On the Risk-Neutral Valuation of Life Insurance Contracts with Numerical Methods in View

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.

2021 ◽  
Vol 16 (2) ◽  
pp. 355-376
Author(s):  
Jelena Tomašević ◽  
Milijana Novović-Burić ◽  
Ljiljana Kašćelan ◽  
Vladimir Kašćelan

The growing importance of life insurance in the world imposes a greater need for research in this area, particularly in the Western Balkans where the trend of growth has been closely accompanied by life insurance for the past two decades. Taking into consideration that life insurance companies are significant participants in the financial market, this research paper examines the impact of the premium reserve on the volume of financial investments of life insurance companies in Western Balkan countries, based on aggregate data on country level. In order to test its effect, linear correlation and regression models were used, based on data collected for the period 2006-2016. Additionally, comparative analysis was used to compare the position of life insurance companies in financial markets. The results obtained by applying correlation and regression analysis showed that there is a strong positive correlation between premium reserve and financial investments in all of the aforementioned countries in the region. This result is an important strategic guideline for the regulators and policymakers to make advancements in the life insurance sector as well as in the financial market of the Western Balkans.


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.


2016 ◽  
Vol 46 (3) ◽  
pp. 605-626 ◽  
Author(s):  
An Chen ◽  
Peter Hieber

AbstractIn a typical equity-linked life insurance contract, the insurance company is entitled to a share of return surpluses as compensation for the return guarantee granted to the policyholders. The set of possible contract terms might, however, be restricted by a regulatory default constraint — a fact that can force the two parties to initiate sub-optimal insurance contracts. We show that this effect can be mitigated if regulatory policy is more flexible. We suggest that the regulator implement a traffic light system where companies are forced to reduce the riskiness of their asset allocation in distress. In a utility-based framework, we show that the introduction of such a system can increase the benefits of the policyholder without deteriorating the benefits of the insurance company. At the same time, default probabilities (and thus solvency capital requirements) can be reduced.


2021 ◽  
Vol 9 (07) ◽  
pp. 324-334
Author(s):  
Oluwaleye, Taiwo Olarinre ◽  
◽  
Kolapo, Funso Tajudeen (PhD) ◽  
Ajayi, Foluso Isaac ◽  
◽  
...  

Evidence from the past studies revealed that capital structure has an impact on the firm performance. This research appraises the impact of capital structure on the performance of quoted life insurance companies in Nigeria from 2010 to 2019. The researchers used the panel cointegration model, autoregressive dynamic lag error correction model and pair wise granger causality test to measure the relationship among the variables. The study revealed that capital structure and firm performance has a long-run relationshipand 81% long run disequilibrium is corrected within a year. It was also apparent that there is a significant short run relationship between liquidity of life insurance and return on asset. The Granger causality outcome also shows that bidirectional causality exists between firm size (SIZE) and profitability (ROA) in the short run. We conclude that a large size of life insurance firm has more scope to make more profit in Nigeria context within the study period. The study recommended that to maximize firm’s performance managers must endeavor to obtain and maintain an optimum capital structure level among others.


2020 ◽  
Vol 1 (1) ◽  
pp. 36-46 ◽  
Author(s):  
Rajeev Kumar Ranjan ◽  
Shoaib Alam Siddiqui ◽  
Nitin Thapar ◽  
Shyam Singh Chauhan

The paper attempts to find the impact of technology on the purchase behavior of consumers for insurance products. With the use of technology and e-commerce the adoption of insurance products had undergone a transformation. With the entry of private players the insurance sector has become very competitive (Jampala & Rao, 2005). With increased competition the life insurance industry is adopting innovative marketing practices to tap a larger market; the companies therefore are developing their capabilities of access-based penetration, distribution and sale to customers. The advances in technology have changed the way insurance products were marketed in India. Apart from the traditional agency channel, the companies are also exploring alternative channels like brokers, rural channels, online marketing, and e-commerce, etc. The personal selling based channels are the new innovative methods offering an effective reach at a minimum cost. To analyze the consumer purchase behavior the study used two-way ANOVA to determine the effect of two nominal predictor variables on a continuous outcome variable. The results of the study will assist the life insurance companies in improving their operations and efficiency.


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