Fair valuation of life insurance liabilities: The impact of interest rate guarantees, surrender options, and bonus policies

2000 ◽  
Vol 26 (1) ◽  
pp. 37-57 ◽  
Author(s):  
Anders Grosen ◽  
Peter Løchte Jørgensen
Risks ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 20
Author(s):  
Anna Rita Bacinello ◽  
An Chen ◽  
Thorsten Sehner ◽  
Pietro Millossovich

The purpose of this paper is to conduct a market-consistent valuation of life insurance participating liabilities sold to a population of partially heterogeneous customers under the joint impact of biometric and financial risk. In particular, the heterogeneity between groups of policyholders stems from their offered minimum interest rate guarantees and contract maturities. We analyse the effects of these features on the company’s insolvency while embracing the insurer’s goal to achieve the same expected return for different cohorts of policyholders. Within our extensive numerical analyses, we determine the fair participation rates and other key figures, and discuss the implications for the stakeholders, taking account of various degrees of conservativeness of the insurer when pricing the contracts.


2005 ◽  
Vol 35 (01) ◽  
pp. 275-297 ◽  
Author(s):  
Pierre Devolder ◽  
Inmaculada Domínguez-Fabián

Fair valuation is becoming a major concern for actuaries, especially in the perspective of IAS norms. One of the key aspects in this context is the simultaneous analysis of assets and liabilities in any sound actuarial valuation. The aim of this paper is to illustrate these concepts, by comparing three common ways of giving bonus in life insurance with profit: reversionary, cash or terminal. For each participation scheme, we compute the fair value of the contract taking into account liability parameters (guaranteed interest rate and participation level) as well as asset parameters (market conditions and investment strategy). We find some equilibrium conditions between all those coefficients and compare, from an analytical and numerical point of view, the systems of bonus. Developments are made first in the classical binomial model and then extended in a Black and Scholes economy.


2010 ◽  
Vol 40 (1) ◽  
pp. 65-95 ◽  
Author(s):  
Daniel Bauer ◽  
Daniela Bergmann ◽  
Rüdiger Kiesel

AbstractIn recent years, market-consistent valuation approaches have gained an increasing importance for insurance companies. This has triggered an increasing interest among practitioners and academics, and a number of specific studies on such valuation approaches have been published.In this paper, we present a generic model for the valuation of life insurance contracts and embedded options. Furthermore, we describe various numerical valuation approaches within our generic setup. We particularly focus on contracts containing early exercise features since these present (numerically) challenging valuation problems.Based on an example of participating life insurance contracts, we illustrate the different approaches and compare their efficiency in a simple and a generalized Black-Scholes setup, respectively. Moreover, we study the impact of the considered early exercise feature on our example contract and analyze the influence of model risk by additionally introducing an exponential Lévy model.


2020 ◽  
Vol 218 ◽  
pp. 04012
Author(s):  
Lixin Yang

China’s life insurance industry has just started in the 1990s after the reform and opening up, and its development experience is obviously insufficient, and it has not gone through a very complete life insurance development cycle. No matter from the actuarial technology, the professional level of the agent, the popularization time of the agent system, or the management experience, it is far from the developed areas of the world’s life insurance industry. In addition, many professional investors are worried about the future prospects of China’s life insurance industry because of the long-term existence of a low interest rate environment. However, after reading detailed materials (research papers, books, reviews, etc.), the final conclusion of this report is different from that of other too cautious investors . This report holds that: the current situation and prospect of China’s life insurance H shares meet the conditions of Davis double-click, and the main investors in the secondary market will encounter a unique opportunity to obtain excess returns by investing in domestic insurance H shares. On the level of objective factors, we analyze from the following four aspects: (I) the potential demand for life insurance in China will continue to increase significantly in the future; (II) most of the representative life insurance companies in China have low valuations; (III) the possible style switching in China’s secondary market is conducive to the rise of blue chips such as life insurance companies; (IV) from the long-term perspective of history, the insurance index has significantly outperformed the Shanghai Composite Index, which represents the market. In terms of subjective factors, we consider them from the following four perspectives: (I) the development and problems of life insurance industry in Japan and Taiwan; (II) on the liability side, China’s life insurance industry vigorously develops new products with high business value, so as to resist the impact of low interest rates; (III) the diversification of asset allocation at the investment end of China’s life insurance industry can make the profit of life insurance industry not limited by the interest rate; (IV) the change of service quality at the supply side is conducive to the life insurance companies to tap the potential market demand in China.


2005 ◽  
Vol 35 (1) ◽  
pp. 275-297
Author(s):  
Pierre Devolder ◽  
Inmaculada Domínguez-Fabián

Fair valuation is becoming a major concern for actuaries, especially in the perspective of IAS norms. One of the key aspects in this context is the simultaneous analysis of assets and liabilities in any sound actuarial valuation. The aim of this paper is to illustrate these concepts, by comparing three common ways of giving bonus in life insurance with profit: reversionary, cash or terminal. For each participation scheme, we compute the fair value of the contract taking into account liability parameters (guaranteed interest rate and participation level) as well as asset parameters (market conditions and investment strategy). We find some equilibrium conditions between all those coefficients and compare, from an analytical and numerical point of view, the systems of bonus. Developments are made first in the classical binomial model and then extended in a Black and Scholes economy.


Author(s):  
Douglas C. Doll ◽  
C. Phil Elam ◽  
James E. Hohmann ◽  
Jacqueline M. Keating ◽  
Douglas S. Kolsrud ◽  
...  

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