The main objective of this paper is to offer a detailed analysis of mortality change in the United Kingdom at the beginning the 21st century. Starting from an exploration of 20th century mortality trends, focusing in particular on the 1990s, underlying forces driving trends in longevity are discussed. These include the ‘cohort effect’ and the ‘ageing of mortality improvement’. International mortality statistics and trends are also analysed. The pace of medical advances is discussed, with specific focus on research into the ageing process and a potential treatment for cardiovascular disease. The paper also discusses the potential threat from infectious diseases.

The analysis of underlying trends suggests that life expectancy in retirement in the U.K. is likely to increase rapidly in the early part of the 21st century. Some scientists are also claiming that we will be seeing the fruits of anti-ageing research within just a few decades.

A core theme of the paper is that future projections should be grounded in as good an understanding of the past as possible. Different methods for projecting future rates of mortality are discussed, and it is noted that emphasis should be placed on the uncertainty surrounding projections.

The financial impact of using different assumptions for future mortality is explored. Significant differences in the cost of an annuity or pension arise from the use of the various projection bases.

Life assurance companies have already declared significant losses as a result of strengthening reserves on annuity portfolios. Taken together, future increases in life expectancy, increasing awareness of the risk of providing longevity insurance, changes in legislation and shortages in market capacity and capital, may well lead to worsening annuity rates.

It is difficult to assess the precise impact of future changes in life expectancy on final salary pension schemes. There is a lack of readily available information on the mortality assumptions being used in practice. It is therefore suggested that more disclosure in this area would be helpful. Employers sponsoring final salary schemes are making promises to their employees that extend up to 70 or 80 years into the future. Actuaries should be clear in spelling out to employers and trustees the nature of the risks behind the promises they are making. Future scheme design should reflect the possibility of substantial increases in life expectancy.

An over-riding implication of the anticipated increases in life expectancy is that people will remain in work for longer in the future. The age at which people retire will inevitably have to increase, and this trend will necessarily drive changes in all aspects of our society. As actuaries we have a vital role in helping to inform the wider debate.

The paper opens by showing how certain types of hedge funds can reduce the risk and increase the return on a traditional balanced managed fund. One of the key characteristics of such a hedge fund is that it has a low correlation with the balanced managed fund. The paper puts forward a new way of explaining correlation so that it can be more readily understood, and suggests methods of analysis for dealing with the fact that correlation is unstable. Volatility correlation is also examined because of its importance in reducing the risk of a portfolio.

An outline of the characteristics and risks of three types of hedge funds, namely, long/short equity, convertible arbitrage and merger arbitrage, together with some questions investors might put to prospective hedge fund managers is given in Section 5.

Some of the very basic statistical analysis techniques used in assessing the past performance of hedge funds are given in Section 6. Considerable emphasis is put on the need to examine daily return data as an insight into the quality of the manager's IT systems, his risk management, evidence of smoothing of returns, and to gain access to a higher number of data points for assessing the repeatability of performance.

An entire section of the paper is devoted to gaining a clear understanding of a prospective hedge fund manager's volatility management strategy because of its importance in the context of the fee structure of hedge funds and its importance for assessing the ability of a hedge fund to reduce the risk and increase the returns of a balanced managed fund.

Funds of hedge funds are examined in the final section, and the section concludes that large sophisticated institutional investors may wish to create a portfolio of hedge funds rather than invest in a fund of hedge funds.

In this paper we discuss methods of developing real estate indices, the availability of real estate data, the problems of using published real estate data and how real estate data can be used for stochastic investment modelling for actuarial purposes. In recent years there have been many developments in the collection, presentation and analysis of real estate data that have not found their way into the actuarial literature. We review those developments and suggest and develop ways in which raw real estate investment data can be used for actuarial purposes. We then review the Wilkie real estate stochastic investment model and use the research of real estate finance academics to inform a critique and development of that model. In developing the models, different data sets are used, including data from valuation-based and de-smoothed indices in order to find appropriate parameter estimates. The significance (or otherwise) of the parameter estimates is tested for each of the fitted models and the differences between the fitted models are examined. By reviewing research in the real estate finance field, making use of the latest research and developing original work, the main aim of this paper is to ensure that actuaries have the means to collect, understand and manipulate real estate data for performance measurement and investment modelling purposes.

The paper addresses some of the practical and theoretical issues raised by the move to a market consistent calculation of realistic liabilities and solvency capital for with-profits business. It also proposes some changes to the presentation of the realistic balance sheet, which the authors believe will provide greater transparancy, and more closely reflect the way in which with-profits business should be managed in future.

This paper was written at the request of the Life Research Committee of the United Kingdom Actuarial Profession's Life Board. It concerns the valuation of U.K. with-profits business, with particular attention to the market-consistent ‘realistic reporting’ basis currently being used in the U.K. by the regulator, the Financial Services Authority (FSA). The paper surveys recent regulatory activity concerning the development and introduction of the new valuation approach, and puts it into the context of a survey of alternative methodologies, both deterministic and stochastic. The particular issues arising when considering prudential solvency are discussed, and various approaches are reviewed and compared with market consistent methods. Numerical examples are given, which demonstrate potential issues (regarding comparability and consistency) with the FSA's proposed approach — in particular the sensitivity of results to model calibration. The authors support the FSA's move to a stochastically-based framework for solvency measurement, but highlight some issues which need to be taken into account.

The paper overviews the application of existing actuarial techniques to operational risk. It considers how, working in conjunction with other experts, actuaries can develop a new framework to monitor/review, establish context, identify, understand and decide what to do in terms of the management and mitigation of operational risk. It suggests categorisations of risk to help analyses and proposes how new risk indicators may be needed, in conjunction with more normal quantification approaches.

Using a case study, it explores the application of stress and scenario testing, statistical curve fitting (including the application of extreme value theory), causal (Bayesian) modelling and the extension of dynamic financial analysis to include operational risk. It suggests there is no one correct approach and that the choice of parameters and modelling assumptions is critical. It lists a number of other techniques for future consideration.

There is a section about how ‘soft issues’ including dominance risk, the impact of belief systems and culture, the focus of performance management systems and the psychology of organisations affect operational risk. An approach to rating the people aspects of risk in parallel with quantification may help give a better overall assessment of risk and improve the understanding for capital implications.

The paper concludes with a brief review of implications for reporting and considers what future work will help develop the actuarial contribution. It is hoped the paper will sow seeds for the development of best practice in dealing with operational risk and increase the interest of actuaries in this emerging new topic.

The purpose of the report is to achieve a greater understanding of the United Kingdom ‘cohort effect’ by exploring research in other fields and analysing population mortality data by cause of death in more detail. The ‘cohort effect’ in this context is the observed phenomenon that people born in the U.K. between 1925 and 1945 (centred on the generation born in 1931) have experienced more rapid improvement in mortality than generations born either side of this period.

In a Continuous Mortality Investigation (CMI) Bureau working paper published in 2002, a similar trend was noted in the mortality experience of male pensioners and males with life assurance policies. The CMI Bureau investigation showed peak rates of improvement for the cohort born in 1926. Interim projection bases for future mortality experience were produced as a result of the study. The projections made various assumptions about the extent to which the observed cohort effect would continue to shape the pattern of future mortality improvement.

This report suggests that it is highly likely that the cohort effect has been caused by a number of different factors in combination. Prevalence of smoking from one generation to the next has certainly been one such factor. Furthermore, an analysis of patterns of cigarette smoking suggests that there is a degree of inevitability in some element of likely future improvement, especially for mortality at older ages from conditions strongly linked to smoking.

However, trends in heart disease and breast cancer mortality suggest that smoking is not the only factor. The differences between lung cancer and heart disease trends by year of birth are especially interesting. The report shows that there are two ‘sub-cohorts’ of the 1925 to 1945 cohort: an earlier group where the improvements may be largely due to smoking; and a later one where other factors, such as diet in early life, may have played a greater role.

Historic patterns of smoking behaviour by socio-economic class provide an explanation for the five-year difference in the year of birth showing the fastest improvements, i.e. the difference between 1926 for the CMI Bureau investigation and 1931 for the general population. It is also notable that the second ‘sub-cohort’ of high improvement, applying to people born in the early 1940s, can be seen in both population and CMI experience.

A case study examining Japanese mortality experience shows that strong cohort trends can be projected well into old age. This does not provide proof that the U.K. cohort effect will do the same. However, it does counter arguments that year of birth effects will inevitably wear off with age. It is especially interesting given recent epidemiological research linking early life experience with markers of ageing.

There are a number of reasons to believe that the U.K. cohort effect will have an enduring impact on rates of mortality improvement in future decades. These include historical patterns of smoking behaviour and the impact of early life experience on health in later life. There appears to be little evidence to support the idea that the width of the generation experiencing rapid improvement will reduce with time.

In recent years there has been a trend towards market consistent valuation in those institutions for which actuaries have responsibilities. The larger United Kingdom with-profits insurance companies are now preparing realistic balance sheets, both for internal purposes and also at the request of the Financial Services Authority. International accounting standards have been moving to a fair value approach. Pension fund accounting under FRS 17 has also moved in this direction.

In this paper we examine the reasons for the adoption of market consistent valuation and discuss some of the commercial implications and corporate valuation. We consider the methods and assumptions which can be used to develop market consistent valuations of cash flows typically encountered in the liabilities of financial institutions, together with some of the problems inherent in the calibration of models used for the valuation of these cash flows. The volatility assumption is crucial to the valuation of options and guarantees, and we discuss the relationship between historical and implied volatility.

While most insurance companies initially adopted formulae to value their with-profits guarantees, several offices are now using a Monte Carlo simulation approach for their realistic balance sheets. The Monte Carlo approach enables allowance to be made for management discretion in bonus and investment policy, as well as policyholder actions. However, in many cases it is possible to develop analytical formulae for cash flows approximating those payable under insurance contracts.

The valuation formulae have implications for the hedging of embedded guarantees. The authors discuss the construction of hedges for financial risks in with-profits funds, the separate perspectives of policyholders and shareholders, possible funds in which to hold hedging instruments, limitations of capital market hedging tools and the effect of taxation on hedge effectiveness.