The aim of this diploma thesis is describe the most common methods of financing pension plans, focusing on some of the methods of fund financing pension plans. To describe the individual methods, their numerical illustration and allow comparison, it is necessary to dispose of necessary instruments. Therefore in the thesis there are constructed the cohort life tables for the Czech Republic. The thesis also deals with the modelling life annuities in continuous time, in particular, with the shape of im- mediate pension anuity factor for Gompertz law of mortality. Namely, this factor is one of the parameters entering the calculation of the individual methods of fund fi- nancing for pension plans.

El presente trabajo de investigación tiene por finalidad identificar los posibles impactos financieros en las empresas de seguros para el ramo de rentas vitalicias por el efecto de transición de la norma aún vigente de los contratos de seguros NIIF 4, a la nueva norma NIIF17, la cual, debido a su complejidad entrará en vigencia en enero 2022. La NIIF 17 presenta mayores indicadores para medir los activos y pasivos de las empresas de seguros, con lo que permitirá la comparabilidad de los EEFF en el sector. Este trabajo se encuentra basado en el sector seguros, específicamente en las empresas que ofrecen productos de rentas vitalicias. Consideramos como tema importante que las empresas de seguros tengan en cuenta los cambios que presentará el uso de esta nueva norma, que, si bien su uso obligatorio se ha prolongado para el 2022, la complejidad de la norma hace necesario un estudio anticipado para evaluar todos los posibles impactos a las diferentes áreas de las compañías con lo que permita anticiparse a las limitaciones de la disponibilidad de recursos que la compañía requiera para la adaptación de la nueva norma. Para validar nuestras hipótesis utilizamos instrumentos cualitativos, tales como entrevistas a profundidad, los cuales fueron realizados a expertos del sector de seguros, miembros de la firma más importante de servicios financieros en el Perú, así como a personas involucradas en el sector. Asimismo, presentaremos tres (3) casos prácticos, que simularan los efectos de la transición de la NIFF, en los cuales evaluaremos el impacto financiero en los Estados Financieros en las empresas del sector seguros. / The objective of this research work is to guide the results on the profitability of insurance companies for the life annuity branch due to the effect of the transition from the current standard of insurance contracts IFRS 4 to the new standard IFRS17. IFRS 17 presents major indicators to measure the assets and liabilities of insurance companies, with the possibility of comparing the Financial Statements in the sector. This work is based on the insurance sector, specifically on companies that offer life annuity products. Consider as an important issue that insurance companies take into account the changes that present the use of this new standard, which although its mandatory use is extended to 2022, the complexity of the rule requires an early study to evaluate all possible effects to the different areas of the companies with what can be anticipated to the limitations of the availability of the resources that the company requires for the adaptation of the new norm. To validate our hypotheses we use qualitative instruments, stories such as in-depth interviews, those that were carried out by experts in the insurance sector, members of the most important financial services firm in Peru, as well as people involved in the sector. Likewise, we will present three (3) practical cases, which will simulate the effects of the transition of the NIFF, in which we evaluate the financial impact in the Financial Statements in the companies of the insurance sector. / Tesis

Policyholder exercise behavior presents an important risk factor for life insurance companies. Yet, most approaches presented in the academic literature – building on value maximizing strategies akin to the valuation of American options – do not square well with observed prices and exercise patterns. Following a recent strand of literature, in order to gain insights on what drives policyholder behavior, I first develop a life-cycle model for variable annuities (VA) with withdrawal guarantees. However, I explicitly allow for outside savings and investments, which considerably affects the results. Specifically, I find that withdrawal patterns after all are primarily motivated by value maximization – but with the important asterisk that the value maximization should be taken out from the policyholders’ perspective accounting for individual tax benefits. To this effect, I develop a risk-neutral valuation methodology that takes these different tax structures into consideration, and apply it to our example contract as well as a representative empirical VA. The results are in line with corresponding outcomes from the life cycle model, and I find that the withdrawal guarantee fee from the empirical product roughly accords with its marginal price to the insurer. I further consider the implications of policyholder behavior on product design. In particular – due to differential tax treatments and contrary to option pricing theory – the marginal value of such guarantees can become negative, even when the holder is a value maximizer. For instance, as I illustrate with both a simple two-period model and an empirical VA, a common death benefit guarantee may indeed yield a negative marginal value to the insurer.

Product risk is important to firms’ enterprise risk management. This dissertation focuses on product risk in the U.S. life insurance and health insurance industries. In particular, we add new dimensions to the measurement of product risk for these industries, and we explore how these industries manage product risk in a context of other enterprise risks. In this dissertation, we identify new product risks, propose new measures, and study the management of these risks. In the life insurance industry, we identify a new type of product risk, the guarantee risk, caused by variable annuities with guaranteed living benefits (VAGLB). We propose a value-at-risk type measure inspired by the risk-based capital C3 Phase II to quantify the guarantee risk. In the health insurance industry, where the degree of uncertainty varies for different types of health insurance policies, we develop four exposure-based risk measures to capture health insurers’ product risks. Then we study how life and health insurers manage product risks (and asset risks) by using capital in the context of other risks and appropriate controls. We add to the literature in the life insurance industry by examining the relationship between capital and risks when the guarantee risk is accounted for. In the health insurance industry, to our knowledge, no similar research on the relationship between capital and risks has been conducted. In view of the current topicality of health insurance, our research therefore adds a timely contribution to the understanding of health insurer risk management in an era of health care reform. Capital structure theories, transaction cost economics, and insurers’ risk-taking behaviors provide the theoretical foundation for our research. As to methodology, we implement standard capital structure models for the life and health insurance industries using data from the National Association of Insurance Commissioners (NAIC) annual filings of life/health insurers and health insurers. Simultaneous equations modeling is used to model life and health insurers’ enterprise risk management. And the estimation is conducted by the generalized estimation equations (GEE). We find that both U.S. life/health insurers and health insurers prudently build up capital as they experience more product risk and asset risk controlling for the other enterprise risks. We also find that life/health insurers may be using derivatives as a partial substitute for capital when managing new product risk caused by VAGLB, the guarantee risk. / text

This dissertation provides a comprehensive and practical analysis of basis risk in the U.S. variable annuity market and examines effective fund mapping strategies to mitigate the level of basis risk while controlling for the associated transaction costs. Variable annuities are personal savings and investment products with long-term guarantees that expose life insurers to extensive financial risks. Liabilities associated with VA guarantees are the largest liability component faced by U.S. life insurers and have raised concerns to VA providers and regulators. And the hedging performance of these guarantee liabilities is impeded by the existence of basis risk. I look into 1,892 registered VA-underlying mutual funds and two VA separate accounts to estimate the basis risk faced by U.S. VA providers at the individual fund level and the separate account level. To evaluate the degree to which basis risk can be mitigated, I consider various proxy instrument sets and assess different variable selection models. The LASSO regression is shown to be most effective at identifying the most suitable (combination of) mapping instruments that minimize basis risk, compared to other test-based and screening-based models. I supplement it with the Sure Independence Screening (SIS) procedure to further limit the number of instruments requested in the hedging strategies, and modify it by introducing the diff LASSO regression to restrict the changes in instrument allocations across rebalancing periods and, therefore, control for transaction costs. I show that VA providers can reduce their exposure to basis risk by applying data analytic techniques in their mapping process, by hedging with ETFs instead of futures contracts, and through diversification at the separate account level. Combining the traditional fund mapping method with the machine learning algorithm, the proposed portfolio mapping strategy is efficient at reducing basis risk in VA separate accounts while controlling for the tractability and transaction costs of the mapping and hedging procedure, and is practical to incorporate newly-developed VA funds, as well as the varying compositions of separate accounts. Overall, this study presents that U.S. VA providers have the ability to mitigate basis risk to a greater extent than the limited literature on this topic has suggested. / Business Administration/Risk Management and Insurance

Approved for public release, distribution is unlimited / The Navy has several tools at its disposal to shape the force, including early separation incentives. This analysis looks at the issues surrounding the separation incentives including the discount rate for government use, the discount rate used by individuals to make a decision (personal discount rate), comparable civilian sector wages for separating personnel, promotion probabilities, and the costs to the government of maintaining personnel until retirement. Using the information provided from researching these topics, a model was created to identify the present value of retirement payments for officers given their current rank, age, and years of service. The model provided a maximum amount the government should be willing to offer to separate an officer early. This model was compared to a second model which determined the minimum amount an officer would be willing to accept to separate before retirement. Recommendations for future methods of shaping the force were provided to maximize savings to the Navy based on data generated from the model. / Captain, United States Marine Corps

Il y a eu 723 000 transactions dans l’immobilier ancien en 2013. Les ventes en viager ontreprésenté entre 0,5% et 1% de ce montant. Le taux de propriétaires de plus de 60 ansdépasse les 70%. Les seniors possèdent 700 milliards d’euros dans l’immobilier. Deux acteurscomposent le viager : un acheteur et un vendeur. Du côté de l’offre, les retraités sont de plusen plus nombreux à vendre en viager puisqu’ils ont besoin de liquidités : « house rich, cashpoor »1. Avec l’allongement de la durée de vie, les seniors doivent financer les frais de santéet le coût de la dépendance. Du côté de la demande, les particuliers comme les institutionnelssont à la recherche de diversifications patrimoniales. On trouve deux fois moins d’acheteursque de vendeurs en viager. Les institutionnels ont investi dans l’immobilier commercial et lesparticuliers dans le résidentiel depuis les années 90. Qu’en est-il pour le viager ? Pourquoi cemode d’acquisition n’a-t-il pas encore séduit les investisseurs ? Nous avons identifié deuxfreins majeurs : l’un financier, l’autre juridique. Nous avons simulé un portefeuille de 300viagers réels en utilisant 3 tables de mortalité. La modélisation de notre base de données apermis de trouver un faible taux de rendement interne sur l’espérance de vie du vendeur.Nous avons trouvé des TRI allant de 1,80% à 5,13% selon la table de mortalité retenue. Pourobtenir un taux de rendement interne de 5% sur l’espérance de vie du vendeur, en prenant lamoyenne des trois tables de mortalité, les investisseurs doivent faire baisser le montant de larente viagère de 17,55%.Nous avons recommandé différentes mesures en direction des pouvoirs publics afind’améliorer la liquidité du viager immobilier :-Déduire le paiement de la rente des autres revenus fonciers.-Déduire les intérêts d’emprunts ayant servi à financer le bouquet des autres revenus fonciers.-Reculer la durée de la clause résolutoire d’un à trois mois.-Ramener à 15 ans l’exonération des plus-values immobilières. / There were 723,000 transactions in existing property in 2013. Life annuity sales accounted forbetween 0.5% and 1% of this amount. The rate of home ownership among the over 60 agegroup exceeds 70%. Senior citizens own 700 million worth of real estate. Life annuity salesinvolve two players: a buyer and a seller. On the supply side, an increasing number ofpensioners are selling their property for life annuities since they need cash: «house rich, cashpoor». With longer life expectancy, senior citizens need to finance health and dependencycosts. On the demand side, both private and institutional investors seek asset diversification.However, there are twice as few buyers than sellers for life annuity property. Since thenineties, institutional investors have invested in commercial property, and private investors inresidential property. What is the situation for life annuity property sales ? We may wonderwhy this form of property acquisition has not so far attracted investors. We have identifiedtwo major hurdles: one financial, the other one legal. We have simulated a portfolio of 300real life annuity sales by using 3 mortality tables. The modeling of our data base enabled us toidentify a weak rate of return on the life expectancy of the seller. We found rates of internalreturn ranging from 1.8% to 5.13% according to the mortality table retained. In order toobtain a 5% rate of internal return on the life expectancy of the seller, taking the average ofthe three mortality tables, investors need to lower the amount of the life annuity by 17.55%.We have recommended different measures to the public authorities in order to improve theliquidity of property life annuities : deduct the payment of the annuity from other propertyincome, deduct the interests of loans used to fund the other property income mix and increasethe duration of the cancellation clause from one to three months.

Quanto EIA是一種具有選擇權特性且能連結至外幣投資的保險年金商品.以往針對權益連動年金所做的文獻中,均未考慮Quanto的特性.本文利用風險中立評價法求算出六種具有Quanto特性的鎖高型權益連動年金商品的評價公式,並進一步利用數值分析來探討各個契約及市場參數對契約價值的影響. / Quanto Ratchet EIAs link to foreign investments and provide options-like properties. The literature covers the pricing of the EIAs that are not quantos. This paper intends to fill the hole. To derive the pricing formulas, we added an exchange rate model as well as a foreign risk-free rate model to the pricing framework of Black and Scholes. Our formulas cover quanto ratchet EIA products for both compound and simple versions that may have a return cap and employ two types of geometric return averaging. We further provide numerical analyses on how contract features and market parameters affect the contract value.

The subject of this thesis is to assess the status of the supplementary pension scheme in the Czech Republic. The work deals with issues of return pension schemes. Examines aspects that affect profitability, in particular the taxation of pension schemes and the investment of pension funds. On the basis of the knowledge generated through analysis of the comparison is made of benefits to be paid at the end of the period -- annuities and lump sum compensation. The analysis performed provides information about which of these benefits is for the client to the pension fund more profitable option. The first part of the work deals with the characteristics of the supplementary pension scheme in the Czech Republic, describes its emergence, evolution, status in the pensions system. In the second chapter are discussed the main aspects that affect its profitability, taxation, and return on pension funds. The third chapter contains the comparsion annuities and lump sum compensation.

The objective of this research was to describe the extent to which Gift Annuity Agreements were used by United States higher education institutions in raising private philanthropic support during the period 1988-93.