Payout Policy Relevance and Accounting‐based Valuation

DeAngelo and DeAngelo (2006) (D&D) argue ‘payout policy is not irrelevant and investment is not the sole determinant of value, even in frictionless markets’. Consistent with this view, we argue that the concept of a perfect capital market in Miller and Modigliani (1961) (M&M) and Fama and Miller (1972) can be extended to allow for managerial moral hazard if managers are assumed not to participate in securities trading. An updated version of the M&M valuation model is presented and the possibility of managerial free cash flow (FCF) retention through operating expense manipulation and sub‐optimal investment policies is discussed. Our analysis supports D&D's argument that payout policy is relevant and indicates that value relevance of payout depends on the quality of earnings measurement and the optimality of investment policy. Following this, we develop a framework for analyzing valuation and informational roles of payout in accounting‐based valuation models and apply this framework to the Ohlson (1995) and Feltham and Ohlson (1996) models. This analysis shows how these models permit payout valuation relevance due to managerial FCF retention but not payout informational relevance. Finally, we consider how the Feltham and Ohlson (1996) model can be extended to incorporate time variation in expected profitability of capital investment caused by time variation in managerial FCF retention activities and show that this explicitly affects payout value relevance. We conclude that the development of models where payout plays an explicit valuation role due to issues of moral hazard is an important direction for future research.     

Optimal Sequential Investment When Capital is Not Readily Reversible

When investment opportunities arrive one at a time and are reviewed sequentially, a corporation's optimal policy differs from a standard net present value rule if the corporation exercises control over an industry state variable and control is costly. The first condition presupposes a degree of market power for the firm; the second occurs if corporate investment decisions are imperfectly reversible. To address the problem of optimal investment in this context, a firm's investment decisions are modeled as a Markov reward process. The causes of economic irreversibility are discussed and general propositions concerning the optimal investment policy are derived. These propositions are then applied to the optimization of an exploration program by an oligopolistic firm (a price leader). Under particular demand and distributional assumptions, solutions for the optimal decision rule and the value of the exploration program are obtained and their properties examined.     

Real options with unknown-date events

The real options literature has provided new insights on how to manage irreversible capital investments whose payoffs are uncertain. Two of the most important predictions from such theory are: (i) greater risk delays a firm’s investment timing, and (ii) greater risk increases the option value of waiting. This paper challenges such conclusions in a setting in which the relevant random variable is the arrival time of an unfavorable event. In particular, we model situations in which a firm must choose the time at which to invest in a project whose profit grows at a known rate until a random date is reached and decays thereafter, which may be representative of stochastic product or industry life cycles. This is a novel framework in which a firm can update its beliefs about the profitability of an investment opportunity by simply waiting to invest. Thus, a wait-and-see approach allows the firm to capitalize on favorable market evolutions and avoid adverse ones to some extent. Our framework is simple and does not require using stochastic calculus, which allows for an economic interpretation of optimal investment policies for the cases of one-time and sequential investments.     

Replacement Investment: Optimal Economic Life Under Uncertainty

Replacement investment is essentially a regenerative optimal stopping problem; that is, the key decision concerns when to terminate the life of existing plant – and hence when to start over again. This paper examines this optimisation problem within a continuous time framework and studies the qualitative and quantitative impact of uncertainty on the timing of new investment (and the criteria that should be used for terminating the life of existing plant).     

Computing optimal rebalance frequency for log-optimal portfolios in linear time

The pure form of log-optimal investment strategies are often considered to be impractical due to the inherent need for continuous rebalancing. It is however possible to improve investor log utility by adopting a discrete-time periodic rebalancing strategy. Under the assumptions of geometric Brownian motion for assets and approximate log-normality for a sum of log-normal random variables, we find that the optimum rebalance frequency is a piecewise continuous function of investment horizon. One can construct this rebalance strategy function, called the optimal rebalance frequency function, up to a specified investment horizon given a limited trajectory of the expected log of portfolio growth when the initial portfolio is never rebalanced. We develop the analytical framework to compute the optimal rebalance strategy in linear time, a significant improvement from the previously proposed search-based quadratic time algorithm.     

Dynamic portfolio strategy by loss-averse fund managers facing performance-induced fund flows

In a continuous-time framework, we establish an optimal dynamic portfolio strategy for a loss-averse fund manager facing performance-induced fund flows. Using the martingale approach, we derive closed-form solutions to both the optimal terminal value and optimal dynamic strategy of the fund under management. The model shows that the loss-averse manager strives to earn high returns in good market conditions at the risk of losing all investments at the terminal date in bad market conditions. The prospect of higher fund inflows induced by superior performance motivates fund managers to take more aggressive investment strategies, increasing the fund's risk exposure, whereas the prospect of fund outflows due to underperformance has no impact on the fund manager's investment decision. While the prospect of higher fund inflows increases dynamic optimal wealth as well as optimal terminal wealth in good market conditions, in bad market conditions, it reduces dynamic optimal wealth and results in a higher chance of a complete loss at the terminal date. Finally, a manager with a higher degree of loss aversion tends to take a conservative investment strategy with a lower risk exposure especially in bad market conditions, leading to a lower dynamic and terminal wealth in good market conditions and also a lower chance of a complete loss in bad market conditions.     

Optimal investment and production decisions and the value of the firm

We explore the effects of uncertainty on a firm that can respond by modifying its investment or production schedule (or both simultaneously) to variations in output price. Investment may increase capacity and/or reduce costs. We consider a firm with finite resources.Our model uses option theory instead of the more traditional net present value framework. One of the early papers using this approach is Brennan and Schwartz (1985) in which an investment project to extract a finite natural resource is valued. In that paper, the value of the firm is a function of two state variables, the finite resource to be extracted (output to be produced in the future) and the commodity spot price. In order to maximize firm value, the manager can respond by modifying one control variable, the production level. In our model we handle instead three state variables (spot price, resources, accumulated investment) and two control variables (production rate and investment rate), and solve numerically.We obtain both the value and the optimal policy of a firm that has investment projects that increase capacity and/or reduce costs and illustrate optimal policies as resources and available investments decrease over the life of the firm. Firms may start by only investing, then invest and produce, to end only producing.We thank Scott Wo, the referee and the editor for their comments and suggestions. Cortázar and Lowener acknowledge the financial support from FONDECYT and FONDER.     

Optimal dividend policy,debt policy and the level of investment within a multi-period DCF framework

This paper simultaneously analyses optimal dividend, debt and investment policy within a conventional multi-period DCF framework, and takes account of differential personal taxation over both investors and types of income, the effect of dividends and interest on the level of share issues and hence share issue costs, and the effect of dividends and interest on the level of internally-financed investment. Application of the model to three distinct tax regimes reveals that the value benefit from debt is small at best whilst the value benefit from dividends is substantial even in a regime without dividend imputation.     

Firm Investment and Stakeholder Choices: A Top‐Down Theory of Capital Budgeting

This paper develops a top‐down model of capital budgeting in which privately informed executives make investment choices that convey information to the firm's stakeholders (e.g., employees). Favorable information in this setting encourages stakeholders to take actions that positively contribute to the firm's success (e.g., employees work harder). Within this framework we examine how firms may distort their investment choices to influence the information conveyed to stakeholders and show that investment rigidities and overinvestment can arise as optimal investment distortions. We also examine investment distortions in multi‐divisional firms and compare such distortions to those in single‐division firms.     

Dynamic Models of Investment Distortions

This paper studies the interaction between corporate financing decisions and investment decisions in a dynamic framework. When the production decision involves an expansion option, the firm trades off tax benefits of debt against two costs of debt financing, namely the investment distortion related to exercise of the expansion option and the loss of a valuable expansion opportunity if the firm defaults. The optimal capital structure is all equity for firms with more value in growth options (or intangible assets) and tends to involve debt financing for firms with more value in tangible assets. JEL Classification: D81, G13, G31, G32     

Least-squares Monte-Carlo methods for optimal stopping investment under CEV models

The optimal stopping investment is a kind of mixed expected utility maximization problems with optimal stopping time. The aim of this paper is to develop the least-squares Monte-Carlo methods to solve the optimal stopping investment under the constant elasticity of variance (CEV) model. Such a problem has no closed-form solutions for the value functions, optimal strategies and optimal exercise boundaries due to the early exercised feature. The dual optimal stopping problem is first derived and then the strong duality between the dual and prime problems is established. The least-squares Monte-Carlo methods based on the dual control theory are developed and numerical simulations are provided. Both the power and non-HARA utilities are studied.     

Hedging the value of waiting

We analyze the optimal hedging policy of a firm that has flexibility in the timing of investment. Conventional wisdom suggests that hedging adds value by alleviating the under-investment problem associated with capital market frictions. However, our model shows that hedging also adds value by allowing investment to be delayed in circumstances where the same frictions would cause it to commence prematurely. Thus, hedging can have the paradoxical effect of reducing investment. We also show that greater timing flexibility increases the optimal quantity of hedging, but has a non-monotonic effect on the additional value created by hedging. These results may help explain the empirical findings that investment rates do not differ between hedgers and non-hedgers, and that hedging propensities do not depend on standard measures of growth opportunities.     

Disclosure,investment and regulation

This paper provides a framework to analyze voluntary and mandatory disclosure. Since improved disclosure reduces the entrepreneur's ability to extract private benefits, it secures funding for new investments, but also provides existing claimholders with a windfall gain. As a result, the entrepreneur may choose to forgo investment in favor of extracting more private benefits. A mandatory disclosure standard reduces inefficient extraction and increases investment efficiency. Although the optimal standard is higher than the entrepreneur's optimal choice, it can be less than complete in order not to deter investment. The model also shows that better legal shareholder protection goes together with higher disclosure standards and that harmonization of disclosure standards may be detrimental.     

INFLATION,INVESTMENT, AND DEBT

In this paper the effect of inflation on firms' investment and debt-financing decisions is examined. Inflation affects optimal investment and financing directly through the probability of accounting loss and the real value of depreciation and interest tax shields. In addition, when corporate and differential personal taxes cause investment and financing decisions to interact, inflation has indirect effects on these decisions through their interactions. In general, the overall effects of inflation on optimal investment and debt are ambiguous in sign. For tax-exempt firms, however, optimal investment and debt are independent of inflation. For firms that are always in a tax-paying position, higher inflation reduces optimal investment without affecting optimal debt. Furthermore, inflation causes total firm value to decrease if the depreciation rate exceeds the firm's debt/asset ratio.     

Technological advances and the decision to invest

Technological advances impact a firm’s investment decision, as they affect the investment cost. They can also affect the profitability due to demand shocks. We study a firm’s optimal investment decision when technological advances occur as surprises and induce uncertain reductions in the investment cost and in earnings. Despite this complex setting we derive closed-form solutions for the investment option value and the investment threshold. When technological advances only impact the investment cost, we demonstrate significant contributions compared to existing research, which restricts the analysis by keeping the expected investment cost path constant. For example, we show that, albeit the investment threshold is constant, the option value is very sensitive in the expected impact of technological advances. Leaving the restrictive setting, we obtain more intuitive results, e.g. that more frequent technological advances increase the option value. When technological advances impact future earnings we find important long-term effects: the investment threshold increases, whereas the option value decreases. Finally, earnings volatility postpones investment, while uncertainty due to technological advances expedites investment.     

Corporate hedging versus risk-shifting in financially constrained firms: The time-horizon matters!

The paper presents an intertemporal theory of the optimal risk policy in shareholder-managed firms, which face future financing constraints and act under moral hazard as well as limited liability. Our model provides an integrated framework that overcomes the dilemma of “conflicting motives” of risk-shifting (Jensen and Meckling, 1976) on the one hand and corporate hedging (Smith and Stulz, 1985) on the other hand by considering time-effects. Shareholders face a trade-off between a risk-shifting incentive if the investment horizon is short, and a hedging incentive that becomes dominant if the investment horizon is sufficiently long. Within an infinite-time investment horizon, Jensen and Meckling's risk incentive problem can be fully solved as permanent hedging is optimal except for firms in financial distress, which constantly opt for risk-shifting. We further show that the value of corporate hedging increases if financing constraints become more severe. Our results suggest that life-cycle features play a significant role in the firm's propensity to hedge. They also coincide with existing empirical evidence, which shows that only highly leveraged firms facing financial distress will primarily opt for risk-shifting.     

The effect of leverage on the tax-cut versus investment-subsidy argument

Two common methods of attracting corporate investment are investment incentives and tax incentives. It is important to use the two incentives in the correct proportions, otherwise the government will give up too much value in the process of attracting investment. This paper examines the effect of tax cut and investment subsidy on the government's net benefit from a project. Earlier studies concluded that it was optimal to use only investment subsidy and no tax cuts. We show that this is not true when debt financing is possible, and it is generally optimal (from the government's perspective) to use a combination of tax reduction and investment subsidy. The optimal tax rate and optimal investment subsidy are identified and analyzed in the paper. It is shown that using a sub-optimal combination of incentives can result in substantial reduction of benefits for the government.     

Spending rules for endowment funds

Endowment fund managers face an asset allocation problem with several particularities: they are more interested in spending for current and future beneficiaries than growing value, although the trade-off between these two alternatives needs to be understood; they have to consider longest-term investment, typically an infinite horizon. We do address these allocation constraints in a dynamic framework where minimum subsistence levels (introducing the idea that a minimum spending amount needs to be made at every time period) are introduced in the objective function. We derive explicit formulas for the optimal spending stream, endowment value, spending rate and portfolio strategy in a simple Black/Scholes type economy. We analyze the effects of parameter changes on asset allocation decisions and provide simulations on bearish, median and bullish paths.     

R&D Investments with Competitive Interactions

In this article we develop a model to analyze patent-protected R&D investment projects when there is (imperfect) competition in the development and marketing of the resulting product. The competitive interactions that occur substantially complicate the solution of the problem since the decision maker has to take into account not only the factors that affect her/his own decisions, but also the factors that affect the decisions of the other investors. The real options framework utilized to deal with investments under uncertainty is extended to incorporate the game theoretic concepts required to deal with these interactions. Implementation of the model shows that competition in R&D, in general, not only increases production and reduces prices, but also shortens the time of developing the product and increases the probability of a successful development. These benefits to society are countered by increased total investment costs in R&D and lower aggregate value of the R&D investment projects.     

The impacts of share pledging on firm investment timing and valuation

This paper applies a model in the real options framework to analyze the impacts of controlling shareholder’s share pledging on corporate investment timing and valuation. We find that the optimal investment timing shows an inverted U-shape with the pledge ratio, indicating that share pledging exacerbates firms’ over-investment and worsens firms’ under-investment. Furthermore, share pledging hurts firms’ option value unless active measures are taken to control the pledging risks. The maintenance requirement can keep controlling shareholder from irrational early investments and protect investors from severe wealth losses. In addition, our work can provide testable empirical implications.