The term structures of equity and interest rates

This paper proposes a dynamic risk-based model capable of jointly explaining the term structure of interest rates, returns on the aggregate market, and the risk and return characteristics of value and growth stocks. Both the term structure of interest rates and returns on value and growth stocks convey information about how the representative investor values cash flows of different maturities. We model how the representative investor perceives risks of these cash flows by specifying a parsimonious stochastic discount factor for the economy. Shocks to dividend growth, the real interest rate, and expected inflation are priced, but shocks to the price of risk are not. Given reasonable assumptions for dividends and inflation, we show that the model can simultaneously account for the behavior of aggregate stock returns, an upward-sloping yield curve, the failure of the expectations hypothesis, and the poor performance of the capital asset pricing model.     

Accounting for Sovereign Risk When Investing in Emerging Markets

In theory, political risk is project‐specific and should be accounted for in the estimation of the expected investment cash flows. But in practice, the political risk associated with this type of investment is typically accounted for implicitly by adjusting the investment's required rate of return or the discount rate. As the authors discuss in the article, this approach disguises the specific assumptions being made about the risk of expropriation and so makes it difficult to assess this risk properly. While defending some aspects of current practice, the authors argue that corporate executives should consider some changes. For example, although a project analysis that is shared with the host government could incorporate a risk adjustment to the discount rate, the authors suggest that more explicit analysis of the anticipated risk of expropriation should be incorporated into the analysis of expected project cash flows. This analysis could involve making specific assumptions about the “term structure” of expropriation risk over the life of the investment. Finally, the authors note that the political risk of making investments in emerging economies can be managed to some extent. Investments can be structured in ways that reduce political risk by structuring project cash flows in ways that better align the incentives of the project sponsor and the government of the host country.     

Synthetic Floating‐Rate Debt: An Example of an Asset‐Driven Liability Structure

An asset‐driven liability (ADL) structure is analogous to a liability‐driven investment (LDI) strategy. In both cases, the intent is to reduce the risk arising from a mismatch of assets and liabilities by aligning the interest rate sensitivity of cash flows on both sides of the balance sheet. Increasingly, defined‐benefit pension plans have adopted LDI strategies that reduce their equity assets and increase the average duration of their debt assets to better match the typical long duration of their retirement obligations to its employees. To illustrate the concept of ADL, the authors use the example of a corporate issue of traditional fixed‐rate debt that is transformed into synthetic floating‐rate debt using an interest rate swap (in which the corporation receives the fixed rate on the swap and pays at money market reference rate like three‐month LIBOR). The use of such long‐term, floating‐rate debt reduces interest rate risk when the firm has operating revenues that are positively correlated to the business cycle. However, a problem arises in that there is limited demand for such debt securities from institutional investors, many of which, because of LDI guidelines, prefer long‐term, fixed‐rate securities. Derivatives provide a way of resolving this mismatch between issuer and investor interests. In the article, the authors present a detailed example of the cash flows on the “receive‐fixed” interest rate swap (and its valuation for financial reporting) to show how the synthetic ADL debt structure obtains the desired outcome.     

The Relation Between SFAS No. 95 Cash Flows From Operations and Credit Risk

This study examines the relevance of Financial Accounting Standards (SFAS) No. 95 operating cash flow disclosures for assessing a primary component of firm risk, namely credit risk. We find that SFAS No. 95 operating cash flows is an important determinant of credit risk, measured by debt ratings, incremental to other profitability and risk–related information. We also find that operating cash flows have a stronger incremental relation to credit risk for firms with a larger proportion of long–term debt and larger firms with lower operating uncertainty. Interestingly, cash flows appear to have less incremental importance for firms in high tech and regulated industries.     

PROJECT HOLDING-PERIOD RATE OF RETURN AND THE MIRR

In this paper we examine the relationship between the Modified Internal Rate of Return (MIRR) and a project's expected holding-period rate of return assuming that cash flows are reinvested at the cost of capital. When cash flows are uncertain, the MIRR overstates the expected holding-period rate of return. The relationship between the MIRR and a project's expected holding-period rate of return is shown to be a simple function of conventional project statistics like the coefficient of variation of the present value of random cash flows, the profitability index, the cost of capital, and the project's life.     

Implementing Fischer Black's Simple Discounting Rule

Corporate managers typically estimate the value of capital projects by discounting the project's expected future net cash flows at the cost of capital. The capital asset pricing model (CAPM) is generally used to estimate that cost. But, as anyone who has worked on the finance or business development staff of a public company can attest, there are major challenges in applying the CAPM, including largely unresolved questions about what constitutes the “market portfolio,” how to estimate market risk premiums, and how to estimate the betas of projects. In a short article published in Financial Management in 1988, Fischer Black proposed a valuation “discounting rule” that avoids all these problems—one that involves discounting a relatively certain (as opposed to an expected or average) level of operating cash flows at the risk-free rate. But Black's article does not address the question of how to calculate these “certainty equivalent” or “conditional” cash flows. In this article, the authors propose a way of implementing Black's rule that involves estimating the “conditional” cash flows in a three-step procedure:

• • Find a benchmark security that correlates with the project's cash flows;
• • Estimate the percentiles of the distribution in which the benchmark return equals the risk-free rate over different investment horizons;
• • Use information from corporate managers to assess the cash flows that define the same percentiles in the cash flow distributions.

As the authors point out, the virtue of Black's rule is that it shifts the focus of the analyst away from the assessment of discount factors and puts it squarely on the more challenging, and arguably more relevant, problem of estimating the project's cash flows.     

What lies beneath: Foreign exchange rate exposure,hedging and cash flows

This paper presents results from an in-depth analysis of the foreign exchange rate exposure of a large nonfinancial firm based on proprietary internal data including cash flows, derivatives and foreign currency debt, as well as external capital market data. While the operations of the multinational firm have significant exposure to foreign exchange rate risk due to foreign currency-based activities and international competition, corporate hedging mitigates this gross exposure. The analysis illustrates that the insignificance of foreign exchange rate exposures of comprehensive performance measures such as total cash flow can be explained by hedging at the firm level. Thus, the residual net exposure is economically and statistically small, even if the operating cash flows of the firm are significantly exposed to exchange rate risk. The results of the paper suggest that managers of nonfinancial firms with operations exposed to foreign exchange rate risk take savvy actions to reduce exposure to a level too low to allow its detection empirically.     

Terminal Value,Accounting Numbers,and Inflation

In a 2008 article published in this journal, Michael Bradley and Gregg Jarrell argue that the well‐known Gordon‐Shapiro (henceforth “GS”) model for calculating terminal values does not properly account for the effects of inflation. Bradley and Jarrell suggest modifying the growth factor in the standard GS model by adding an additional term to the nominal growth rate that reflects the positive effect of inflation on the value of existing assets. In this article, the authors support the original Gordon‐Shapiro method for calculating terminal values by showing what they believe to be an oversight of the Bradley‐Jarrell critique. According to the authors, the disagreement stems from the use of fundamentally different assumptions about the effect of inflation on the capital investment required to sustain a business. Although Bradley‐Jarrell agree with the authors that intrinsic value is the discounted value of future free cash flows, their assumptions about capital investment effectively lead them to conclusions similar to those practitioners who attempt to value companies on the basis of discounted future accounting earnings. Despite much common practice, the GS model was meant to be applied to free cash flows, not accounting earnings. And for companies with substantial capital investment, the differences between accounting earnings that involve accruals and free cash flows can be very large.     

TOWARD A MORE COMPLETE MODEL OF OPTIMAL CAPITAL STRUCTURE

Most corporate finance practitioners understand the trade-off involved in making effective use of debt capacity while safeguarding the firm's ability to execute its business strategy without disruption. But quantifying that trade-off to arrive at an optimal level of debt can be a complicated and challenging task. This paper develops a simulation model of capital structure that starts by generating multiple estimates of market rates (LIBOR, currency rates) and corresponding company operating cash flows. To arrive at an optimal capital structure, the model then incorporates the shareholder value effects of alternative financing decisions by directly measuring the costs of financial distress, including the costs of missed investment opportunities and higher working capital requirements.
The model generates both a target credit rating and a lower fallback rating that permits a higher level of debt to maintain investments and dividends when operating cash flows are weak. As the model shows, companies with volatile cash flows and significant investment opportunities can add substantial shareholder value by establishing a fallback credit rating that is one or two notches below the target rating. The model also optimizes the mix of fixed versus floating debt, the maturity structure, and the currency composition. Another distinctive feature of the model is its ability to estimate the expected cost of alternative liability structures that can provide the liquidity insurance necessary to sustain the firm through periods of severe stress. This cost turns out to be quite small relative to the total market capitalization of the average firm.     

The usefulness of operating cash flow and accrual components in improving the predictive ability of earnings: a re‐examination and extension

We examine whether the components of accruals and operating cash flows improve the predictive ability of earnings for forecasting future cash flows. Unlike most previous studies, we avoid data estimation errors and sample self‐selection bias because we exploit data from Australia where reporting of actual cash flow components had been mandatory since 1992. We show that accrual components and operating cash flow components together are more useful than (i) earnings, (ii) operating cash flows and total accruals and (iii) the combination of operating cash flows with accrual components in forecasting future cash flows. These results are robust to several contextual factors, including the length of the operating cash cycle, industry membership, firm profitability and firm size.     

Capital Project Analysis When Cash Flows Evolve as a Continuous Time Branching Process

Optimal capital budgeting criteria now exist for a variety of applications when project cash flows (or present values) evolve in terms of the well-known geometric Brownian motion. However, relatively little is known about the capital budgeting procedures that ought to be implemented when cash flows are generated by stochastic processes other than the geometric Brownian motion. Given this, our purpose here is to develop optimal investment criteria for capital projects with cash flows that evolve in terms of a continuous time branching process. Branching processes are compatible with an empirical phenomenon known as 'volatility smile'. This occurs when there are systematic fluctuations in the implied volatility of a capital project's cash flows as the cash flow grows in magnitude. A number of studies have shown that this phenomenon characterizes the cash flow streams of the capital projects in which firms typically invest. We implement optimal capital budgeting procedures for both the continuous time branching process and the geometric Brownian motion using cost and revenue data for the Stuart oil shale project in central Queensland, Australia. This example shows that significant differences can arise between the optimal investment criteria for cash flows based on a branching process and those based on the geometric Brownian motion. This underscores the need for the geometric Brownian motion broadly to reflect the way a given capital project's cash flows actually evolve if serious errors in valuation and/or capital budgeting decisions are to be avoided.     

Accounting for Risk and Return in Equity Valuation

Standard valuation models forecast cash flows or earnings, add a growth rate, and discount the cash flows to their present value with a discount rate that typically reflects the cost of capital. But as the author argues, projecting the long‐term growth rate is essentially speculative; and along with uncertainty about the growth rate, analysts generally do not have a good grasp of the discount rate either. Thus, instead of reducing uncertainty, these two features effectively compound uncertainty in valuations in the sense that slight changes in the growth rate or discount rate can change the valuation considerably. In this article, the author proposes an alternative approach that views the investor's problem as one of challenging the speculations that are built into the current market price, particularly the speculation about growth. Rather than building in a speculative growth rate (and thereby treating it as if it were a certainty), the author's approach turns the problem on its head by using an accounting analysis of the firm's current earnings and cash flows that provides a basis for recognizing the speculative component of the current stock price. More specifically, the author's analysis identifies the future earnings growth path that is implied by the market price, which can then be evaluated with the question: Do I want to pay for this growth? Because growth expectations are risky, additional analysis can be used to provide an understanding of the risk and return to buying growth, and of the upside and downside if risk growth expectations are not realized. By taking such an approach, investors incorporate their understanding of risk not by increasing the discount rate, but by recognizing that the primary risk in investing is the risk of overpaying for growth.     

The role of accruals and cash flows in explaining security returns: Evidence from New Zealand

This paper empirically examines the relative and incremental information content of earnings and cash flows and the role of firm-specific contextual factors in moderating information content in New Zealand. Accounting earnings are considered to be the premier information source for decision making and a substantial volume of literature, primarily in the United States, shows that earnings provide superior information to that of cash flows. However, significant reporting differences in New Zealand warrant and investigation of the role of earnings and cash flows to explain security returns. Results show that (a) earnings have higher explanatory power than cash flows, although the difference is not statistically significant, and (b) both earnings and cash flows have incremental information content for stock returns. Further analysis shows that the valuation role of earnings and cash flows is moderated by firm-specific factors.     

Spanning and efficiency in an economy with collective and individual risks

Much of the literature on incomplete markets emphasizes the study of conditions under which security market returns, either with or without derivative securities, span some exogenous set of cash flows. It is argued here that the only set of exogenous cash flows to which this literature is applicable are those that are contingent on existing assets' returns. The reason for this is that cash flows created by firms' production decisions are likely to be influenced by individual (unique) risk that is not incorporated into the market's existing information structure. The results of this article show that, if individual risk is pervasive, efficient allocation is likely to be achieved only in a large asset market which allows for the diversification of individual risk. The conditions for such diversification are derived and their implications discussed.     

A theory of corporate financial decisions with liquidity and solvency concerns

This paper studies the impact of both liquidity and solvency concerns on corporate finance. I present a tractable model of a firm that optimally chooses capital structure, cash holdings, dividends, and default while facing cash flows with long-term uncertainty and short-term liquidity shocks. The model explains how changes in solvency affect liquidity and also how liquidity concerns affect solvency via capital structure choice. These interactions result in a dynamic cash policy in which cash reserves increase in profitability and are positively correlated with cash flows. The optimal dividend distributions implied by the model are smoothed relative to cash flows. I also find that liquidity concerns lead to a decrease of dispersion of credit spreads.     

The Incremental Information Content of Earnings and Cash Flows from Operations Affected by Their Extremity

Previous returns studies have shown that extreme earnings and extreme cash flows from operations are less informative than moderate (i.e., less extreme) earnings and moderate cash flows. Studies also report that cash flows supplement to earnings in firm valuation by showing a higher association of cash flows with returns when earnings are extreme than when earnings are moderate. We propose that this supplementary role of cash flows is affected by cash flows extremity. Using data from the US capital markets, we find that the supplementary role of cash flows exists only when cash flows are not extreme. We also investigate the supplementary role of earnings to cash flows and search for a higher association of earnings with returns when cash flows are extreme than when cash flows are moderate. Similar to results on cash flows, our findings show that the supplementary role of earnings exists only when earnings are not extreme. Our results imply that investors and researchers should consider both earnings and cash flows extremity when assessing the information content of these variables.     

The Association Between Operating Cash Flows and Dividend Changes: An Empirical Investigation

The Association between earnings and dividend changes has been established since Lintner's (1956) pioneering work. Subsequent research attempted to establish an association between operating cash flows and dividend changes, given earnings, without success (Simons, 1994). Recently, there has been increased attention in cash flow reporting. Regulatory bodies worldwide have stressed the significance of cash flow information in capital markets. Research on the association between cash flows and dividends has been limited, yielding inconclusive results. The purpose of this study is to re-evaluate and extend prior studies by examining the incremental ability of cash flows to explain dividend changes, given earnings. We argue that a positive relationship between cash flows and dividend changes should exist due to liquidity and accruals management considerations. The empirical evidence of this study supports that the dividend changes-cash flow relationship is significantly positive (a) when operating cash flows are low compared to earnings, and (b) when firm growth is moderate.     

Correlated interest rate risk and funding strategies for nonfinancial firms

This paper considers appropriate funding strategies for nonfinancial firms when operating cash flows are correlated with interest rates. An example expression is provided for the optimal funding position when the firm has a two-period investment horizon. The conclusion is that matching will be the best strategy if the unbiased expectations hypothesis of the term structure holds and operating cash flows are uncorrelated with interest rates. Since the optimal funding position will be the minimum-risk one if the expectations hypothesis holds, the properties of the minimum-risk funding strategy are also investigated. The primary result is that maturity matching will not necessarily be the optimal funding strategy even when, on average, the cost of long- and short-term funds is the same. Finally, some empirical estimates of minimum risk funding positions for nonfinancial firms are provided using data from the Quarterly CompuStat files. The data indicate that changes in corporate operating earnings are, on average, significantly positively correlated with changes in short-term interest rates, but that there is substantial cross-sectional variation across companies in our sample.     

How common are credit-less recoveries? Firm-level evidence on the role of financial markets in crisis recovery

We study firm recoveries from systemic sudden stops in developing countries, where firms' cash flows suffer exogenous shocks. Contrary to macro studies suggesting that output recovery precedes that of the financial sector, firm-level data shows that only in less than a third of firms, operating cash flows recover without a recovery in external credit, and even these firms have access to other sources of cash. Specifically, firms with high prior short-term debt exposure do experience a sharp reduction in short-term credit but increase operating cash flows during a crisis. Firms with high prior cash holdings experience negative cash flows and deplete their cash holdings. Thus, firms' financial prepositioning predicts recovery in cash flows and is consistent with trade-off theories of capital structure and with precautionary motives for cash holdings. We find no support for the maturity mismatch hypothesis, which predicts that firms with high short-term debt should have harder recoveries post crisis.