ESTIMATING RETURNS ON FINANCIAL INSTRUMENTS — STOCHASTIC ANALYSIS

The present paper addresses the problem of estimating returns on financial instruments when there is incomplete information about the instrument's cash flows. However unlike previous work in this area, it is assumed that the financial instrument's cash flows may be modelled as a stochastic function of time. This implies that the estimation error is a random variable and as a consequence, probability assessments can be made as to its likely magnitude. Using these procedures it is shown that traditional estimating methods considerably overstate actual returns. Further, it is also shown that returns are far from normally distributed. Given these results, it is doubtful whether any credibility can be attached to the standard two parameter methods of evaluating investment performance.     

ESTIMATING RETURNS ON FINANCIAL INSTRUMENTS: TIME VERSUS MONEY-WEIGHTED RETURNS

The present paper addresses the problem of estimating returns on financial instruments when there is incomplete information about the instrument's cash flows. Two return metrics are analysed; namely, the money-weighted return and the time-weighted return. Returns are usually reported in the financial media on a money-weighted basis. However, there is increasing evidence that returns measured on a time-weighted basis are more appropriate for the evaluation of financial performance. The present note outlines the relationship between the two return metrics and examines some estimation procedures which may be used.     

Endogenous Financial Constraint and Investment‐Cash‐Flow Sensitivity

This paper studies a dynamic investment model with moral hazard. The moral hazard problem implies an endogenous financial constraint on investment that makes the firm's investment sensitive to cash flows. I show that the production technology and the severity of the moral hazard problem substantially affect the dependence of the investment‐cash‐flow sensitivity on the financial constraint. Specifically, if the production technology exhibits almost constant returns to scale in capital or the moral hazard problem is relatively severe, the dependence is negative. Otherwise, the pattern is reversed to some extent. Moreover, the calibrated benchmark model can quantitatively account for the negative dependence of investment and Tobin's Q on size and age observed in the data.     

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.     

VALUATION EFFECTS OF OPEN MARKET STOCK REPURCHASES FOR FINANCIALLY WEAK FIRMS

We test the proposition that announcements of open market stock repurchases improve the flow of positive information regarding the firm's prospects, particularly for financially weak firms. For financially strong firms with already good prospects for cash flows, the role of stock repurchases is less important. We provide evidence for an inverse relationship between financial risk, measured by bond rating, and the magnitude of stock repurchase-induced abnormal returns. Results also suggest that the value of information implied by announcements of open market repurchases about increases in cash flows and leverage, is more important for financially weak firms than for financially strong firms.     

The Cash Flow Sensitivity of Cash

We model a firm's demand for liquidity to develop a new test of the effect of financial constraints on corporate policies. The effect of financial constraints is captured by the firm's propensity to save cash out of cash flows (the cash flow sensitivity of cash). We hypothesize that constrained firms should have a positive cash flow sensitivity of cash, while unconstrained firms' cash savings should not be systematically related to cash flows. We empirically estimate the cash flow sensitivity of cash using a large sample of manufacturing firms over the 1971 to 2000 period and find robust support for our theory.     

An Examination of Mandatorily Convertible Preferred Stock

I investigate the determinants of the use of mandatorily convertible preferred stock and assess market reaction to its issue. The security is dividend enhanced and converted into common stock within four years. Issuers have high debt ratios, low interest coverage, and bankruptcy risk. Market response to the issue was neutral suggesting the preferred issue resolved the lemon problem associated with common stock. Firms' Z-scores and abnormal returns are inversely related indicating the issues reduced financial distress. Market response was most positive for low risk firms with high cash flows.     

New estimates of the cost of capital for pharmaceutical firms

Academic researchers, as well as pharmaceutical firms themselves, often use the Capital Asset Pricing Model (CAPM) to estimate a firm's cost of capital. But the CAPM implicitly assumes that cash flows follow a random walk. This assumption is inconsistent with our finding that large U.S.-based pharmaceutical firms' cash flow growth rates display either momentum or mean-reversion. We show that growth rate momentum implies: (1) the systematic risk of a project increases monotonically with time to maturity of the cash flows; and (2) longer duration projects require a higher cost of capital. One of the practical implications of our results is that the traditional CAPM underestimates the cost of capital for some pharmaceutical firms by as much as 2.8%. These findings are quite relevant for the policy debate about the high rates of return earned by pharmaceutical companies, which some claim are pure rents and are not necessary to attract investors. Our theoretical and empirical analysis shows that high returns are often required to compensate for the higher systematic risk of long-duration pharmaceutical cash flows.     

Real and Financial Industry Booms and Busts

We examine how product market competition affects firm cash flows and stock returns in industry booms and busts. Our results show how real and financial factors interact in industry business cycles. In competitive industries, we find that high industry-level stock market valuation, investment, and financing are followed by sharply lower operating cash flows and abnormal stock returns. Analyst estimates are positively biased and returns comove more. In concentrated industries these relations are weak and generally insignificant. Our results are consistent with participants in competitive industries not fully internalizing the negative externality of industry competition on cash flows and stock returns.     

Cash management using multi-stage stochastic programming

We consider a cash management problem where a company with a given financial endowment and given future cash flows minimizes the Conditional Value at Risk of final wealth using a lower bound for the expected terminal wealth. We formulate the optimization problem as a multi-stage stochastic linear program (SLP). The company can choose between a riskless asset (cash), several default- and option-free bonds, and an equity investment, and rebalances the portfolio at every stage. The uncertainty faced by the company is reflected in the development of interest rates and equity returns. Our model has two new features compared to the existing literature, which uses no-arbitrage interest rate models for the scenario generation. First, we explicitly estimate a function for the market price of risk and change the underlying probability measure. Second, we simulate scenarios for equity returns with moment-matching by an extension of the interest rate scenario tree.     

What Cost of Capital Should You Use? The Market Has an Answer

The most widely used means of estimating a company's cost of equity capital is the Capital Asset Pricing Model (CAPM). But as a growing number of academics and practitioners have suggested, use of the CAPM produces estimates that often fail to reflect the risks of the companies as perceived by current and potential investors. The authors' work, together with other research, also suggests that the cost of equity produced by the CAPM is often too high. To the extent this is so, companies are discounting investment projects at rates of return that may be leading them to pass up value‐adding opportunities. The authors advocate the use of a simple and practical alternative to the CAPM that does not use either an assumed market risk premium or a beta. It uses instead an equity premium that is implied by the current market price of a company's stock and, as such, is implicitly derived from investors' assessments of the firm's risk that are reflected in that price. More specifically, the alternative approach solves for the internal rate of return that equates the present value of expected future cash flows to the current market price. In support of this approach, studies have shown that such market‐implied measures are better predictors than CAPM‐based estimates of future stock returns, both at the individual‐firm and aggregate market levels.     

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 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.     

Organization Capital and the Cross‐Section of Expected Returns

Organization capital is a production factor that is embodied in the firm's key talent and has an efficiency that is firm specific. Hence, both shareholders and key talent have a claim to its cash flows. We develop a model in which the outside option of the key talent determines the share of firm cash flows that accrue to shareholders. This outside option varies systematically and renders firms with high organization capital riskier from shareholders' perspective. We find that firms with more organization capital have average returns that are 4.6% higher than firms with less organization capital.     

Captive finance and firm's competitiveness

We study the effects of establishment of a captive finance subsidiary on parent firm's competitiveness. Firms with captives have higher profitability, larger market share, lower volatility of sales, and maintain lower cash balances. Following the establishment of a captive, a firm's profitability and its industry market share gradually increase, but it takes about four years to become economically relevant. Stock returns of companies with captive finance subsidiaries correlate more with finance industry returns than stock returns of companies without captives. We estimate that captives generate about 17% of parents' net income. Thus, significant part of profits of the largest U.S. industrial corporations comes from what in essence are financial services.     

Accounting Information, Disclosure, and the Cost of Capital

In this paper we examine whether and how accounting information about a firm manifests in its cost of capital, despite the forces of diversification. We build a model that is consistent with the Capital Asset Pricing Model and explicitly allows for multiple securities whose cash flows are correlated. We demonstrate that the quality of accounting information can influence the cost of capital, both directly and indirectly. The direct effect occurs because higher quality disclosures affect the firm's assessed covariances with other firms' cash flows, which is nondiversifiable. The indirect effect occurs because higher quality disclosures affect a firm's real decisions, which likely changes the firm's ratio of the expected future cash flows to the covariance of these cash flows with the sum of all the cash flows in the market. We show that this effect can go in either direction, but also derive conditions under which an increase in information quality leads to an unambiguous decline in the cost of capital.     

Cash holdings,risk, and expected returns

In this paper I develop and empirically test a model that highlights how the correlation between cash flows and a source of aggregate risk affects a firm's optimal cash holding policy. In the model, riskier firms (i.e., firms with a higher correlation between cash flows and the aggregate shock) are more likely to use costly external funding to finance their growth option exercises and have higher optimal savings. This precautionary savings motive implies a positive relation between expected equity returns and cash holdings. In addition, this positive relation is stronger for firms with less valuable growth options. Using a data set of US pubic companies, I find evidence consistent with the model's predictions.     

Accruals, Cash Flows and the Post‐Earnings‐Announcement Drift

Abstract:   Several prior studies have shown that cash flows have significantly greater impact on stock prices than accruals. We examine the implications of these findings for the post‐earnings‐announcement‐drift anomaly. We argue that, if investors under‐react to earnings news, then the larger price impact of cash flows causes the cash flow component of earnings news to predict future returns better than the accruals component. Consistent with this argument, we show that unexpected cash flows are more positively related to future returns, than are unexpected accruals. Also, unexpected cash flows are found to predict future returns above and beyond that predicted by earnings surprises. Finally, we show that a strategy that decomposes earnings news into its components significantly outperforms strategies based on earnings news alone. The results support under‐reaction explanations for the drift.     

Measuring macroeconomic exposure: The case of Volvo Cars*

Volvo Cars' economic exposure to exchange rates and other macroeconomic variables is estimated using quarterly cash flows as the firm's target variable. We discuss first several issues relating to management's view of the macroeconomic environment, as well as the firm's objective and structure. These issues must be addressed before multiple regression analysis can be implemented with the purpose of estimating exposures. the use of cash flow exposure coefficients for evaluating exposure and choosing currency denomination of liabilities is illustrated, and an out-of-sample analysis of the estimated exposure coefficients is carried out.     

Security Design

We explain why an issuer may wish to raise external capital by selling multiple financial claims that partition its total asset cash flows, rather than a single claim. We show that, in an asymmetric information environment, the issuer's expected revenue is enhanced by such cash flow partitioning because it makes informed trade more profitable. This approach seems capable of shedding light on corporate incentives to issue debt and equity, as well as on financial intermediaries' incentives to issue multiple classes of claims against portfolios of securitized assets.