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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

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

Cost-of-capital valuation is a well-established approach to the valuation of liabilities and is one of the cornerstones of current regulatory frameworks for the insurance industry. Standard cost-of-capital considerations typically rely on…

Risk Management · Quantitative Finance 2026-05-13 Hansjörg Albrecher , Filip Lindskog , Hervé Zumbach

This paper is motivated by computational challenges arising in multi-period valuation in insurance. Aggregate insurance liability cashflows typically correspond to stochastic payments several years into the future. However, insurance…

General Economics · Economics 2023-01-24 Nils Engler , Filip Lindskog

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

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

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

This paper sets out a framework for the valuation of insurance liabilities that is intended to be economically realistic, elementary, reasonably practically applicable, and as a special case to provide a basis for the valuation in…

Pricing of Securities · Quantitative Finance 2025-06-03 Christoph Moehr

Loss Given Default (LGD) is a key risk parameter in determining a bank's regulatory capital. During LGD-estimation, realised recovery cash flows are to be discounted at an appropriate rate. Regulatory guidance mandates that this rate should…

Risk Management · Quantitative Finance 2025-04-01 Janette Larney , Arno Botha , Gerrit Lodewicus Grobler , Helgard Raubenheimer

Even in the simple one-factor credit portfolio model that underlies the Basel II regulatory capital rules coming into force in 2007, the exact contributions to credit value-at-risk can only be calculated with Monte-Carlo simulation or with…

Other Condensed Matter · Physics 2008-12-10 Susanne Emmer , Dirk Tasche

We analyze multiline pricing and capital allocation in equilibrium no-arbitrage markets. Existing theories often assume a perfect complete market, but when pricing is linear, there is no diversification benefit from risk pooling and…

Risk Management · Quantitative Finance 2020-08-31 John A. Major , Stephen J. Mildenhall

We propose a stochastic model allowing property and casualty insurers with multiple business lines to measure their liabilities for incurred claims risk and calculate associated capital requirements. Our model includes many desirable…

Risk Management · Quantitative Finance 2021-12-07 Carlos Andrés Araiza Iturria , Frédéric Godin , Mélina Mailhot

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

Systemic risk refers to the risk that the financial system is susceptible to failures due to the characteristics of the system itself. The tremendous cost of systemic risk requires the design and implementation of tools for the efficient…

Risk Management · Quantitative Finance 2021-04-06 Zachary Feinstein , Birgit Rudloff , Stefan Weber

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

This paper aims to extend downside protection to a hedge fund investment portfolio based on shared loss fee structures that have become increasing popular in the market. In particular, we consider a second tranche and suggest the purchase…

Mathematical Finance · Quantitative Finance 2020-11-30 David Saunders , Luis Seco , Markus Senn

We investigate the quantification of demographic risk in a framework consistent with the market-consistent valuation imposed by Solvency II. We provide compact formulas for evaluating inflows and outflows of a portfolio of insurance…

Risk Management · Quantitative Finance 2023-07-07 Francesco Della Corte , Gian Paolo Clemente , Nino Savelli

The Basel II internal ratings-based (IRB) approach to capital adequacy for credit risk plays an important role in protecting the Australian banking sector against insolvency. We outline the mathematical foundations of regulatory capital for…

Risk Management · Quantitative Finance 2016-07-26 Marek Rutkowski , Silvio Tarca

The practice of valuation by marking-to-market with current trading prices is seriously flawed. Under leverage the problem is particularly dramatic: due to the concave form of market impact, selling always initially causes the expected…

General Finance · Quantitative Finance 2012-08-28 Fabio Caccioli , Jean-Philippe Bouchaud , J. Doyne Farmer

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

Pricing of Securities · Quantitative Finance 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano
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