Modeling Mortality With Jumps: Applications to Mortality Securitization

In this article, we incorporate a jump process into the original Lee–Carter model, and use it to forecast mortality rates and analyze mortality securitization. We explore alternative models with transitory versus permanent jump effects and find that modeling mortality via transitory jump effects may be more appropriate in mortality securitization. We use the Swiss Re mortality bond in 2003 as an example to show how to apply our model together with the distortion measure approach to value mortality-linked securities. Pricing the Swiss Re mortality bond is challenging because the mortality index is correlated across countries and over time. Cox, Lin, and Wang (2006) employ the normalized multivariate exponential tilting to take into account correlations across countries, but the problem of correlation over time remains unsolved. We show in this article how to account for the correlations of the mortality index over time by simulating the mortality index and changing the measure on paths.     

Forecasting Mortality Trends Allowing for Cause-of-Death Mortality Dependence

Longevity risk is among the most important factors to consider for pricing and risk management of longevity products. Past improvements in mortality over many years, and the uncertainty of these improvements, have attracted the attention of experts, both practitioners and academics. Since aggregate mortality rates reflect underlying trends in causes of death, insurers and demographers are increasingly considering cause-of-death data to better understand risks in their mortality assumptions. The relative importance of causes of death has changed over many years. As one cause reduces, others increase or decrease. The dependence between mortality for different causes of death is important when projecting future mortality. However, for scenario analysis based on causes of death, the assumption usually made is that causes of death are independent. Recent models, in the form of Vector Error Correction Models (VECMs), have been developed for multivariate dynamic systems and capture time dependency with common stochastic trends. These models include long-run stationary relations between the variables and thus allow a better understanding of the nature of this dependence. This article applies VECMs to cause-of-death mortality rates to assess the dependence between these competing risks. We analyze the five main causes of death in Switzerland. Our analysis confirms the existence of a long-run stationary relationship between these five causes. This estimated relationship is then used to forecast mortality rates, which are shown to be an improvement over forecasts from more traditional ARIMA processes, which do not allow for cause-of-death dependencies.     

A Hermite-spline model of post-retirement mortality

ABSTRACT

We present a model for post-retirement mortality where differentials automatically reduce with increasing age, but without the fitted mortality rates for subgroups crossing over. Selection effects are catered for, as are age-modulated time trends and seasonal variation in mortality. Central to the model are Hermite splines, which permit parsimonious modelling of complex risk factors in even modest-sized portfolios. The model is therefore suitable for the stand-alone analysis of experience data for reinsurance, bulk annuities and longevity swaps. We also illustrate the contrast between the statistical significance of a risk factor and its financial significance and discuss reasons why one might include risk factors like season that are not directly financially significant.     

Information Sharing and International Taxation: A Primer

The sharing between national tax authorities of taxpayer-specific information has emerged over the last few years as a—probably ‘the’—central issue on the international tax policy agenda. Yet this refocusing of the debate on international taxation—away from parametric tax coordination and towards strengthening information exchange—has gone largely unnoticed in the public finance literature. This paper gives an overview of this increasingly important area of international taxation, reviewing the key economic, legal, and practical concepts and issues bearing on the analysis and implementation of information exchange, and providing an account of recent policy initiatives and emerging theoretical insights. JEL Code: H77, H87, F42     

Wages, exchange rates and competitiveness

Conclusion Wage growth in west Germany has, over the longer term and with few exceptions, been far more closely oriented towards macroeconomic productivity growth than in the majority of its competitor countries. Even after adjusting for exchange rate movements, it is evident that unit labour costs in west Germany have, in general, growth significantly less strongly and in most cases are lower in absolute terms than abroad. The fact that, in spite of this, Germany has repeatedly faced foreign trade problems, is due to the volatility of exchanges rates. The demand—in such cases seemingly self-evident, although usually not explicitly formulated—that collective wage bargainers ought to orient wage growth not only towards productivity growth but also towards exchange rates would mean standing the economy on its head, however. A rational alternative to this is to stabilise exchange rates or indeed their partial abolition, as is the aim of European Monetary Union. It would be irrational, on the other hand, to abolish the wage determination system which, on the whole, has proved its effectiveness in orienting average wage increases towards macroeconomic productivity growth.     

The effect of benefits level on take-up rates: evidence from a natural experiment

This paper exploits a quasi-natural experiment to study the effect of social benefits level on take-up rates. We find that households who are eligible for double benefits (twins) have much higher take-up rate—up to double—as compared to a control group of households. Our estimated effect of benefits level is much higher relative to the standard cross section estimates. This finding is less exposed to a selection bias that might plague much of the previous research on the link between benefits level and take-up. It provides strong empirical support for the level of benefits as a key factor in determining take-up rates.     

What do dividends tell us about earnings quality?

Over the past 30 years, there have been significant changes in the distribution of earnings—cross-sectional variation has increased, with increasing left skewness—as well as in corporate payout policy, with many fewer firms paying dividends and the emergence of stock repurchases. We investigate whether the informativeness of payout policy with respect to earnings quality changes over this period. We find that the reported earnings of dividend-paying firms are more persistent than those of other firms and that this relation is remarkably stable over time. We also find that dividend payers are less likely to report losses and those losses that they do report tend to be transitory losses driven by special items. These results do not hold as strongly for stock repurchases, consistent with them representing less of a commitment than dividends.     

Computerised detection and stochastic forecast of age, period and cohort effects

In this study, we adapt and apply suitable methods of image processing and computer vision to actuarial science. In particular, we design a multistage algorithm based on the well known Canny operator with a view to detecting abrupt changes in incremental mortality development factors by age over time. These edges indicate the boundaries between areas of higher and lower mortality improvements. The computerised detection algorithm allows for a more objective judgement concerning the existence of specific mortality patterns. Furthermore, we propose a stochastic mortality forecast model that may be viewed as a Lévy process. First, objectively identified mortality patterns are removed from the matrix of mortality improvement rates. We then forecast residual mortality development factors by applying a non-parametric block bootstrap simulation. Finally, future age, period and cohort effects are superimposed on a simulation basis. Notably, our stochastic mortality model is capable of incorporating specific stress scenarios such as mortality shocks.     

Valuation before and after tax in the discrete time, finite state no arbitrage model

We establish necessary and sufficient conditions for a linear taxation system to be neutral—within the multi-period discrete time “no arbitrage” model—in the sense that valuation is invariant to the exact sequence of tax rates, realization dates as well as immune to timing options attempting to twist the time profile of taxable income through wash sale transactions.

“In the study of investments, taxes are largely a source of embarrassment to financial economists.” (Introduction to Dybvig and Ross 1986) “Accordingly, my approach in this chapter is to examine the restrictions on the income measurement rules applicable to financial instruments implied by the requirement that the rules be linear. . . . Linearity is a desideratum of a tidy tax system.” (Bradford 2000, p. 373–374)

     

Evidence on Simulation Inference for Near Unit-Root Processes with Implications for Term Structure Estimation

The high persistence of interest rates has important implicationsfor the preferred method used to estimate term structure models.We study the finite-sample properties of two standard dynamicsimulation methods—efficient method of moments (EMM) andindirect inference—when they are applied to an first orderautoregressive (AR[1]) process with Gaussian innovations. Whensimulated data are as persistent as interest rates, the finite-sampleproperties of EMM differ both from their asymptotic propertiesand from the finite-sample properties of indirect inferenceand maximum likelihood. EMM produces larger confidence boundsthan indirect inference and maximum likelihood, yet is muchless likely to contain the true parameter value. This is primarilybecause the population variance of the data plays a much largerrole in the EMM conditions than in the moment conditions foreither indirect inference or maximum likelihood. These resultssuggest that, under Gaussian assumptions, indirect inference(if practical) is preferable to EMM when working with persistentdata such as interest rates. EMM's emphasis on the populationvariance strongly enforces stationarity on the underlying process,so this same reasoning suggests that EMM may be preferable insettings where stability and stationarity are important anddifficult to impose.     

Stochastic Mortality Modeling: Key Drivers and Dependent Residuals

This article proposes an alternative framework for modeling the stochastic dynamics of mortality rates. A simple age basis combined with two stochastic period factors is used to explain the key mortality drivers, while the remaining structure is modeled via a multivariate autoregressive residuals model. The latter captures the stationary mortality dynamics and introduces dependencies between adjacent age-period cells of the mortality matrix that, among other things, can be structured to capture cohort effects in a transparent manner and incorporate across ages correlations in a natural way. Our approach is compared with models with and without a univariate cohort process. The age- and period-related latent states of the mortality basis are more robust when the residuals surface is modeled via the multivariate time-series model, implying that the process indeed acts independently of the assumed mortality basis. Under the Bayesian paradigm, the posterior distribution of the models is considered to explore coherently the extent of parameter uncertainty. Samples from the posterior predictive distribution are used to project mortality, and an in-depth sensitivity analysis is conducted. The methodology is easily extendable in multiple ways that give a different form and degree of significance to the different components of mortality dynamics.     

Corporate tax policy and incorporation in the EU

In Europe, declining corporate tax rates have come along with rising tax-to-GDP ratios. This paper explores to what extent income shifting from the personal to the corporate tax base can explain these diverging developments. We exploit a panel of European data on legal form of business to analyze income shifting via incorporation. The results suggest that the effect is significant and large. It implies that the revenue effects of lower corporate tax rates—possibly induced by tax competition—will partly show up in lower personal tax revenues rather than lower corporate tax revenues. Simulations suggest that between 12% and 21% of corporate tax revenue can be attributed to income shifting. Income shifting is found to have raised the corporate tax-to-GDP ratio by some 0.25% points since the early 1990s. This research was carried out while Ruud de Mooij was a visiting fellow at DG ECFIN in October 2006. The views expressed in this Article are those of the authors and do not necessarily reflect the official position of the European Commission.     

Incentives and Information Exchange in International Taxation

The exchange of taxpayer-specific information between national tax authorities has recently emerged as a key and controversial topic in international tax policy discussions, most notably with the OECD's harmful tax practices project and the EU's savings tax initiative. This paper analyzes the effects of information exchange and withholding taxes, recognizing that countries which agree to exchange information do not forfeit the ability to levy withholding taxes, and also focusing in particular on the effects of innovative revenue-sharing arrangements. Amongst the findings are that: (i) the transfer of withholding tax receipts to the residence country, as planned in the European Union, has no effect on equilibrium tax rates, but acts purely as a lump-sum transfer; (ii) in contrast, allocating some of the revenue from information exchange to the source country—counter to usual practice (though no less so than the EU agreement)—would have adverse strategic effects on total revenue; (iii) nevertheless, any withholding tax regime is Pareto dominated by information exchange combined with appropriate revenue sharing; and, in particular, (iv) sharing of the additional revenues raised from information provided, while efficiency-reducing, could be in the interests of large countries as a means of persuading small countries to provide that information voluntarily. JEL Code: H77, H87, F42     

Predictive Modeling of Obesity Prevalence for the U.S. Population

Modeling obesity prevalence is an important part of the evaluation of mortality risk. A large volume of literature exists in the area of modeling mortality rates, but very few models have been developed for modeling obesity prevalence. In this study we propose a new stochastic approach for modeling obesity prevalence that accounts for both period and cohort effects as well as the curvilinear effects of age. Our model has good predictive power as we utilize multivariate ARIMA models for forecasting future obesity rates. The proposed methodology is illustrated on the U.S. population, aged 23–90, during the period 1988–2012. Forecasts are validated on actual data for the period 2013–2015 and it is suggested that the proposed model performs better than existing models.     

Institutional Monitoring and REIT CEO Compensation

Our objective in this paper is to investigate the relationship between institutional ownership and CEO compensation structure of REITs. Based on detailed analyses of data on institutional ownership, performance, CEO and board characteristics over the 10 year period 1998–2007, we find significant evidence that large institutions influence governance through CEO compensation—greater institutional ownership is associated with greater emphasis on incentive-based compensation (higher pay-performance sensitivity of CEO compensation), and higher cash and total compensation for CEOs. Further, we find that institutions are less active when managers are performing in a superior fashion. Two important conclusions emerge from the analysis. First, similar to unregulated firms, institutional owners do act as monitors in REITs. Broadly, this result suggests that governance is necessary for REITs. Second, institutional investors set a high pay-performance sensitivity for CEOs, but are willing to pay higher cash compensation to induce managers to take risk.     

Continuous-time multi-cohort mortality modelling with affine processes

Continuous-time mortality models, based on affine processes, provide many advantages over discrete-time models, especially for financial applications, where such processes are commonly used for interest rate and credit risks. This paper presents a multi-cohort mortality model for age-cohort mortality rates with common factors across cohorts as well as cohort-specific factors. The mortality model is based on well-developed and used techniques from interest rate theory and has many applications including the valuation of longevity-linked products. The model has many appealing features. It is a multi-cohort model that describes the whole mortality surface, it captures cohort effects, it allows for observed imperfect correlation between different cohorts, it is shown to fit historical data at pension-related ages very well, it has closed-form expressions for survival curves and we show that it outperforms a number of other commonly used discrete-time mortality models in forecasting future survival curves.     

The global threat of deflation calls for swift interest rate cuts in Europe

Conclusions Given the serious crisis in Asia and evidence of its spreading to other developing and transition countries, the attempt by German economic policymakers to achieve faster economic growth and higher employment almost exclusively by means of successes on export markets appears likely to fail sooner than had been expected by the DIW⁵. The significance of domestic demand has been systematically underestimated in recent years. With the help of extremely low pay settlements, the D-Mark was devalued in real terms; this promoted exports, but at the same time led to growth losses in private consumption and investment that more than offset the gains in exports. On top of this German fiscal policy—as documented in the following report in this issue—has weakened domestic demand and investment activity. This strategy might have worked if a symmetrically oriented monetary policy had reacted to the deflationary trend inherent in pay settlements and the fiscal-policy stance by swiftly and significantly reducing interest rates. This did not happen. It was therefore inevitable that the crisis in sales markets made its full effects felt on economic growth. More seriously still, if cost deflation in Germany is not brought to an end in the coming year by a return to productivity-oriented wage settlements, it will pose a major threat to the European Monetary Union.⁶ If Germany pursues a beggar-thyneighbour policy in a Europe without exchange rates, this can only result in deflation and a downward economic spiral.⁷     

Short- and Long-Term Effects of United Nations Peace Operations

In an earlier study Doyle and Sambanis (2000) [Doyle, MichaelW., and Nicholas Sambanis. 2000. "International Peacebuilding:A Theoretical and Quantitative Analysis." American PoliticalScience Review 94(4):779–801.] showed that United Nations(UN) peace operations have made positive contributions to peacebuildingin the short term, helping parties implement peace agreements.But are the effects of UN peace operations lasting? Becausethe UN cannot fight wars, such operations should not be usedto enforce a peace. Peacekeeping operations contribute moreto the quality of the peace—that is, to securing morethan the mere absence of war—than to its duration, becausethe effects of such operations dissipate over time. For peaceto be self-sustaining, countries must develop institutions andpolicies that generate economic growth. UN peacebuilding lacksa strategy for fostering self-sustaining economic growth thatcould connect increased participation with sustainable peace.The international community would benefit from an evolutionthat uses economic reforms to plug the gap between peacekeepingand humanitarian assistance on the one hand and developmenton the other.     

Do initial public offering firms manage accruals? Evidence from individual accounts

We examine whether initial public offering (IPO) firms exercise discretion over an individual accrual account on the balance sheet—the allowance for uncollectible accounts—and an individual accrual account on the income statement—bad debt expense. Our research design exploits a unique disclosure requirement related to these accounts (i.e., the ex post disclosure of write-offs of uncollectible accounts), which enables us to develop refined expectation models. We provide evidence that IPO firms have conservative, not aggressive, allowances in the annual periods adjacent to their stock offerings. In fact, the average IPO firm has an allowance that is over four-times leading write-offs. We also provide evidence that IPO firms record larger, not smaller, bad debt expense and are less likely to record income-increasing bad debt expense than matched non-IPO firms. These results challenge the view that IPO firms understate receivables-related accrual accounts.     

The Netherlands: An employment policy role model?

Conclusion While in recent years the level of social security benefits in the Netherlands has been reduced somewhat —whereby to some extent this involved the employers shouldering additional costs (e.g. for disability pensions) —the benefits for unemployment and other social bene-fits remain high in international comparative terms. Despite a slight decline in social benefits as a share of GDP, public sector spending as a whole is, at around 50%, slightly higher than in Germany, although the Netherlands has not had to cope with extraordinary burdens such as have resulted from German unification. The successes achieved by the Netherlands on the labour market have been exaggerated. Firstly, the real level of unemployment is likely to be actually rather high in international terms, at least once one dispenses with a narrow definition and takes account, in particular, of the large number of occupationally disabled. Secondly, the fall in the unemployment rate is far from spectacular. Although the increase in the number of wage and salary earners has been substantially higher in the Netherlands than in west Germany, this in no way represents a comparable increase in the volume of employment—measured in working hours—as the incidence of part-time employment has increased far faster there than in west Germany. The Netherlands has achieved-slightly-higher growth than west Germany. This success is largely due to a very moderate growth of wages and salaries, amounting to a real depreciation of the guilder against the D-Mark, an economic policy strategy that can be successful in a small country, but one which, if applied by a large country such as Germany, would merely initiate a beggar-thy-neighbour race to lower real exchange rates.