401);">more effective public policies.</span></p> Diego Rodolfo Gorostieta Ortega Copyright (c) 2025 Diego Rodolfo Gorostieta Ortega https://creativecommons.org/licenses/by-nc-nd/4.0 2025-11-12 2025-11-12 31 131 158 10.26360/2025_06 Chilean pension system's legitimacy crisis: insights into public perception and satisfaction levels https://revistas.actuarios.org/index.php/aiae/article/view/76 <p><span style="left: 106.8px; top: 1011.11px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.15018);">his study explores the knowledge and perceptions of Chilean citizens regarding the pension </span><span style="left: 106.8px; top: 1031.31px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.13454);">system administered by the AFP (Administradoras de Fondos de Pensiones), which has faced </span><span style="left: 106.8px; top: 1051.71px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.14012);">widespread criticism for failing to address economic and gender inequalitie</span><span style="left: 726.993px; top: 1051.71px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.1463);">s. Despite reforms, </span><span style="left: 106.8px; top: 1071.91px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.15216);">persistent public dissatisfaction stems from low pension returns and high administrative fees. </span><span style="left: 106.8px; top: 1092.11px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.12788);">The research employs a quantitative observational methodology, systematically analyzing </span><span style="left: 106.8px; top: 1112.31px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.10078);">secondary data from the Social Protection Survey (EPS</span><span style="left: 588.399px; top: 1112.31px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.11606);">), a comprehensive and nationally </span><span style="left: 106.8px; top: 1132.71px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.17469);">representative longitudinal panel study conducted in Chile, with approximately 16,000 </span><span style="left: 106.8px; top: 1152.91px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.16123);">respondents. The survey collects detailed information on labor history, social protection, and </span><span style="left: 106.8px; top: 1173.11px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.14576);">financial knowledge. Descriptive statistical analysis was performed to identify significant </span><span style="left: 106.8px; top: 1193.51px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.12971);">patterns and emerging trends. Findings reveal significant dissatisfaction among affiliates, </span><span style="left: 106.8px; top: 1213.71px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.17753);">driven by inadequate pension amounts and a lack of trust in fund administrators. The study </span><span style="left: 106.8px; top: 1233.91px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.17149);">underscores the need for greater public confidence and enhanced equity within the system</span> <span style="left: 106.8px; top: 113.511px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.16817);">These insights are essential for guiding future public policy reforms, emphasizing the </span><span style="left: 106.8px; top: 133.711px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.12922);">importance of understanding the factors shaping affiliates' perceptions. Addressing these </span><span style="left: 106.8px; top: 154.111px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.13814);">issues is crucial for fostering a more equitable and socially legitimate pension system in Chile. </span><span style="left: 106.8px; top: 174.311px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.11387);">The study contributes to the broader discourse on sustainable economic development by </span><span style="left: 106.8px; top: 194.511px; font-size: 16.6px; font-family: sans-serif; transform: scaleX(1.16421);">highlighting the need for structural reforms that align with public expectations.</span></p> Claudia Verónica Castillo Rozas Jose Enrique Devesa Carpio Javier Sánchez García Carla Inés Vidal Figueroa Copyright (c) 2025 Claudia Verónica Castillo Rozas, Jose Enrique Devesa Carpio, Javier Sánchez García, Carla Inés Vidal Figueroa https://creativecommons.org/licenses/by-nc-nd/4.0 2025-11-23 2025-11-23 31 159 172 10.26360/2025_07