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Although annuitization provides insurance against longevity risk that can benefit households, researchers have uncovered an annuitization puzzle, which suggests households are reluctant to annuitize their wealth. This study contributes to the discussions on the annuitization puzzle by examining investor sophistication and owning annuities in non-retirement accounts.

The study utilizes data from the 2018 U S National Financial Capability Study (NFCS). The empirical analyses are based on logistic regression estimates of annuity ownership on investor sophistication. Interpretations are based on odds ratios.

The findings indicate that investor sophistication contributes to the annuity puzzle. Investors with low objective and high subjective investment knowledge (overconfident investors) are more likely to own annuities compared to those with low objective and low subjective investment knowledge. However, investors with high objective and low subjective investment knowledge (under-confident investors) are less likely to choose annuity ownership compared to those with low objective and low subjective investment knowledge. The findings and ensuing discussion highlight the importance of annuitization when planning for retirement, with implications for financial service professionals.

The measure of investor sophistication does not assess the difficulty level of each financial knowledge question. The questions used to construct the investor sophistication variable are based on general investment knowledge. In addition, the annuity ownership variable used in this study pertains to investments outside retirement accounts. Despite these limitations, the findings highlight the importance of annuitization when planning for retirement.

Unlike prior studies, the authors consider four mutually exclusive measures of investor sophistication constructed from measures of objective and subjective investment knowledge to understand the effect of investor sophistication on annuity ownership in the United States.

The purpose of this research is to ascertain the extent to which the income capitalization approach reflects the pattern of emerging rental income in Enugu property market.

The survey research design was used in this study. Data from the field was gathered through a data collection pro forma administered to 40 valuers in Enugu metropolis in the manner of conducting interviews. This study used key valuation details of 54 sampled income generating properties valued by the respondent valuers between 2015 and 2022 using the income capitalization approach. The same sampled properties were then revalued by the researchers using annuity due assumption/formulas of the income capitalization approach. Descriptive and inferential statistics were used to analyze the data.

The study revealed that the income capitalization approach used by most valuers in Enugu does not reflect the property rental income pattern prevailing in Enugu property market where rents are paid in advance. The study further shows that the application of the income capitalization approach for valuation of annually in-advance property rental income cash flow results in a higher capital value of 3.49% in Enugu property market.

The limitations to this study are that past valuation done by valuers were used in the analysis instead of actual property sales and a relatively small number of sampled valuers and properties are used in the study The implication of the study is that ordinary annuity assumptions or formulas is inaccurate and not suitable for valuation of income generating property in an emerging market like Nigerian where timing of cash flow is annually in advance. Based on the result of this study it seems that ordinary annuity approach negate the principle of estimating value using income capitalization method by converting future cash flow from income generating property into an estimate of property value.

The study advocates the adoption of the use of annuity due formulas in the valuation of income generating properties in Nigeria as its practice standard to avoid undervaluation as this assumption is logical and provides more accurate value due to prevailing lease structure and rent payments patterns in the country. The implication of the study is that the use of ordinary annuity assumptions or formulas is inaccurate and not suitable for the valuation of income generating property in an emerging market like Nigerian where timing of cash flow is annually in advance.

This is one of the very few empirical studies carried out in Nigeria to ascertain the extent to which the income capitalization approach used by valuers reflects the rental income pattern that prevails in the Nigeria property market.

Although it has been proved theoretically that annuities can provide optimal consumption during one’s retirement period, retirees’ reluctance to purchase annuities is a long-standing puzzle. The purpose of this paper is to use behavioral model to analyze the low demand for immediate annuities.

The authors employ cumulative prospect theory (CPT), which contains both loss aversion and probability transformations, to analyze the annuity puzzle.

The authors show that CPT can explain the unattractiveness of immediate annuities. It also shows that retirees would be willing to buy a long-term deferred annuity at retirement. By considering each component from CPT in turn, the loss aversion is found to be the major reason that stops people from buying an annuity while the survival rate transformation is an important factor affecting the decision of when to receive annuity incomes.

This paper identifies CPT as one of the reasons for the low demand of immediate annuities. It further suggests that long-term deferred annuities could overcome behavioral obstacles and become popular among retirees.

The purpose of this paper is to establish the flow-to-equity method, the free cash flow (FCF) method, the adjusted present value method and the relationships between these methods when the FCF appears as an annuity. More specifically, we depart from the two most widely used evaluation settings. The first setting is that of Modigliani and Miller who based their analysis on a stationary FCF. The second setting is that of Miles and Ezzell who worked with an FCF that represents an autoregressive possess of first order.

Inspired by recent observations in the literature concerning cash flows, discount rates and values in discounted cash flow (DCF) methods, we mathematically derive DCF valuation formulas for annuities.

The following relationships are established: (a) the correct discount rate of the tax shield when the free cash flow takes the form of a first-order autoregressive annuity, (b) the direct valuation of the tax shield from the free cash flow for a first-order autoregressive annuity, (c) the correct translation from the required return on unlevered equity to the levered equity, when the free cash flow is a stationary annuity and (d) direct calculation of the unlevered and levered firm values and the value of the tax shield for a stationary annuity.

Until now the complete set of formulas for the valuation of stochastic annuities by different DCF methods has not been established in the literature. These formulas are developed here. These formulas are important for practitioners and academics when it comes to the valuation of cash flows of finite lifetime.

In the UK, there is a strong government commitment to the compulsory use of annuities to manage the “decumulation” of assets in defined contribution pension schemes. Almost all annuity rates are determined by reference to the gender of the individual involved. This has the implication that females receive a lower pension for a given size of pension fund. It is arguable that this situation represents a clear case of sex discrimination and moral, legal‐ and policy‐based arguments can be made for and against this view. The purpose of this paper is to review these arguments in the light of emerging evidence about longevity.

The paper outlines the nature of the UK annuity market and the associated methods of annuity pricing, details the difficulties of predicting longevity and discusses the economic implications of a move to unisex annuity rates.

A number of recent trends are weakening the financial and statistical arguments against introducing unisex annuity rates. The life expectancy of males and females is converging, the use of annuity pricing factors other than gender is increasingly common and it has become clear that there is great uncertainty in mortality projections.

Statistical and financial arguments that gender should be a primary factor for costing annuities should be accorded less weight than in the past.

The paper offers an evaluation of the merits of unisex annuity rates in the light of recent evidence about longevity.

Deferred annuities, which offer longevity insurance with relatively low premiums, are a potential payout option in defined contribution (DC) pension plans in Japan. This study aims to measure individual preferences for these annuities.

This study conducts stated choice experiments using an original internet survey. This methodology provides a decision-making scenario similar to that faced by individuals when making real retirement saving decisions. Subjective valuations of deferred, immediate and term annuities are compared.

This study finds that male individuals have an insignificant preference for deferred annuities – the benefits of which begin at an advanced age. On average, deferred annuities are considered a gamble, betting against life and individuals who are married and have higher financial assets tend to value them less.

While previous studies, based on theory and simulations, have found that deferred annuities should be included in individual retirement assets, this study examines annuity preferences from the demand side (i.e. DC plan participants) –an approach that has not been addressed in the literature.

If complaints about an agent’s sale of “ABC” mutual fund are handled by the state securities commissioner… Why should complaints about the same agent’s sale of a variable annuity invested in “ABC” mutual fund be handled exclusively by the state insurance commissioner? Are state laws enacted 35 years ago still relevant today when most agents who sell variable annuities are also licensed to sell mutual funds?

This paper aims to explore the challenges facing the development of a takāful retirement annuity plan in Malaysia. It also aims at exploring a new platform to re-launch the same product after being withdrawn from the Malaysian annuity market a few years ago.

The research adopts a qualitative approach to address the possible challenges hindering the development of a takāful retirement annuity plan in Malaysia. The research will not discuss the Sharīʿah issues deemed settled in previous researches but will only focus on technical challenges related to the instruments of investment and prudential measures.

The research found that various challenges face the development of a takāful annuity plan in Malaysia. Some of those challenges are the downsizing of the ṣukūk market, the shortage of long-term ṣukūk, longevity risk and risk-based capitalization. The research found that there is a need for a diversified portfolio of securities instead of solely using ṣukūk as an investment instrument in this product.

Re-launching the takāful annuity plan in Malaysia requires the identification of actual challenges facing the development of such a product. The product purported to be re-launched would benefit a large segment of retirees who do not have enough savings during the retirement age. The introduction of such a product will also expand the takāful market in annuities, which remains untapped.

The purpose of this paper is to develop a model to hedge annuity portfolios against increases in life expectancy. Across the globe, and in the industrial nations in particular, people have seen an unprecedented increase in their life expectancy over the past decades. The benefits of this apply to the individual, but the dangers apply to annuity providers. Insurance companies often possess no effective tools to address the longevity risk inherent in their annuity portfolio. Securitization can serve as a substitute for classic reinsurance, as it also transfers risk to third parties.

This paper extends on methods insurer's can use to hedge their annuity portfolio against longevity risk with the help of annuity securitization. Future mortality rates with the Lee-Carter-model and use the Wang-transformation to incorporate insurance risk are forecasted. Based on the percentile tranching method, where individual tranches are aligned to Standard & Poor's ratings, we price an inverse survivor bond. This bond offers fix coupon payments to investors, while the principal payments are at risk and depend on the survival rate within the underlying portfolio.

The contribution to the academic literature is threefold. On the theoretical side, building on the work of Kim and Choi (2011), we adapt their pricing model to the current market situation. Putting the principal at risk instead of the coupon payments, the insurer is supplied with sufficient capital to cover additional costs due to longevity. On the empirical side, the method for the German market is specified. Inserting specific country data into the model, price sensitivities of the presented securitization model are analyzed. Finally, in a case study, the procedure to the annuity portfolio of a large German life insurer is applied and the price of hedging longevity risk is calculated.

To illustrate the implication of this bond structure, several sensitivity tests were conducted before applying the pricing model to the retail sample annuity portfolio from a leading German life insurer. The securitization structure was applied to calculate the securitization prices for a sample portfolio from a large life insurance company.

The findings contribute to the current discussion about how insurers can face longevity risk within their annuity portfolios. The fact that the rating structure has such a severe impact on the overall hedging costs for the insurer implies that companies that are willing to undergo an annuity securitization should consider their deal structure very carefully. In addition, we have pointed out that in imperfect markets, the retention of the equity tranche by the originator might be advantageous. Nevertheless, one has to bear in mind that by this behavior, the insurer is able to reduce the overall default risk in his balance sheet by securitizing a life insurance portfolio; however, the fraction of first loss pieces from defaults increases more than proportionally. The insurer has to take care to not be left with large, unwanted remaining risk positions in his books.

In this paper, we extend on methods insurer's can use to hedge their annuity portfolio against longevity risk with the help of annuity securitization. To do so, we take the perspective of the issuing insurance company and calculate the costs of hedging in a four-step process. On the theoretical side, building on the work of Kim and Choi (2011), we adapt their pricing model to the current market situation. On the empirical side, we specify the method for the German market. Inserting specific country data into the model, price sensitivities of the presented securitization model are analyzed.

The life insurance industry has been exposed to high levels of longevity risk born from the mismatch between realized mortality trends and anticipated forecast. Annuity providers are exposed to extended periods of annuity payments. There are no immediate instruments in the market to counter the risk directly. This paper aims to develop appropriate instruments for hedging longevity risk and providing an insight on how existing products can be tailor-made to effectively immunize portfolios consisting of life insurance using a cointegration vector error correction model with regime-switching (RS-VECM), which enables both short-term fluctuations, through the autoregressive structure [AR(1)] and long-run equilibria using a cointegration relationship. The authors also develop synthetic products that can be used to effectively hedge longevity risk faced by life insurance and annuity providers who actively hold portfolios of life insurance products. Models are derived using South African data. The authors also derive closed-form expressions for hedge ratios associated with synthetic products written on life insurance contracts as this will provide a natural way of immunizing the associated portfolios. The authors further show how to address the current liquidity challenges in the longevity market by devising longevity swaps and develop pricing and hedging algorithms for longevity-linked securities. The use of a cointergrating relationship improves the model fitting process, as all the VECMs and RS-VECMs yield greater criteria values than their vector autoregressive model (VAR) and regime-switching vector autoregressive model (RS-VAR) counterpart’s, even though there are accruing parameters involved.

The market model adopted from Ngai and Sherris (2011) is a cointegration RS-VECM for this enables both short-term fluctuations, through the AR(1) and long-run equilibria using a cointegration relationship (Johansen, 1988, 1995a, 1995b), with a heteroskedasticity through the use of regime-switching. The RS-VECM is seen to have the best fit for Australian data under various model selection criteria by Sherris and Zhang (2009). Harris (1997) (Sajjad et al., 2008) also fits a regime-switching VAR model using Australian (UK and US) data to four key macroeconomic variables (market stock indices), showing that regime-switching is a significant improvement over autoregressive conditional heteroscedasticity (ARCH) and generalised autoregressive conditional heteroscedasticity (GARCH) processes in the account for volatility, evidence similar to that of Sherris and Zhang (2009) in the case of Exponential Regressive Conditional Heteroscedasticity (ERCH). Ngai and Sherris (2011) and Sherris and Zhang (2009) also fit a VAR model to Australian data with simultaneous regime-switching across many economic and financial series.

The authors develop a longevity swap using nighttime data instead of usual income measures as it yields statistically accurate results. The authors also develop longevity derivatives and annuities including variable annuities with guaranteed lifetime withdrawal benefit (GLWB) and inflation-indexed annuities. Improved market and mortality models are developed and estimated using South African data to model the underlying risks. Macroeconomic variables dependence is modeled using a cointegrating VECM as used in Ngai and Sherris (2011), which enables both short-run dependence and long-run equilibrium. Longevity swaps provide protection against longevity risk and benefit the most from hedging longevity risk. Longevity bonds are also effective as a hedging instrument in life annuities. The cost of hedging, as reflected in the price of longevity risk, has a statistically significant effect on the effectiveness of hedging options.

This study relied on secondary data partly reported by independent institutions and the government, which may be biased because of smoothening, interpolation or extrapolation processes.

An examination of South Africa’s mortality based on industry experience in comparison to population mortality would demand confirmation of the analysis in this paper based on Belgian data as well as other less developed economies. This study shows that to provide inflation-indexed life annuities, there is a need for an active market for hedging inflation in South Africa. This would demand the South African Government through the help of Actuarial Society of South Africa (ASSA) to issue inflation-indexed securities which will help annuities and insurance providers immunize their portfolios from longevity risk.

In South Africa, there is an infant market for inflation hedging and no market for longevity swaps. The effect of not being able to hedge inflation is guaranteed, and longevity swaps in annuity products is revealed to be useful and significant, particularly using developing or emerging economies as a laboratory. This study has shown that government issuance or allowing issuance, of longevity swaps, can enable insurers to manage longevity risk. If the South African Government, through ASSA, is to develop a projected mortality reference index for South Africa, this would allow the development of mortality-linked securities and longevity swaps which ultimately maximize the social welfare of life assurance policy holders.

The paper proposes longevity swaps and static hedging because they are simple, less costly and practical with feasible applications to the South African market, an economy of over 50 million people. As the market for MLS develops further, dynamic hedging should become possible.