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We present an approach to market-consistent multi-period valuation of insurance liability cash flows based on a two-stage valuation procedure. First, a portfolio of traded financial instrument aimed at replicating the liability cash flow is…

Risk Management · Quantitative Finance 2016-07-15 Hampus Engsner , Mathias Lindholm , Filip Lindskog

The aim of this paper is to define the market-consistent multi-period value of an insurance liability cash flow in discrete time subject to repeated capital requirements, and explore its properties. In line with current regulatory…

Risk Management · Quantitative Finance 2018-08-13 Hampus Engsner , Kristoffer Lindensjö , Filip Lindskog

We study market-consistent valuation of liability cash flows motivated by current regulatory frameworks for the insurance industry. Building on the theory on multiple-prior optimal stopping we propose a valuation functional with sound…

Pricing of Securities · Quantitative Finance 2021-09-02 Hampus Engsner , Filip Lindskog , Julie Thoegersen

This paper investigates market-consistent valuation of insurance liabilities in the context of, for instance, Solvency II and to some extent IFRS 4. We propose an explicit and consistent framework for the valuation of insurance liabilities…

Pricing of Securities · Quantitative Finance 2011-01-04 Christoph Moehr

Variable Annuity (VA) products expose insurance companies to considerable risk because of the guarantees they provide to buyers of these products. Managing and hedging these risks requires insurers to find the value of key risk metrics for…

Computational Finance · Quantitative Finance 2017-01-17 Seyed Amir Hejazi , Kenneth R. Jackson , Guojun Gan

This paper describes a general approach for stochastic modeling of assets returns and liability cash-flows of a typical pensions insurer. On the asset side, we model the investment returns on equities and various classes of fixed-income…

Risk Management · Quantitative Finance 2020-05-27 Sergio Alvares Maffra , John Armstrong , Teemu Pennanen

A method for calculating multi-portfolio time consistent multivariate risk measures in discrete time is presented. Market models for $d$ assets with transaction costs or illiquidity and possible trading constraints are considered on a…

Risk Management · Quantitative Finance 2017-01-27 Zachary Feinstein , Birgit Rudloff

Recent theoretical results establish that time-consistent valuations (i.e. pricing operators) can be created by backward iteration of one-period valuations. In this paper we investigate the continuous-time limits of well-known actuarial…

Pricing of Securities · Quantitative Finance 2011-09-09 Antoon Pelsser

Current approaches to fair valuation in insurance often follow a two-step approach, combining quadratic hedging with application of a risk measure on the residual liability, to obtain a cost-of-capital margin. In such approaches, the…

Risk Management · Quantitative Finance 2023-06-22 Karim Barigou , Valeria Bignozzi , Andreas Tsanakas

We consider the problem of determining a sequence of payments among a set of entities that clear (if possible) the liabilities among them. We formulate this as an optimal control problem, which is convex when the objective function is, and…

Computational Finance · Quantitative Finance 2020-05-20 Shane Barratt , Stephen Boyd

We introduce a neural network approach for assessing the risk of a portfolio of assets and liabilities over a given time period. This requires a conditional valuation of the portfolio given the state of the world at a later time, a problem…

Risk Management · Quantitative Finance 2021-05-27 Patrick Cheridito , John Ery , Mario V. Wüthrich

We study a discrete-time multi-period portfolio optimization problem under an explicit constraint on the Deviation Conditional Value-at-Risk (DCVaR), defined as the excess of Conditional Value-at-Risk over expected terminal wealth. The…

Portfolio Management · Quantitative Finance 2026-04-17 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Underwriting is one of the important stages in an insurance company. The insurance company uses different factors to classify the policyholders. In this study, we apply several machine learning models such as nearest neighbour and logistic…

Applications · Statistics 2024-11-04 Marjan Qazvini

The underlying stochastic nature of the requirements for the Solvency II regulations has introduced significant challenges if the required calculations are to be performed correctly, without resorting to excessive approximations, within…

Computational Finance · Quantitative Finance 2014-06-30 Mark Tucker , J. Mark Bull

When faced with a new customer, many factors contribute to an insurance firm's decision of what offer to make to that customer. In addition to the expected cost of providing the insurance, the firm must consider the other offers likely to…

Machine Learning · Computer Science 2024-08-05 Edward James Young , Alistair Rogers , Elliott Tong , James Jordon

Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization,…

Computation · Statistics 2020-07-09 H. M. Kroetz , M. Moustapha , A. T. Beck , B. Sudret

In this paper we study a class of insurance products where the policy holder has the option to insure $k$ of its annual Operational Risk losses in a horizon of $T$ years. This involves a choice of $k$ out of $T$ years in which to apply the…

Risk Management · Quantitative Finance 2013-12-03 Rodrigo S. Targino , Gareth W. Peters , Georgy Sofronov , Pavel V. Shevchenko

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

Risk Management · Quantitative Finance 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

Casualty insurance-linked securities (ILS) are appealing to investors because the underlying insurance claims, which are directly related to resulting security performance, are uncorrelated with most other asset classes. Conversely,…

Methodology · Statistics 2025-07-09 Nathaniel Haines , Conor Goold , J. Mark Shoun

To make medium- and long-term insurance products attractive, it is essential to enable participation in stock market returns. However, to eliminate downside risk, guarantees must be included, which naturally leads to the challenge of…

Mathematical Finance · Quantitative Finance 2025-10-09 Raquel M. Gaspar , Thorsten Schmidt
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