The Wealth Effects of Fairness Opinions in Takeovers

This paper explores the wealth effects associated with a bidder's decision to solicit a fairness opinion in a takeover transaction. Using a hand‐collected sample with bidders’ filing proxy statements, this paper finds that the use of fairness opinions does not negatively affect bidder shareholders’ wealth, a finding that contradicts prior studies’ findings. In addition, I find a positive wealth effect associated with bidder use of fairness opinions in the post‐Rule 2290 period. Collectively, these results are consistent with a fairness opinion being used by bidder management as a means to facilitate transactions rather than a mechanism to entrench management.     

The retirement wealth of the baby boom generation

The paper compares the well-being of the baby boom generation (ages 40-55) in 2001 with the same age group in 1983. I find little evidence that their relative position deteriorated over the period. By some indicators, this generation has seen an improvement. In terms of income, the 40-55 age group was at about the same relative position in 2001 as in 1983. In terms of conventional wealth, there was some slippage over the period. In terms of mean augmented wealth (net worth plus pension and Social Security wealth), their relative position improved somewhat but in terms of median augmented wealth there was again some slippage.     

The Implied Longevity Yield: A Note on Developing an Index for Life Annuities

I develop an index for tracking the dynamic behavior of life (pension) annuity payouts over time, based on the concept of self‐annuitization. Our implied longevity yield (ILY) value is defined equal to the internal rate of return (IRR) over a fixed deferral period that an individual would have to earn on their investable wealth if they decided to self‐annuitize using a systematic withdrawal plan. A larger ILY number indicates a greater relative benefit from immediate annuitization. I use age 65—with a 10‐year period certain—compared against the same annuity at age 75 as the standard benchmark for the index, and calibrate to a comprehensive time series of weekly (Canadian) life annuity quotes from 2000 through 2004. I find that during this period the ILY varied from 5.45 percent to 6.90 percent for males and from 5.00 percent to 6.42 percent for females and was highly correlated with a duration‐weighted average yield of 10‐year and long‐term Government of Canada bonds. I believe our ILY metric can help promote and explain the benefits of acquiring lifetime payout annuities by translating the abstract‐sounding longevity insurance into more concrete and measurable financial rates of return.     

Temptation and Self‐Control: Some Evidence and Applications

This paper studies the empirical relevance of temptation and self‐control using household‐level data from the Consumer Expenditure Survey. We construct an infinite‐horizon consumption‐savings model that allows, but does not require, temptation and self‐control in preferences. In the presence of temptation, a wealth–consumption ratio, in addition to consumption growth, becomes a determinant of the asset‐pricing kernel, and the importance of this additional pricing factor depends on the strength of temptation. To identify the presence of temptation, we exploit an implication of the theory that a more tempted individual should be more likely to hold commitment assets such as individual retirement account (IRA) or 401(k) accounts. Our estimation provides empirical support for temptation preferences. Based on our estimates, we explore some quantitative implications of this class of preferences for capital accumulation in a neoclassical growth model and the welfare cost of the business cycle.     

Capital structure and executive compensation contract design: A theoretical and empirical analysis

Compensation contracts including incentive instruments not only provide executives with positive incentives to increase shareholder wealth, but also create a negative value-dilution effect for existing shareholders. This study investigates this dilemma by conducting a benefit-cost analysis under a proposed structural form valuation framework. Our design mechanism shows that, given their firms’ current capital structure, shareholders are always capable of designing an optimal compensation contract to maximize their wealth. Due to the different research issue and assumptions, unlike findings of most previous studies, our model proposes that in a firm with a higher leverage ratio shareholders should provide a contract with higher incentive intensity for managers, and this proposition is supported by the empirical analyses which examine the sample of S&P index firms over the period 1992-2006 after adopting an updated fixed effects model.     

Acquisitions,Overconfident Managers and Self‐attribution Bias

We examine whether acquisitions by overconfident managers generate superior abnormal returns and whether managerial overconfidence stems from self‐attribution. Self‐attribution bias suggests that overconfidence plays a greater role in higher order acquisition deals predicting lower wealth effects for higher order acquisition deals. Using two alternative measures of overconfidence (1) high order acquisition deals and (2) insider dealings we find evidence supporting the view that average stock returns are related to managerial overconfidence. Overconfident bidders realise lower announcement returns than rational bidders and exhibit poor long‐term performance. Second, we find that managerial overconfidence stems from self‐attribution bias. Specifically, we find that high‐order acquisitions (five or more deals within a three‐year period) are associated with lower wealth effects than low‐order acquisitions (first deals). That is, managers tend to credit the initial success to their own ability and therefore become overconfident and engage in more deals. In our analysis we control for endogeneity of the decision to engage in high‐order acquisitions and find evidence that does not support the self‐selection of excessive acquisitive firms. Our analysis is robust to the influence of merger waves, industry shocks, and macroeconomic conditions.     

A dynamic model of entrepreneurship with borrowing constraints: theory and evidence

Does wealth beget wealth and entrepreneurship, or is entrepreneurship mainly determined by an individual’s ability? A large literature studies the relationship between wealth and entry to entrepreneurship to inform this question. This paper shows that in a dynamic model, the existence of financial constraints to the creation of businesses implies a non-monotonic relationship between wealth and entry into entrepreneurship: the probability of becoming an entrepreneur as a function of wealth is increasing for low wealth levels—as predicted by standard static models—but it is decreasing for higher wealth levels. U.S. data are used to study the qualitative and quantitative predictions of the dynamic model. The welfare costs of borrowing constraints are found to be significant, around 6% of lifetime consumption, and are mainly due to undercapitalized entrepreneurs (intensive margin), rather than to able people not starting businesses (extensive margin).     

The Displacement Effect of Public Pensions on the Accumulation of Financial Assets*

The generosity of public pensions may depress private savings and provide incentives to retire early. While there is plenty of evidence supporting the latter effect, there remains considerable controversy over whether public pensions crowd out private savings. This paper uses international micro‐data sets collected over recent years to investigate whether public pensions displace private savings. The identification strategy relies not only on cross‐country differences in generosity but also on differences in the progressivity or non‐linearity of pension formulas across countries. We estimate that an extra dollar of pension wealth depresses accumulated financial assets around the time of retirement by 22 cents. An extra 10,000 dollars in public pension wealth reduces the average retirement age by roughly one month, which implies an elasticity of years of retirement with respect to pension wealth of 0.15.     

Optimal Investment Strategy to Minimize the Probability of Lifetime Ruin

Abstract

I study the problem of how individuals should invest their wealth in a risky financial market to minimize the probability that they outlive their wealth, also known as the probability of lifetime ruin. Specifically, I determine the optimal investment strategy of an individual who targets a given rate of consumption and seeks to minimize the probability of lifetime ruin. Two forms of the consumption function are considered: (1) The individual consumes at a constant (real) dollar rate, and (2) the individual consumes a constant proportion of his or her wealth. The first is arguably more realistic, but the second has a close connection with optimal consumption in Merton’s model of optimal consumption and investment under power utility.

For constant force of mortality, I determine (a) the probability that individuals outlive their wealth if they follow the optimal investment strategy; (b) the corresponding optimal investment rule that tells individuals how much money to invest in the risky asset for a given wealth level; (c) comparative statics for the functions in (a) and (b); (d) the distribution of the time of lifetime ruin, given that ruin occurs; and (e) the distribution of bequest, given that ruin does not occur. I also include numerical examples to illustrate how the formulas developed in this paper might be applied.     

Conditional returns to shareholders of bidding firms: an Australian study

This study examines the importance of the self‐selection problem when evaluating returns to bidder firms around announcement events. Takeover announcements are not random because managers decide rationally whether to bid or not, which indicates announcements are timed; consequently, in the presence of the sample selection problem, standard ordinary least square estimates are biased. Using a conditional model, the results indicate that after controlling for the self‐selection bias effect, shareholders of bidder firms make normal returns. In sum, failing to account for sample selection bias may lead to erroneous conclusions about a bidder's true economic wealth effects around an announcement event.     

Correspondence between lifetime minimum wealth and utility of consumption

We establish when the two problems of minimizing a function of lifetime minimum wealth and of maximizing utility of lifetime consumption result in the same optimal investment strategy on a given open interval O in wealth space. To answer this question, we equate the two investment strategies and show that if the individual consumes at the same rate in both problems—the consumption rate is a control in the problem of maximizing utility—then the investment strategies are equal only when the consumption function is linear in wealth on O, a rather surprising result. It then follows that the corresponding investment strategy is also linear in wealth and the implied utility function exhibits hyperbolic absolute risk aversion.      

Equity‐Based Incentives,Risk Aversion,and Merger‐Related Risk‐Taking Behavior

We find that post‐merger equity risk is negatively related to the sensitivity of CEO wealth to stock return volatility (vega), but is concentrated in CEOs with high proportions of options and options that are more in‐the‐money. The probability of industrial diversification also increases in vega. Additional tests show that the decline in post‐merger equity risk results in a significant decrease in shareholder wealth. This decrease is concentrated among firms with CEOs having the highest delta and the highest delta and vega. Our results suggest that the increased convexity provided by option‐based compensation does not necessarily increase risk‐taking behavior by CEOs.     

Understanding the Distributional Impact of Long‐Run Inflation

The impact of fully anticipated inflation is systematically studied in heterogeneous agent economies with an endogenous labor supply and portfolio choices. In stationary equilibrium, inflation nonlinearly alters the endogenous distributions of income, wealth, and consumption. Small departures from zero inflation have the strongest impact. Three features determine how inflation impacts distributions and welfare: financial structure, shock persistence, and labor supply elasticity. When agents can self‐insure only with money, inflation reduces wealth inequality but may raise consumption inequality. Otherwise, inflation reduces consumption inequality but may raise wealth inequality. Given persistent shocks and an inelastic labor supply, inflation may raise average welfare. The results hold when the model is extended to account for capital formation.     

How to trust? The importance of self‐efficacy and social trust in public responses to industrial risks

Although a great deal of research has linked both self‐efficacy and social trust to risk responses, one overlooked question concerns the association between self‐efficacy and institutional trust. The purpose of this study was to investigate the main and combined effects of trust in the self and trust in responsible agencies to affective responses and information sufficiency. Survey respondents in this study were placed into one of four categories based on their levels of self‐efficacy (high/low) and social trust (high/low), including confidence, independence, dependence and insecure groups. Based on survey data (n = 466), the accuracy of the four‐group classification was tested. Indeed, we found that our classification system correlated with responses. Both self‐efficacy and institutional trust were found to contribute to emotional risk responses, as well as risk information needs and preferences for risk information.     

The Subjective Valuation of Indexed Stock Options and Their Incentive Effects

We analyze the potential role of indexed stock options in future pay‐for‐performance executive compensation contracts. We present a unified framework for index‐linked stock options, discuss their incentive effects, argue that indexation schemes based on the capital‐asset pricing model (CAPM) are the most suitable for executive compensation, and derive a subjective pricing model for the class of CAPM‐based indexed stock options. Contrary to earlier work, executives would not be motivated to take on investment projects with high idiosyncratic risk once their lack of wealth diversification and degree of risk aversion are factored into the analysis.     

Diversification of External Accountants Serving Small and Medium‐sized Enterprises: Evidence from Belgium

The purpose of this study is: (1) to discover which services are offered by external accountants serving small and medium‐sized enterprises (SMEs); (2) to study the factors that are associated with the degree of diversification of the services offered by these accountants; and (3) to investigate if there are differences between self‐employed accountants and accounting firms on the previous two points. This study has some interesting conclusions: (1) the heterogeneity of internal staff is not significantly associated with the degree of diversification; (2) a homogeneous internal staff with an accounting background is particularly important for accounting firms that diversify their services in the accounting and tax area; (3) collaboration with other service providers is an important factor associated with more diversification of the services; (4) marketing is only important for self‐employed accountants; (5) accounting firms offer fewer non‐accounting‐related services if they serve more micro clients (fewer than 10 employees), whereas self‐employed accountants offer more accounting and tax services if they serve more micro clients (fewer than 10 employees); and (6) accounting firms that diversify in accounting and tax services mainly serve more micro clients (fewer than 10 employees), whereas accounting firms that diversify in non‐accounting areas serve more larger clients (more than 10 employees).     

Self-Annuitization and Ruin in Retirement

Abstract

At retirement, most individuals face a choice between voluntary annuitization and discretionary management of assets with systematic withdrawals for consumption purposes. Annuitization–buying a life annuity from an insurance company–assures a lifelong consumption stream that cannot be outlived, but it is at the expense of a complete loss of liquidity. On the other hand, discretionary management and consumption from assets–self-annuitization–preserves flexibility but with the distinct risk that a constant standard of living will not be maintainable.

In this paper we compute the lifetime and eventual probability of ruin (PoR) for an individual who wishes to consume a fixed periodic amount–a self-constructed annuity–from an initial endowment invested in a portfolio earning a stochastic (lognormal) rate of return. The lifetime PoR is the probability that net wealth will hit zero prior to a stochastic date of death. The eventual PoR is the probability that net wealth will ever hit zero for an infinitely lived individual.

We demonstrate that the probability of ruin can be represented as the probability that the stochastic present value (SPV) of consumption is greater than the initial investable wealth. The lifetime and eventual probabilities of ruin are then obtained by evaluating one minus the cumulative density function of the SPV at the initial wealth level. In that eventual case, we offer a precise analytical solution because the SPV is known to be a reciprocal gamma distribution. For the lifetime case, using the Gompertz law of mortality, we provide two approximations. Both involve “moment matching” techniques that are motivated by results in Arithmetic Asian option pricing theory. We verify the accuracy of these approximations using Monte Carlo simulations. Finally, a numerical case study is provided using Canadian mortality and capital market parameters. It appears that the lifetime probability of ruin–for a consumption rate that is equal to the life annuity payout–is at its lowest with a well-diversified portfolio.     

Health and Mortality Delta: Assessing the Welfare Cost of Household Insurance Choice

We develop a pair of risk measures, health and mortality delta, for the universe of life and health insurance products. A life‐cycle model of insurance choice simplifies to replicating the optimal health and mortality delta through a portfolio of insurance products. We estimate the model to explain the observed variation in health and mortality delta implied by the ownership of life insurance, annuities including private pensions, and long‐term care insurance in the Health and Retirement Study. For the median household aged 51 to 57, the lifetime welfare cost of market incompleteness and suboptimal choice is 3.2% of total wealth.     

Short‐selling pressure and last‐resort debt finance: evidence from 144A high‐yield risk‐adjusted debt

This study examines why non‐financial publicly traded firms knowingly issue wealth destroying Rule 144A debt, which is associated with a negative announcement return and a higher yield. We provide a plausible ‘demand‐side’ explanation (i.e. last‐resort debt financing) for the motivation for issuing such debt. We also provide evidence as to what drives this negative reaction. Our findings suggest that the negative market impact is mainly driven by short‐selling pressure from convertible bond arbitrageurs.