Valuation of equity-linked life insurance contracts via efficient hedging in the BIack–Scholes model

2017 ◽  
pp. 53-76
Author(s):  
Alexander Melnikov ◽  
Amir Nosrati
2015 ◽  
Vol 18 (07) ◽  
pp. 1550047
Author(s):  
ALEXANDER MELNIKOV ◽  
AMIR NOSRATI

The paper deals with efficient hedging problem for defaultable securities with multiple default times and nonzero recovery rates. First, we convert the efficient hedging problem into a Neyman–Pearson problem with composite hypothesis against a simple alternative. Then we apply nonsmooth convex duality to provide a solution in the framework of a “defaultable” Black–Scholes model. Moreover, in the case of zero recovery rates, we find a closed form solution for the problem. As an application, it is shown how to use such type of results in pricing equity-linked life insurance contracts. The results are also demonstrated by some numerical examples.


2008 ◽  
Vol 11 (03) ◽  
pp. 295-323 ◽  
Author(s):  
ALEXANDER MELNIKOV ◽  
YULIYA ROMANYUK

The paper uses the efficient hedging methodology in order to optimally price and hedge equity-linked life insurance contracts whose payoff depends on the performance of several risky assets. In particular, we consider a policy which pays the maximum of the values of n risky assets at some maturity date T, provided that the policyholder survives to T. Such contracts incorporate financial risk, which stems from the uncertainty about future prices of the underlying financial assets, and insurance risk, which arises from the policyholder's mortality. We show how efficient hedging can be used to minimize expected losses from imperfect hedging under a particular risk preference of the hedger. We also prove a probabilistic result, which allows one to calculate analytic pricing formulas for equity-linked payoffs with n risky assets. To illustrate its use, explicit formulas are given for optimal prices and expected hedging losses for payoffs with two risky assets. Numerical examples highlighting the implications of efficient hedging for the management of financial and insurance risks of equity-linked life insurance policies are also provided.


Author(s):  
Lyudmila Nikolayevna Akimova ◽  
Alla Vasilievna Lysachok

The essence of such concepts is “financial service”, “financial ser- vices market”, and “participants of the financial services market”; determined the purpose of state regulation of the financial services market; forms of state regu- lation of the financial services market; financial services that are present in the financial services market; the structure of state regulation bodies of the financial services market in Ukraine is given; The role of state bodies in the regulation of the financial services market was studied; to characterize the regulatory le- gal regulation of the financial services market in Ukraine; the main problems of functioning of the domestic market of financial services are revealed; ways to solve existing problems. It is grounded that the state regulation of financial ser- vices markets consists in the state’s implementation of a set of measures aimed at regulating and overseeing financial services markets to protect the interests of financial services consumers and preventing crisis phenomena. It is concluded that the financial services market is an important element of the development of the economy as a whole, in particular, it concerns not only the state but also society. We must understand that when this market is settled, that is, all bodies that carry out state regulation are competent in their powers, only then will we make informed, effective decisions about the normal and effective functioning of the RFP. It is important that the data of the subjects of control do not overlap, their activities should be fixed at the legislative level. It is also worth bearing in mind that appropriate conditions must be created to create compensatory mecha- nisms in the financial services markets by developing a system for guarante- eing deposits and providing for payments under long-term life insurance contracts, non-state pension provisions, deposits with deposit accounts to credit unions, etс.


2021 ◽  
Vol 26 ◽  
Author(s):  
W. Yousuf ◽  
J. Stansfield ◽  
K. Malde ◽  
N. Mirin ◽  
R. Walton ◽  
...  

Abstract IFRS 17 Insurance Contracts is a new accounting standard currently expected to come into force on 1 January 2023. It supersedes IFRS 4 Insurance Contracts. IFRS 17 establishes key principles that entities must apply in all aspects of the accounting of insurance contracts. In doing so, the Standard aims to increase the usefulness, comparability, transparency and quality of financial statements. A fundamental concept introduced by IFRS 17 is the contractual service margin (CSM). This represents the unearned profit that an entity expects to earn as it provides services. However, as a principles-based standard, IFRS 17 results in entities having to apply significant judgement when determining the inputs, assumptions and techniques it uses to determine the CSM at each reporting period. In general, the Standard resolves broad categories of mismatches which arise under IFRS 4. Notable examples include mismatches between assets recorded at current market value and liabilities calculated using fixed discount rates as well as inconsistencies in the timing of profit recognition over the duration of an insurance contract. However, there are requirements of IFRS 17 that may create economic or accounting mismatches of its own. For example, new mismatches could arise between the measurement of underlying contracts and the corresponding reinsurance held. Additionally, mismatches can still arise between the measurement of liabilities and the assets that support the liabilities. This paper explores the technical, operational and commercial issues that arise across these and other areas focusing on the CSM. As a standard that is still very much in its infancy, and for which wider consensus on topics is yet to be achieved, this paper aims to provide readers with a deeper understanding of the issues and opportunities that accompany it.


Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1350
Author(s):  
Galina Horáková ◽  
František Slaninka ◽  
Zsolt Simonka

The aim of the paper is to propose, and give an example of, a strategy for managing insurance risk in continuous time to protect a portfolio of non-life insurance contracts against unwelcome surplus fluctuations. The strategy combines the characteristics of the ruin probability and the values VaR and CVaR. It also proposes an approach for reducing the required initial reserves by means of capital injections when the surplus is tending towards negative values, which, if used, would protect a portfolio of insurance contracts against unwelcome fluctuations of that surplus. The proposed approach enables the insurer to analyse the surplus by developing a number of scenarios for the progress of the surplus for a given reinsurance protection over a particular time period. It allows one to observe the differences in the reduction of risk obtained with different types of reinsurance chains. In addition, one can compare the differences with the results obtained, using optimally chosen parameters for each type of proportional reinsurance making up the reinsurance chain.


2006 ◽  
Vol 39 (2) ◽  
pp. 171-183 ◽  
Author(s):  
Daniel Bauer ◽  
Rüdiger Kiesel ◽  
Alexander Kling ◽  
Jochen Ruß

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