short horizon regulation for long term investors we study the effects of imposing repeated short horizon regulatory constraints on long term investors we show that value at risk and expected shortfall constraints when imposed dynamically lead to similar optimal portfolios and wealth distributions we also show that in utility terms the costs of imposing these constraints can be sizeable for a 96 funded pension plan both an annual value at risk constraint and an annual expected shortfall constraint can lead to an economic cost of about 2 5 3 8 of initial wealth over a 15 year horizon

impulse control of pension fund contributions in a regime switching economy abstract in defined benefit pension plans allowances are independent from the financial performance of the fund and the sponsoring firm pays regularly contributions to limit deviations of fund assets from the mathematical reserve necessary for covering the promised liabilities this research paper proposes a method to optimize the timing and size of contributions in a regime switching economy the model takes into consideration important market frictions like transactions costs late payments and illiquidity the problem is solved numerically using dynamic programming and impulse control techniques our approach is based on parallel grids with trinomial links discretizing the asset return in each economic regime

constrained non concave utility maximization an application to life insurance contracts with guarantees abstract we study a problem of non concave utility maximization under a fair pricing constraint the framework finds many applications in for example the optimal design of managerial compensation or equity linked life insurance contracts deriving closed form solutions we observe that the fair pricing constraint will reduce the riskiness of the optimal strategies substantially in an extensive numerical section we analyze innovative retirement products that adapt the investment strategy of the premium pool according to the policyholder s preferences modeled as constant relative risk aversion crra such products are a response to the loss of attractiveness of traditional life insurance contracts with guarantees that are negatively affected by increasing solvency requirements for return guarantees and a general decrease in interest rate levels taking into account that retirement products are usually tax privileged we find that fairly priced guarantee contracts that follow this optimal investment strategy lead to a higher expected utility level than asset investments

the effect of pension design on employer costs and employee retirement choices evidence from oregon abstract we use administrative data from oregon s public employees retirement system pers to study the effect of pension design on employer costs and employee retirement timing decisions during our 1990 2003 sample period pers calculates each member s retirement benefit using up to three different formulas defined benefit db defined contribution dc and a combination of db and dc and pers pays the maximum benefit for which the member is eligible we show that this maximum benefit calculation results in average ex post retirement benefits that are 54 higher than if they had been calculated using only the db formula and that employees receiving dc benefits are significantly more likely than employees receiving db benefits to retire before the plan s normal retirement age monte carlo simulations verify that the higher costs could have been predicted at the start of our sample period exploiting exogenous plan changes we show that employees respond to within year variation in their retirement incentives and consistent with peer effects that they respond more strongly to these incentives when more of their coworkers face similar incentives finally consistent with the emerging literature on financial mistakes by households we show that a small but noteworthy fraction of retirees would have benefited from shifting their retirements by as little as one month

the effect of regulation on optimal corporate pension risk abstract we study firms pension prefunding and portfolio allocation choices in a model in which firms trade off the need to compensate workers for the financial risk in their pension benefit against the cost advantage that may be gained by exploiting underpriced pension insurance in the absence of pension insurance the firm minimizes costs by rendering promised benefits free of risk to workers who are assumed to be unable to hedge firm specific risk various forms of government intervention such as benefit guarantees can alter this outcome dramatically by providing the firm with an incentive to shift risk to other parties in this case we find that the firm s decisions depend on among other influences the degree of insurance mispricing the amount of guaranteed benefits the stringency of minimum funding requirements and the costs of financial distress

portfolio choice with puts evidence from variable annuities this study investigated the asset allocation behavior of individuals who select an out of the money long dated longevity put option on their investment funds the asset allocations of these people within their variable annuity subaccounts are 5 30 percent more risky than the allocations of those who do not choose this protection investors who do not choose the longevity put option follow the classic life cycle age phased reduction in equity a rudimentary model of utility maximizing behavior is suggested that justifies the increased allocation to risk as long as the investor understands the payoff structure of the longevity put and is willing and able to exercise the annuity option if and when it matures in the money

stochastic lifestyling optimal dynamic asset allocation for defined contribution pension plans this paper considers the asset allocation strategies open to members of deflnedcontribution pension plans we investigate a model that incorporates three sources of risk asset risk and salary or labour income risk in the accumulation phase and interest rate risk at the point of retirement we propose a new form of terminal utility function incorporating habit formation that uses the plan member s flnal salary as a numeraire the paper discusses various properties and characteristics of the optimal stochastic asset allocation strategy which we call stochastic lifestyling both with and without the presence of non hedgeable salary risk we compare the performance of stochastic lifestlying with some popular strategies used by pension providers including deterministic lifestyling which involves a gradual switch from equities to bonds according to preset rules and static strategies that invest in benchmark mixed funds we flnd that the use of stochastic lifestyling signiflcantly enhances the welfare of a wide range of potential plan members relative to these other strategies jel classiflcation e21 g11 g23

continuous time methods in finance a review and an assessment i survey and assess the development of continuous time methods in finance during the last 30 years the subperiod 1969 to 1980 saw a dizzying pace of development with seminal ideas in derivatives securities pricing term structure theory asset pricing and optimal consumption and portfolio choices during the period 1981 to 1999 the theory has been extended and modified to better explain empirical regularities in various subfields of finance this latter subperiod has seen significant progress in econometric theory computational and estimation methods to test and implement continuous time models capital market frictions and bargaining issues are being increasingly incorporated in continuous time theory the roots of modern continuous time methods in finance can be traced back to the seminal contributions of merton 1969 1971 1973b in the late 1960s and early 1970s merton 1969 pioneered the use of continuous time modeling in financial economics by formulating the intertemporal consumption and portfolio choice problem of an investor in a stochastic dynamic programming setting merton 1973b also showed how such a framework can be used to develop equilibrium asset pricing implications thereby significantly extending the asset pricing theory to richer dynamic settings and expanding the scope of applications of continuous time methods to study problems in financial economics 1 within a span of about 30 years from the publication of merton s inf luential papers continuous time methods have become an integral part of financial economics indeed in certain core areas in finance such as e g asset pricing derivatives valuation term structure theory and portfolio selection continuoustime methods have proved to be the most attractive way to conduct research and gain economic intuition the continuous time approach in these areas has produced models with a rich variety of testable implications the econometric theory for testing continuous time models has made rapid strides in the last decade and has thus kept pace with the impressive progress on the theoretical front one hopes that the actual empirical investigations and estimation using the new procedures will follow suit soon

a continuous time model to determine the intervention policy for pbgc abstract the pension benefit guaranty corporation pbgc which insures private defined benefit pension plans is facing mounting deficits the main cause of this predicament for pbgc can be traced down to the misuse of the insurance by a few companies we therefore propose an active intervention policy which would result in termination of severely underfunded plans for the pbgc a continuous time model is provided to help determine the point of intervention if necessary using option pricing techniques a clear exposition of the intervention doctrine is thus obtained via this model we also provide a numerical illustration of the working of the model on a hypothetical pension plan

regulation and pension fund risk taking abstract we investigate the extent to which regulations governing investment valuation and funding affect the riskiness of defined benefit pension funds asset allocation we compare the regulatory frameworks of public corporate and industry pension funds in the united states canada and the netherlands over 1992 2011 derived from panel data analysis of a unique set of asset allocation details for close to 600 funds our results highlight that regulatory factors are more economically significant than pension funds characteristics in shaping asset allocation in particular risk based capital requirements and mark to market valuation are both associated with a 7 lower risky asset exposure especially equities regardless of market conditions by contrast the exposure of a pension fund subject to a 100 funding requirement does not differ significantly from that of an unconstrained pension fund during normal times but the constrained pension fund invests 4 less in risky assets during a financial crisis in line with theoretical predictions we find that risk based capital requirements and minimum funding limits have different consequences for pension funds risk taking

do high interest rates deter speculative attacks evidence and some theory abstract this paper presents the first empirical evidence on the efficacy of raising interest rates ex ante as a deterrent to speculative attacks using a dataset that covers 54 countries from march 1964 through december 2005 we find strong evidence that raising interest rates in advance has significantly different impacts in different country groups it significantly reduces the probability of attacks in countries that have a de facto hard peg but increases it in de facto soft pegging countries this finding is robust to alternative measure of monetary policy and to different specifications and samples we then present a simple two stage signaling model to offer a theoretical explanation for our empirical findings

optimal consumption portfolio choices and retirement planning abstract we examine consumption and investment decisions in a life cycle model with habit formation stochastic opportunity set stochastic wages and labor supply flexibility retirement is taken into account by specifying an age at which labor earnings stop but consumption spending continues explicit solutions are obtained for optimal consumption labor supply and the financing portfolio we examine the structure and determinants of the optimal portfolio we also study the effects of the retirement date and of habits on optimal decisions finally we conduct a preliminary analysis to assess the effects of a liquidity constraint on optimal consumption leisure choices

portfolio choice and mortality contingent claims the general hara case abstract we solve a portfolio choice problem that includes mortality contingent claims and labor income under general hara preferences our contribution beyond existing literature is to i focus on the covariance between shocks to human capital and financial capital to ii model the utility of a family with basic needs and iii include life insurance and pension annuity claims in one unified life cycle model our solution employs a similarity reduction mapping which reduces the two dimensional hjb equation into one dimension this allows for the implementation of a quick numerical scheme and when shocks to human capital and financial capital are perfectly correlated a closed form expression is obtained as a special case

investment risk taking by institutional investors according to theory institutional investors face both risk management and risk shifting incentives this article assesses the relevance of these conflicting incentives for dutch pension funds and insurance firms over the period 1995 to 2009 using a unique and extended data set we observe a significant positive relationship between capital and asset risk for insurers indicating that risk management incentives dominate in the dutch insurance industry risk shifting incentives however also seem relevant as stock insurers take more investment risk than their mutual peers for dutch pension funds we conclude that overall neither risk shifting nor risk management incentives seem to dominate interestingly we find that professional group pension funds take significantly less investment risk than other types of pension funds this finding is in line with expectations as in professional group pension funds potential incentive conflicts between pension fund participants and the employer are effectively in

lifetime consumption and investment retirement and constrained borrowing retirement flexibility and inability to borrow against future labor income can significantly affect optimal consumption and investment with voluntary retirement there exists an optimal wealth to wage ratio threshold for retirement and human capital correlates negatively with the stock market even when wages have zero or slightly positive market risk exposure consequently investors optimally invest more in the stock market than without retirement flexibility both consumption and portfolio choice jump at the endogenous retirement date the inability to borrow limits hedging and reduces the value of labor income the wealth to wage ratio threshold for retirement and the stock investment

optimal consumption and portfolio policies when asset prices follow a diffusion process abstract we consider a consumption portfolio problem in continuous time under uncertainty a martingale technique is employed to characterize optimal consumption portfolio policies when there exist nonnegativity constraints on consumption and on final wealth we also provide a way to compute and verify optimal policies our verification theorem for optimal policies involves a linear partial differential equation unlike the nonlinear partial differential equation of dynamic programming the relationship between our approach and dynamic programming is discussed we demonstrate our technique by explicitly computing optimal policies in a series of examples in particular we solve the optimal consumption portfolio problem for hyperbolic absolute risk aversion utility functions when the asset prices follow a geometric brownian motion the optimal policies in this case are no longer linear when nonnegativity constraints on consumption and on final wealth are included by these examples one can see that our approach is much easier than the dynamic programming approach

saving and investing for early retirement a theoretical analysis we study optimal consumption and portfolio choice in a framework where investors adjust their labor supply through an irreversible choice of their retirement time we show that investing for early retirement tends to increase savings and reduce an agent s effective relative risk aversion thus increasing her stock market exposure contrary to common intuition an investor might find it optimal to increase the proportion of financial wealth held in stocks as she ages and accumulates assets even when her income and the investment opportunity set are constant the model predicts a decrease in risk aversion following strong market gains like those observed in the nineties

valuation optimal asset allocation and retirement incentives of pension plans we provide a framework in which we link the valuation and asset allocation policies of defined benefits plans with the lifetime marginal productivity schedule of the worker and the pension plan formula in turn we examine the retirement policies that are implied by the primitives of the model and the value of pension obligations our model provides an explicit valuation formula for a stylized defined benefits plan the optimal asset allocation policies consist of the replicating portfolio of the pension liabilities and the growth optimum portfolio independent of the pension liabilities we show that the worker will retire when the ratio of pension benefits to current wages reaches a critical value which depends on the parameters of the pension plan and the discount rate using numerical techniques we analyze the feedback effect of retirement policies on the valuation of plans and on the asset allocation decisions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

institutional and individual investors saving for old age this paper brings together the academic literature on individual and institutional investors in order to understand the nature of difficulties faced by them and set the background for the special issue this introductory article and the papers in the special issue contribute to the debate on how to support individuals in their savings commitments and investment decision making and whether and how institutional investors have fulfilled their role in supporting the development of the funded pension industry there are three main conclusions i individual investors are not ready for the role that has been assigned to them in the pension industry ii institutional investors are a long way short of establishing healthy relational contracts and trustworthy relationships with their clients and iii more effective regulation may be needed

theory of constant proportion portfolio insurance abstract we study constant proportion portfolio insurance cppi a dynamic strategy that maintains the portfolio s risk exposure a constant multiple of the excess of wealth over a floor up to a borrowing limit we use this simple rule to investigate how transaction costs and borrowing constraints affect portfolio insurance type strategies absent transaction costs cppi is equivalent to investing in perpetual american call options and is optimal for a piecewise hara utility function with a minimum consumption constraint as the multiple increases the payoffs under cppi approach those of a stop loss strategy the expected holding period return is not monotonic in the multiple and a higher expected return can be obtained under cppi than with a stop loss strategy

annuitization and asset allocation this paper examines the optimal annuitization investment and consumption strategies of a utility maximizing retiree facing a stochastic time of death under a variety of institutional restrictions we focus on the impact of aging on the optimal purchase of life annuities which form the basis of most defined benefit pension plans due to adverse selection acquiring a lifetime payout annuity is an irreversible transaction that creates an incentive to delay under the institutional all or nothing arrangement where annuitization must take place at one distinct point in time i e retirement we derive the optimal age at which to annuitize and develop a metric to capture the loss from annuitizing prematurely in contrast under an open market structure where individuals can annuitize any fraction of their wealth at anytime we locate a general optimal annuity purchasing policy in this case we find that an individual will initially annuitize a lump sum and then buy annuities to keep wealth to one side of a separating ray in wealth annuity space we believe our paper is the first to integrate life annuity products into the portfolio choice literature while taking into account realistic institutional restrictions which are unique to the market for mortality contingent claims

is it tax competition or tax exporting abstract this paper extends the basic tax competition model to a framework in which jurisdictions have market power over the price of the output produced within their borders if firms within the jurisdiction are competitive the jurisdiction can play the role of monopoly rent collector by using taxes to restrict the level of output it is shown that the basic tax competition model can be thought of as a special case of this more general framework in this framework the opportunity to export the tax burden can partially or fully offset the well known effects identified by the tax competition model