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Impact of combination methods on extreme precipitation projections 组合方法对极端降水预测的影响
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-04-24 DOI: 10.1017/s174849952300009x
Sébastien Jessup, M. Mailhot, M. Pigeon
Climate change is expected to increase the frequency and intensity of extreme weather events. To properly assess the increased economical risk of these events, actuaries can gain in relying on expert models/opinions from multiple different sources, which requires the use of model combination techniques. From non-parametric to Bayesian approaches, different methods rely on varying assumptions potentially leading to very different results. In this paper, we apply multiple model combination methods to an ensemble of 24 experts in a pooling approach and use the differences in outputs from the different combinations to illustrate how one can gain additional insight from using multiple methods. The densities obtained from pooling in Montreal and Quebec City highlight the significant changes in higher quantiles obtained through different combination approaches. Areal reduction factor and quantile projected changes are used to show that consistency, or lack thereof, across approaches reflects the uncertainty of combination methods. This shows how an actuary using multiple expert models should consider more than one combination method to properly assess the impact of climate change on loss distributions, seeing as a single method can lead to overconfidence in projections.
预计气候变化将增加极端天气事件的频率和强度。为了正确评估这些事件增加的经济风险,精算师可以依靠来自多个不同来源的专家模型/意见,这需要使用模型组合技术。从非参数方法到贝叶斯方法,不同的方法依赖于不同的假设,可能导致非常不同的结果。在本文中,我们将多种模型组合方法应用于池化方法中的24位专家的集合,并使用不同组合的输出差异来说明如何通过使用多种方法获得额外的见解。从蒙特利尔和魁北克市收集得到的密度突出了通过不同组合方法获得的较高分位数的显著变化。面积缩减因子和分位数预估变化表明,不同方法之间的一致性或缺乏一致性反映了组合方法的不确定性。这表明,使用多个专家模型的精算师应该考虑多种组合方法来正确评估气候变化对损失分布的影响,因为单一方法可能导致对预测的过度自信。
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引用次数: 1
How do empirical estimators of popular risk measures impact pro-cyclicality? 流行风险度量的经验估计量如何影响顺周期性?
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-03-29 DOI: 10.1017/s1748499523000039
M. Bräutigam, M. Kratz
Risk measurements are clearly central to risk management, in particular for banks, (re)insurance companies, and investment funds. The question of the appropriateness of risk measures for evaluating the risk of financial institutions has been heavily debated, especially after the financial crisis of 2008/2009. Another concern for financial institutions is the pro-cyclicality of risk measurements. In this paper, we extend existing work on the pro-cyclicality of the Value-at-Risk to its main competitors, Expected Shortfall, and Expectile: We compare the pro-cyclicality of historical quantile-based risk estimation, taking into account the market state. To characterise the latter, we propose various estimators of the realised volatility. Considering the family of augmented GARCH(p, q) processes (containing well-known GARCH models and iid models, as special cases), we prove that the strength of pro-cyclicality depends on the three factors: the choice of risk measure and its estimators, the realised volatility estimator and the model considered, but, no matter the choices, the pro-cyclicality is always present. We complement this theoretical analysis by performing simulation studies in the iid case and developing a case study on real data.
风险度量显然是风险管理的核心,对银行、(再)保险公司和投资基金来说尤其如此。评估金融机构风险的风险措施的适当性问题一直备受争议,特别是在2008/2009年金融危机之后。金融机构的另一个担忧是风险衡量的顺周期性。在本文中,我们将现有的关于风险价值的顺周期性的工作扩展到它的主要竞争对手,预期不足和预期:我们比较了基于历史分位数的风险估计的顺周期性,考虑到市场状态。为了描述后者,我们提出了实现波动率的各种估计。考虑增广GARCH(p, q)过程族(包含众所周知的GARCH模型和iid模型,作为特殊情况),我们证明了顺周期性的强度取决于三个因素:风险度量及其估计量的选择,实现波动率估计量和所考虑的模型,但是,无论选择如何,顺周期性总是存在的。我们通过在iid案例中进行模拟研究和对真实数据进行案例研究来补充这一理论分析。
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引用次数: 0
On Bayesian credibility mean for finite mixture distributions 有限混合分布的贝叶斯可信度均值
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-03-29 DOI: 10.1017/s1748499523000076
Ehsan Jahanbani, Amir T. Payandeh Najafabadi, Khaled Masoumifard
Consider the problem of determining the Bayesian credibility mean $E(X_{n+1}|X_1,cdots, X_n),$ whenever the random claims $X_1,cdots, X_n,$ given parameter vector $boldsymbol{Psi},$ are sampled from the K-component mixture family of distributions, whose members are the union of different families of distributions. This article begins by deriving a recursive formula for such a Bayesian credibility mean. Moreover, under the assumption that using additional information $Z_{i,1},cdots,Z_{i,m},$ one may probabilistically determine a random claim $X_i$ belongs to a given population (or a distribution), the above recursive formula simplifies to an exact Bayesian credibility mean whenever all components of the mixture distribution belong to the exponential families of distributions. For a situation where a 2-component mixture family of distributions is an appropriate choice for data modelling, using the logistic regression model, it shows that: how one may employ such additional information to derive the Bayesian credibility model, say Logistic Regression Credibility model, for a finite mixture of distributions. A comparison between the Logistic Regression Credibility (LRC) model and its competitor, the Regression Tree Credibility (RTC) model, has been given. More precisely, it shows that under the squared error loss function, it shows the LRC’s risk function dominates the RTC’s risk function at least in an interval which about $0.5.$ Several examples have been given to illustrate the practical application of our findings.
考虑确定贝叶斯可信度均值$E(X_{n+1}|X_1,cdots,X_n),$的问题,只要随机声明$X_1,/cdots,X_n,$给定的参数向量$boldsymbol{Psi},$是从K分量混合分布族中采样的,其成员是不同分布族的并集。本文首先推导出这样一个贝叶斯可信度均值的递归公式。此外,在假设使用附加信息$Z_{i,1},cdots,Z_{i,m},$one可以概率地确定随机声明$X_i$属于给定的总体(或分布)的情况下,只要混合分布的所有分量都属于指数分布族,上述递归公式就简化为精确的贝叶斯可信度均值。对于双组分混合分布族是数据建模的合适选择的情况,使用逻辑回归模型,它表明:如何利用这些额外信息来推导有限混合分布的贝叶斯可信度模型,比如逻辑回归可信度模型。将逻辑回归可信度(LRC)模型与其竞争对手回归树可信度(RTC)模型进行了比较。更准确地说,它表明,在平方误差损失函数下,它表明LRC的风险函数至少在大约0.5美元的区间内主导RTC的风险函数。$已经给出了几个例子来说明我们的发现的实际应用。
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引用次数: 0
Keng Seng Tan 1970–2023 In Memoriam Keng Seng Tan 1970–2023纪念
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-03-01 DOI: 10.1017/S1748499523000040
Marion Hardy, P. Boyle
The editorial is dedicated to the memory of Ken Seng Tan, who passed away on January 1, 2023, at the height of his academic career. He was one of the most influential and prolific actuarial researchers of the last three decades.
这篇社论是为了纪念Tan Ken Seng,他于2023年1月1日去世,当时正值学术生涯的巅峰。他是过去三十年中最具影响力和影响力的精算研究人员之一。
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引用次数: 0
Benchmarks for the benchmark approach to valuing long-term insurance liabilities: comment on Fergusson & Platen (2023) 评估长期保险负债的基准方法的基准:对Fergusson & Platen(2023)的评论
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-03-01 DOI: 10.1017/S1748499523000052
Daniel Bauer
Abstract This article comments on the paper “Less-expensive long-term annuities linked to mortality, cash and equity” by Kevin Fergusson and Eckard Platen, appearing in this issue of the Annals of Actuarial Science. It adds two perspectives to their thought-provoking contribution. The first is a similarity to some recent work in quantitative finance on “deep hedging” that leverages machine learning models to find the cheapest replication strategy for a derivative payoff in a largely model-free setting. The second perspective engages with some of the interesting implications of their approach and draws parallels to literature in asset pricing and macro-finance. These perspectives point to the potential need for more fundamental shifts than the authors of the paper are advertising.
摘要本文评论了Kevin Fergusson和Eckard Platen发表在本期《精算学年鉴》上的论文“与死亡率、现金和权益相关的较低成本长期年金”。这为他们发人深省的贡献增添了两个视角。第一个是与量化金融中最近关于“深度对冲”的一些工作相似,该工作利用机器学习模型在基本上无模型的环境中找到最便宜的衍生品回报复制策略。第二个视角涉及他们方法的一些有趣含义,并与资产定价和宏观金融方面的文献进行了比较。这些观点表明,与论文作者的广告相比,可能需要更根本的转变。
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引用次数: 0
An attribution analysis of investment risk sharing in collective defined contribution schemes 集体缴费计划投资风险分担的归因分析
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-02-28 DOI: 10.1017/s1748499523000015
Andres Barajas-Paz, C. Donnelly
A quantification of the financial implications of the design of a funded, collective defined contribution (CDC) pension scheme is presented and illustrated. It is done through an attribution analysis, which allows the importance of various elements of CDC scheme design to be determined. The model of a CDC scheme analysed is based lightly on the first CDC scheme set to be approved in the UK. In the CDC scheme analysed, contributions are fixed and the initial benefit accrued by each contribution is fixed. Once accrued, benefits are subsequently adjusted annually in response to changes in assumptions and returns. An attribution of the benefit payments shows that this design gives higher benefits to the first generations and lower benefits to the last generations, for a scheme which starts with no members. The contributions paid also affect the balance of benefits paid between generations. Too high a contribution is to the advantage of the first generations. Too low a contribution is in the interests of the later generations. The conclusion, within the simple model considered, is that a constant benefit accrual is an important design choice. Its financial consequences across all generations should be carefully analysed, if it is intended to be implemented. Additionally, contributions should be reviewed regularly in such a CDC scheme, to ensure that cross-subsidies are not borne excessively by particular generations.
提出并举例说明了受资助的集体固定缴款(CDC)养老金计划设计的财务影响。它是通过归因分析来完成的,这使得可以确定CDC方案设计的各个要素的重要性。所分析的美国疾病控制与预防中心计划的模式是以英国将批准的第一个美国疾病控制和预防中心计划为基础的。在所分析的疾病控制与治疗计划中,供款是固定的,每次供款产生的初始福利是固定的。一旦累积,福利随后每年根据假设和回报的变化进行调整。福利金的归属表明,对于一个没有成员的计划,这种设计给第一代人带来了更高的福利,给最后一代人带来的福利更低。缴纳的会费也会影响代际福利的平衡。太高的贡献对第一代人有利。太低的贡献符合后代的利益。在所考虑的简单模型中,得出的结论是,恒定的应计收益是一个重要的设计选择。如果要实施它,就应该仔细分析它对所有世代的财务影响。此外,在疾病控制与预防中心的计划中,应定期审查捐款,以确保交叉补贴不会由特定世代过度承担。
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引用次数: 0
On impact of largest claims reinsurance treaties on the ceding company’s loss reserve 论最大索赔再保险合同对分出公司损失准备金的影响
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-02-01 DOI: 10.1017/s1748499522000215
Fatemeh Atatalab, Amir T. Payandeh Najafabadi
This article examines the impact of the largest claims reinsurance treaties on loss reserve of the ceding company. The largest claims reinsurance, known as LCR, and ECOMOR reinsurance treaties are considered to be the two most appropriate reinsurance treaties for large or catastrophe claims. Then, it studies the impact of such treaties on loss reserves. Through a simulation study, it shown that, under a more general situation, the LCR treaty can be a more efficient (in some sense, see below) treaty than the ECOMOR treaty for the ceding company.
本文考察了最大索赔再保险条约对再保险分出公司损失准备金的影响。最大的索赔再保险,即LCR和ECOMOR再保险条约被认为是大额或灾难索赔最合适的两个再保险条约。然后,研究了此类条约对损失准备金的影响。通过模拟研究,它表明,在更普遍的情况下,对于割让公司来说,LCR条约可能比ECOMOR条约更有效(在某种意义上,见下文)。
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引用次数: 0
Analysis of option-like fund performance fees in asset management via Monte Carlo actuarial distortion pricing 基于蒙特卡洛精算失真定价的资产管理类期权基金绩效费分析
Q3 BUSINESS, FINANCE Pub Date : 2023-01-09 DOI: 10.1017/s1748499522000203
Gareth W. Peters, Mantana Chudtong, Andrea De Gaetano
Abstract A detailed analysis of management and performance fees for asset managers and investment funds is undertaken. While fund fees are considered as a cost of capital for investors, the structuring of such fee mechanisms in a fund can also influence a fund manager’s decisions and investment strategy, thereby also influencing the investment performance of the investors funds. The study undertaken will allow for an assessment of the effect of fee structures and the potential for asymmetric incentives to arise that may promote adverse risk-taking behaviours by the fund manager, to the detriment of the investor or retiree who places a portion of their retirement savings into such a managed fund with such fee structures. As such, understanding the mechanism of fee charging as well as pricing the fees correctly is vital. An exploration of the application of actuarial distortion pricing methods for complete and incomplete market valuation is performed on a variety of path-dependent option-like performance fee structures for various funds in the European and American markets. Furthermore, several scenario analysis and sensitivity studies are undertaken. The class of Net Asset Value models adopted are Lévy processes, and the pricing is performed via Monte Carlo techniques.
摘要对资产管理公司和投资基金的管理费和绩效费进行了详细的分析。虽然基金费用被视为投资者的资金成本,但基金中这种收费机制的结构也会影响基金经理的决策和投资策略,从而也影响投资者基金的投资业绩。所进行的研究将能够评估收费结构的影响和可能产生的不对称激励,这些不对称激励可能会促进基金经理的不利冒险行为,从而损害将部分退休储蓄投入具有这种收费结构的管理基金的投资者或退休人员。因此,了解收费机制以及正确定价是至关重要的。在欧洲和美国市场的各种基金的各种路径依赖的期权类绩效费用结构上,对完全和不完全市场估值的精算扭曲定价方法的应用进行了探索。此外,还进行了若干情景分析和敏感性研究。所采用的资产净值模型是lsamvy过程,定价是通过蒙特卡罗技术执行的。
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引用次数: 0
Long-term option pricing with a lower reflecting barrier 具有较低反映障碍的长期期权定价
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2023-01-05 DOI: 10.1017/S1748499522000227
R. Thomas
This paper considers the pricing of long-term options on assets such as housing, where either government intervention or the economic nature of the asset limits large falls in prices. The observed asset price is modelled by a geometric Brownian motion (“the notional price”) reflected at a lower barrier. The resulting observed price has standard dynamics but with localised intervention at the barrier, which allows arbitrage with interim losses; this is funded by the government’s unlimited powers of intervention, and its exploitation is subject to credit constraints. Despite the lack of an equivalent martingale measure for the observed price, options on this price can be expressed as compound options on the arbitrage-free notional price, to which standard risk-neutral arguments can be applied. Because option deltas tend to zero when the observed price approaches the barrier, hedging with the observed price gives the same results as hedging with the notional price and so exactly replicates option payoffs. Hedging schemes are not unique, with the cheapest scheme for any derivative being the one which best exploits the interventions at the barrier. The price of a put is clear: direct replication has a lower initial cost than synthetic replication, and the replication portfolio always has positive value. The price of a call is ambiguous: synthetic replication has a lower initial cost than direct replication, but the replication portfolio may give interim losses. So the preferred replication strategy (and hence price) of a call depends on what margin payments need to be made on these losses.
本文考虑了住房等资产的长期期权定价,其中政府干预或资产的经济性质限制了价格的大幅下跌。观察到的资产价格由几何布朗运动(“名义价格”)建模,反映在较低的障碍处。由此观察到的价格具有标准动态,但在障碍处进行了局部干预,从而允许套利,同时遭受中期损失;这是由政府不受限制的干预力量提供资金的,其开发受制于信贷约束。尽管对观察到的价格缺乏等效的鞅度量,但该价格的期权可以表示为无套利名义价格的复合期权,可以应用标准风险中性参数。因为当观察到的价格接近障碍时,期权delta趋于零,用观察到的价格进行套期保值与用名义价格进行套期保值的结果相同,因此完全复制了期权收益。对冲方案并非独一无二,对于任何衍生品而言,最便宜的方案都是最能利用价格障碍处的干预的方案。看跌期权的价格是明确的:直接复制的初始成本低于合成复制,并且复制投资组合始终具有正价值。调用的价格是不明确的:合成复制的初始成本低于直接复制,但复制组合可能会造成临时损失。因此,看涨期权的首选复制策略(以及价格)取决于需要为这些损失支付多少保证金。
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引用次数: 1
Managing the risk of mortality shocks 管理死亡率冲击的风险
IF 1.7 Q3 BUSINESS, FINANCE Pub Date : 2022-11-01 DOI: 10.1017/S1748499522000197
M. Dacorogna, Runhuan Feng, J. S. Li, A. Olivieri
Topics that have been published in this special issue include: direct effects on liabilities linked to mortality and longevity risks;capital market and insurance innovations for pandemic risk management;impacts on the provision of, and demand for, healthcare;and changes in investor/policyholder behaviour. When looking at the change in annuity and life insurance policy value, they find a drop of 9% of the annuity values in case of Polish male and an increase of 29% of the life insurance policy value for Italian males. G.P. Clemente, D. Della Corte and N. Savelli (A stochastic model for capital requirement assessment for mortality and longevity risk, focusing on idiosyncratic and trend components) argue that assessment of capital requirements must be based on actuarial models that are able to capture structural changes and extreme shocks so that insurance companies can cope with the unfavourable effects of new adverse demographic scenarios.
本期特刊发表的专题包括:对与死亡和长寿风险有关的负债的直接影响;大流行病风险管理方面的资本市场和保险创新;对保健服务的提供和需求的影响;以及投资者/投保人行为的变化。当观察年金和人寿保险单价值的变化时,他们发现波兰男性的年金价值下降了9%,而意大利男性的人寿保险单价值增加了29%。G.P. Clemente, D. Della Corte和N. Savelli(一种针对死亡率和寿命风险的资本需求评估的随机模型,侧重于特质和趋势成分)认为,资本需求的评估必须基于能够捕捉结构变化和极端冲击的精算模型,以便保险公司能够应对新的不利人口情景的不利影响。
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引用次数: 0
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Annals of Actuarial Science
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