Discount rates for long-term projects: the cost of capital and social discount rate compared

Research on the cost of capital and on the social discount rate (SDR) has developed largely along separate paths. This paper offers an overview and comparison of both concepts. The consumption-based theory of discount rates is common to both, but there are striking differences in how the cost of capital and SDR are estimated. A project's cost of capital is inferred in practice from market data, by a well-established package of techniques, and project risk makes a large difference. In contrast, the SDR is estimated by applying judgement about the welfare of future generations, in the setting of consumption-based theory. Project risk has tended to be ignored under the SDR approach.     

Tax reform, the informal economy, and bank financing of capital formation

This paper develops a model that relates businesses’ entry into the underground economy to tax rates and the need to access the banking system. The model uses a dynamic approach in which both firms and banks optimize and in which the benefits to a firm of accessing the banking system are endogenous. A firm compares the return to capital with the marginal tax rate on capital income and uses the difference to determine how much of the tax to pay. At the same time, banks use a firm’s capital tax payments, combined with the capital tax rate to obtain an estimate of the firm’s minimum capital value. If the firm pays at least some taxes then it will have access to the banking system, which will allow it to finance investment. If the firm pays no taxes, then it cannot access the banks and cannot invest. We compare the equilibria resulting from tax compliance and tax evasion. We calibrate the model to a highly stylized version of the Russian economy, and analyze the effect of potential tax changes on the underground economy. We compute a dynamic equilibrium for our model, and note that it tracks the path of certain macroeconomic variables of the Russian economy (GDP, budget and trade balances, price level and interest rate) with some accuracy for the years 2001–2008. We are unable to track the underground economy, as this data is unobservable. We then carry out a series of counterfactual simulations, first asking if non-capital intensive firms have an incentive to evade taxes under existing value added tax rates. We find that they do, and that the incentive would have been greatly reduced if the value added tax rate had been selectively reduced for the non-capital intensive sectors. We then ask what the effect would be if the corporate tax rate were raised on capital intensive sectors. The simulations indicate that the capital intensive sectors would not increase their entry into the underground economy.     

Information disclosure,firm growth,and the cost of capital

We study how information disclosure affects the cost of equity capital and investor welfare in a dynamic setting. We show that a firm’s cost of capital decreases (increases) in the precision of public disclosure if the firm’s growth rate is below (above) a certain threshold. The threshold growth rate is higher when the firm’s cash flows are more persistent, or when other firms in the economy are growing at low rates. While current shareholders always prefer maximum public disclosure, future shareholders’ welfare decreases (increases) in the precision of public disclosure if the firm’s growth rate is below (above) the threshold.     

On the optimal timing of capital taxes

For many kinds of capital, depreciation rates change systematically with the age of the capital. Consider an example that captures essential aspects of human capital, both regarding its accumulation and its depreciation: a worker obtains knowledge in period 0, then uses this knowledge in production in periods 1 and 2, and thereafter retires. Here, depreciation accelerates: it occurs at a 100% rate after period 2, and at a lower (perhaps zero) rate before that. The present paper analyzes the implications of non-constant depreciation rates for the optimal timing of taxes on capital income. The main finding is that under natural assumptions, the path of tax rates over time must be oscillatory. Oscillatory tax rates are optimal when depreciation rates accelerate with the age of the capital (as in the above example), and provided that the government can commit to the path of future tax rates but cannot apply different tax rates in a given year to different vintages of capital.     

The determinants of venture capital funding: evidence across countries

This paper analyses the determinants of venture capital for a sample of 21 countries. In particular, we consider the importance of initial public offerings (IPOs), gross domestic product (GDP) and market capitalization growth, labor market rigidities, accounting standards, private pension funds, and government programs. We find that IPOs are the strongest driver of venture capital investing. Private pension fund levels are a significant determinant over time but not across countries. Surprisingly, GDP and market capitalization growth are not significant. Government policies can have a strong impact, both by setting the regulatory stage, and by galvanizing investment during downturns. Finally, we also show that different types of venture capital financing are affected differently by these factors. In particular, early stage venture capital investing is negatively impacted by labor market rigidities, while later stage is not. IPOs have no effect on early stage venture capital investing across countries, but are a significant determinant of later stage venture capital investing across countries. Finally, government funded venture capital has different sensitivities to the determinants of venture capital than non-government funded venture capital. Our insights emphasize the need for a more differentiated approach to venture capital, both from a research as well as from a policy perspective. We feel that while later stage venture capital investing is well understood, early stage and government funded investments still require more extensive research.     

Slowing Fossil Fuel Extraction: A Role for Taxation of Exports,Capital Gains and Interest Income

This paper develops a model of a growing open economy rich in non‐renewable resources, the extraction of which negatively impacts domestic productivity and whose sector competes with final production for capital. We analyse how tax rates on capital gains and interest income and the time trend of an export revenue tax rate could slow the extraction of resources for export. We find that taxing capital gains and interest income at the same rate and setting an export revenue tax rate to decline at the marginal social cost of extraction would defer extraction. An export revenue tax rate need not fall over time to curb depletion if capital gains are taxed at a lower rate than interest income, which is second best to taxing asset returns at the same rate when the resources sector competes for capital.     

Dynamic behavior of capital accumulation in a cash-in-advance model

This paper analyzes the dynamic behavior of capital accumulation in Stockman's cash-in-advance model. If the cash-in-advance constraint applies only to consumption, then money is superneutral along the transition path as well as in the long run. Alternatively, if the cash-in-advance constraint applies to gross investment as well as consumption, then a permanent increase in the rate of monetary growth reduces the steady state capital stock. The effect on the speed of adjustment depends on the sign of a certain simple function of the parameters of preferences and technology.     

Optimal capital allocation using RAROC™ and EVA®

Equity capital allocation plays a particularly important role for financial institutions such as banks, who issue equity infrequently but have continuous access to debt capital. In such a context this paper shows that EVA and RAROC based capital budgeting mechanisms have economic foundations. We derive optimal capital allocation under asymmetric information and in the presence of outside managerial opportunities for an institution with a risky and a riskless division. It is shown that the results extend in a consistent manner to the multidivisional case of decentralized investment decisions with a suitable redefinition of economic capital. The decentralization leads to a charge for economic capital based on the division's own realized risk. Outside managerial opportunities increase the usage of capital and lead to overinvestment in risky projects; at the same time more capital is raised but risk limits are binding in more states. An institution with a single risky division should base its hurdle rate for capital allocated on the cost of debt. In contrast, the hurdle rate tends to the cost of equity for a diversified multidivisional firm. The analysis shows that hurdle rates have a common component in contrast to the standard perfect markets result with division-specific hurdle rates.     

An index of capital tax competition

If very specific assumptions are made about the production technology (output per worker is a quadratic function of the capital/labor ratio), people’s preferences (identical within any jurisdiction; linear in private good consumption and in public expenditure per capita), and capital supply (fixed), then equilibrium tax rates can be derived in closed form when jurisdictions choose their source-based tax rates on capital noncooperatively. The focus of this paper is how the size distribution of the population of the different jurisdictions affects equilibrium tax rates. It is shown that the (population-weighted) average tax rate is determined by a (relatively) simple index, which must increase as the population distribution becomes more concentrated. The effects of tax harmonization by some subset of the jurisdictions can then be analyzed. Any tax harmonization by a group of jurisdictions must benefit residents of all jurisdictions not in the group. It must also benefit residents of the largest jurisdiction in the group, and must increase the average payoff of all residents of the group of jurisdictions doing the harmonizing.     

Bank capital allocation under multiple constraints

We study how a bank allocates capital across its business units when facing multiple constraints over several periods. If a constraint tightens – be it because of stricter regulation or higher risk – capital flows to the more efficient unit, i.e. the unit offering a higher marginal return on required capital. Relative efficiency helps explain how a policy measure targeting a specific business unit – e.g. imposing requirements for market risk, or ring-fencing lending – spills over to another, seemingly unrelated unit. It also helps explain the bank’s response to the tightening of a constraint that is contemporaneously slack but likely to bind later on.     

Asset tangibility and capital allocation

Firms comprise divisions that often differ with respect to the degree of asset tangibility. As the strength of borrowing constraints depends on the liquidation value of assets, these firms influence their debt capacity by allocating funds across divisions. We argue that a company whose capital allocation is not verifiable suffers from a dynamic inconsistency problem, as it tends to allocate resources in favor of divisions with fewer tangible assets, leading to a tight borrowing constraint. When capital allocation is verifiable, committing to invest only little there eases this constraint, although it implies a deviation from a return maximizing allocation.     

Should bank capital regulation be risk sensitive?

We present a screening model of the risk sensitivity of bank capital regulation. A banker funds a project with uninsured deposits and costly capital. Capital resolves a moral hazard problem in the choice of the probability of default (PD). The project’s loss given default (LGD) is the banker’s private information. The regulator receives a noisy signal about the LGD and imposes a minimum capital requirement. We show that the optimal sensitivity of capital regulation is non-monotonic in the accuracy of risk assessment. If the signal is inaccurate, the regulator should use risk-insensitive capital requirements. Given sufficient accuracy, the regulator should separate types via risk-sensitive capital requirements, reducing the risk-sensitivity of bank capital as accuracy improves.     

Should business groups be dismantled? The equilibrium costs of efficient internal capital markets

We analyze the relationship between conglomerates’ internal capital markets and the efficiency of economy-wide capital allocation, and we identify a novel cost of conglomeration that arises from an equilibrium framework. Because of financial market imperfections engendered by imperfect investor protection, conglomerates that engage in winner-picking (Stein, 1997 [Internal capital markets and the competition for corporate resources. Journal of Finance 52, 111–133]) find it optimal to allocate scarce capital internally to mediocre projects, even when other firms in the economy have higher-productivity projects that are in need of additional capital. This bias for internal capital allocation can decrease allocative efficiency even when conglomerates have efficient internal capital markets, because a substantial presence of conglomerates might make it harder for other firms in the economy to raise capital. We also argue that the negative externality associated with conglomeration is particularly costly for countries that are at intermediary levels of financial development. In such countries, a high degree of conglomeration, generated, for example, by the control of the corporate sector by family business groups, could decrease the efficiency of the capital market. Our theory generates novel empirical predictions that cannot be derived in models that ignore the equilibrium effects of conglomerates. These predictions are consistent with anecdotal evidence that the presence of business groups in developing countries inhibits the growth of new independent firms because of a lack of finance.     

Social capital and payout policies

In this paper, we investigate the relationship between regional social capital and corporate payout policies. Using a large sample of US data, we find a positive relationship between regional social capital and both the likelihood and the amount of cash dividend payouts. However, we find that social capital has no bearing on the likelihood and amount of stock repurchases. The results from additional analyses show that the relationship between social capital and dividends is more pronounced for less geographically dispersed firms. We also find that the network component of social capital has a greater effect on dividends than the social norm component. Our results are robust to alternative specifications of dividends and social capital and to the use of a two-stage least squares (2SLS) analysis to alleviate endogeneity concerns. Overall, we document that regional social capital plays an important role in influencing cash dividend payout policies.     

Capital rationing, competition, and misrepresentation in budget forecasts

In this study, we ask: how does the intensity of internal competition for resources affect the communication of private information in an organization? Although competition between different divisions or units for resources is pervasive in many organizations, much of the accounting literature examines non-competitive resource allocation and thus does not provide guidance on this point. To address this question, we conduct an experiment in which a principal allocates capital among three agents, who can each propose a single project. In the high (medium, low) competition condition, principals have sufficient funds to accept only one (only two, all three) projects. We test three competing predictions based on prior literature: (1) Agents will make maximum credible misrepresentations under both medium and high competition, in order to maximize their chance of receiving capital. (2) Agents will weigh the disutility of misrepresentation against the expected utility of receiving project funding, resulting in more misrepresentation at medium than at high levels of competition, because the probability of receiving funding is lower in high competition. (3) Misrepresentation will be highest in high competition, because agents will interpret the high-competition setting as one in which misrepresentation is most necessary to win funding and most socially appropriate. Consistent with the second prediction, misrepresentation is highest in medium competition. These results suggest that a medium level of competition is a less favorable setting for voluntary information-sharing than either uncompetitive or high competition settings, and therefore costly formal enforcement mechanisms such as post-audits are likely to be more valuable in medium-competition settings.     

Internal Capital Markets and the Competition for Corporate Resources

This article examines the role of corporate headquarters in allocating scarce resources to competing projects in an internal capital market. Unlike a bank, headquarters has control rights that enable it to engage in “winner-picking”—the practice of actively shifting funds from one project to another. By doing a good job in the winner-picking dimension, headquarters can create value even when it cannot help at all to relax overall firm-wide credit constraints. The model implies that internal capital markets may sometimes function more efficiently when headquarters oversees a small and focused set of projects.     

Information disclosure and the feedback effect in capital markets

Are more informative credit ratings always preferred and how should regulators intervene to promote investment efficiency? To answer these questions, we develop a model in which a manager seeks financing for a project. The main frictions are that the manager is privately informed about the project’s quality and cannot commit not to divert resources away from it. This setting gives rise to a feedback effect in which creditors’ beliefs about whether the manager diverts resources can become self-fulfilling. A critical consequence of this feedback effect is that more precise ratings can be detrimental for investment efficiency. Intuitively, by revealing that a firm is of worse quality and increasing its cost of finance, more informative ratings strengthen the manager’s incentive to withdraw resources away from the project and default. We show that the regulation of credit rating agencies should be lenient during good times and strict during bad times.     

日本资本项目可兑换的历程及启示

日本从1964年宣布经常项目可兑换到1998年实现资本项目可兑换,前后大致经历了四个阶段,文章详细介绍了各阶段政策措施及经济背景,分析了中日两国在实现经常项目可兑换之后在国内外环境和采取的政策上存在的共同点和不同点,指出日本资本项目可兑换的经验为我们提供了启示与借鉴,在推进人民币资本项目可兑换的进程中,应处理好其与人民币国际化、汇率政策和经济结构调整的关系。     

Irreversible investment,managerial discretion and optimal capital structure

We explore the significance of employee compensation and alternative (reservation) income on investment timing, endogenous default, yield spreads and capital structure. In a real-options setting, a manager’s incentive to under(over)invest in a project is associated to labor income he has to forego in order to work on the project, the manager’s salary, his stake on the project’s equity capital and his subsequent income, should he decide to terminate operations. We find that the optimal level of coupon payments decreases with managerial salary and ownership stake while it is increasing in the manager’s reservation income. Yield spreads (optimal leverage ratios) are increasing (decreasing) in the manager’s salary and ownership stake, while they are decreasing (increasing) in the manager’s reservation income. Exploring agency costs of debt as deviations from a value-maximizing investment policy, we document a U-shaped relationship between agency costs of debt and the managerial compensation parameters: the manager’s reservation income, salary and ownership share.     

Social capital,human capital,and board appointments

This study investigates whether who a director knows is more important than what they know when it comes to gaining additional board seats. Specifically, we investigate the relative impact of human capital (a director's experiences, skills, and knowledge) and social capital (a director's connections to other directors) in gaining additional directorships. We employ a uniquely constructed index to measure human capital and Social Network Analysis to estimate a director's connectivity to other directors to proxy for social capital. We apply these to a sample of directors from publicly listed companies in New Zealand between 2000 and 2015. We observe that both human and social capital are positively related to acquiring additional board seats. Additionally, we find that directors gaining additional human capital are more likely to acquire additional board seats. We conclude that both human and social capital are important in determining which directors gain additional board seats, although directors should focus on acquiring additional human capital to enhance their chances of further appointments.