The relative value of growth

Most executives would say that adding a point of growth and gaining a point of operating-profit margin contribute about equally to shareholder value. Margin improvements hit the bottom line immediately, while growth compounds value over time. But the reality is that the two are rarely equivalent. Growth often is far more valuable than managers think. For some companies, convincing the market that they can grow by just one additional percentage point can be worth six, seven, or even ten points of margin improvement. This article presents a new strategic metric, called the relative value of growth (RVG), which gives managers a clear picture of how growth projects and margin improvement initiatives affect shareholder value. Using basic balance sheet and income sheet data, managers can determine their companies' RVGs, as well as those of their competitors. Calculating RVGs gives managers insights into which corporate strategies are working to deliver value and whether their companies are pulling the most powerful value-creation levers. The author examines a number of well-known companies and explains what their RVG numbers say about their strategies. He reviews the unspoken assumption that growth and profits are incompatible over the long term and shows that a fair number of companies are effective at delivering both. Finally, he explains how managers can use the RVG framework to help them define strategies that balance growth and profitability at both the corporate and business unit levels.     

The moments of the Gompertz distribution and maximum likelihood estimation of its parameters

The Gompertz distribution is widely used to describe the distribution of adult deaths. Previous works concentrated on formulating approximate relationships to characterise it. However, using the generalised integro-exponential function, exact formulas can be derived for its moment-generating function and central moments. Based on the exact central moments, higher accuracy approximations can be defined for them. In demographic or actuarial applications, maximum likelihood estimation is often used to determine the parameters of the Gompertz distribution. By solving the maximum likelihood estimates analytically, the dimension of the optimisation problem can be reduced to one both in the case of discrete and continuous data. Monte Carlo experiments show that by ML estimation, higher accuracy estimates can be acquired than by the method of moments.     

Market concentration and the likelihood of financial crises

According to theory, market concentration affects the likelihood of a financial crisis in different ways. The “concentration-stability” and the “concentration-fragility” hypotheses suggest opposing effects operating through specific channels. Using data of 160 countries for the period 1970–2009, this paper empirically tests these indirect effects of financial market structure. We set up a simultaneous system in order to jointly estimate financial stability and the relevant channel variables as endogenous variables. Our findings provide support for the assumption of channel effects in general and both the concentration-stability and the concentration-fragility hypothesis in particular. The effects are found to vary between high and low income countries.     

The impact of exchange rate deviations from relative PPP equilibrium on the U.S. demand for foreign equities

Applying fixed-effects panel data, this study investigates the impact of U.S. dollar exchange rate movements during different exchange rate states (overvaluation and undervaluation) on the monthly real gross and real net purchases of foreign equities by U.S. residents over the post-Plaza Accord period. The foreign equities come from 22 developed and 25 developing countries. Previous research has posited two alternative hypotheses regarding the relationship between exchange rates and foreign investment. These are the wealth effect and the profit-oriented effect. The evidence herein suggests that these two hypotheses coexist. We find robust evidence for a negative relationship between the exchange rate movements of an undervalued U.S. dollar and the demand for foreign equities. For developed countries, the wealth effect dominates the profit-oriented effect when the U.S. dollar is overvalued, while, for developing countries, the profit-oriented effect dominates the wealth effect. The results emphasize the importance of considering exchange rate states derived from a relative PPP equilibrium when analyzing U.S. allocations to foreign equities. The findings with respect to the macroeconomic control variables are mainly in agreement with the predictions of international financial theory. Some of the results, however, disappear or become inconclusive for the period after the bankruptcy of Lehman Brothers. This may be explained by the increased uncertainty in international financial markets following this unprecedented event. The findings are robust with respect to different constructed equilibrium exchange rates.     

Maximum likelihood estimation of the double exponential jump-diffusion process

The double exponential jump-diffusion (DEJD) model, recently proposed by Kou (Manage Sci 48(8), 1086–1101, 2002) and Ramezani and Zeng (http://papers.ssrn.com/sol3/papers.cfm?abstract_id=606361, 1998), generates a highly skewed and leptokurtic distribution and is capable of matching key features of stock and index returns. Moreover, DEJD leads to tractable pricing formulas for exotic and path dependent options (Kou and Wang Manage Sci 50(9), 1178–1192, 2004). Accordingly, the double exponential representation has gained wide acceptance. However, estimation and empirical assessment of this model has received little attention to date. The primary objective of this paper is to fill this gap. We use daily returns for the S&;P-500 and the NASDAQ indexes and individual stocks, in conjunction with maximum likelihood estimation (MLE) to fit the DEJD model. We utilize the BIC criterion to assess the performance of DEJD relative to log-normally distributed jump-diffusion (LJD) and the geometric brownian motion (GBM). We find that DEJD performs better than these alternatives for both indexes and individual stocks.     

A note on the consistency of maximum likelihood estimators

Abstract

A sequence of maximum likelihood estimators based on a sequence of independent but not necessarily identically distributed random variables is shown to be consistent under certain assumptions. Some examples are given to show that these assumptions are easy to verify and not very restrictive.     

The distribution of earnings relative to targets in the European Union

This paper provides evidence on the distribution of reported earnings relative to targets in the Member States of the European Union (EU). For a large sample of over 60,000 firm-years between 1986 and 2001, we find that more firms than expected (i) report small positive earnings, (ii) report small positive earnings changes and (iii) have zero or small positive forecast errors. These discontinuities are much more pronounced in the EU compared to the US, and the distributions of reported earnings and earnings changes are characterised by lower dispersion and more clustering around zero, consistent with higher income smoothing in Europe. Across the EU, we find that the avoidance of a loss or an earnings decrease is more common in those Member States which do not have a long history of accounting standard setting, and particularly in those which, until recently, were almost entirely law-based. The earnings distributions and earnings change distributions of UK firms resemble more those of their counterparts in the US. and differ from the rest of the EU. despite the various EU harmonisation efforts that have taken place.     

The likelihood ratio test statistic of mean-variance efficiency without a riskless asset

The question whether a given porfolio is mean-variance efficient is a basic problem of investment analysis. Mean-variance efficiency is also the basis of the Capital Asset Pricing Model. This paper presents the explicit form of the likelihood ratio test of the hypothesis that a given portfolio, or a particular market index, is ex-ante mean-variance efficient in the case where there is no riskless asset. Geometric relations are illustrated to provide intuition about the constrained maximum likelihood estimators and the test statistic, and two simple economic interpretations of the test are given.     

The search for relative value in bonds

Comparing asset swap spreads across bonds is a widely used tool for measuring relative value. This approach leads portfolio managers to increase their risk exposure in ways that are not transparent. Credit default swaps are utilized to demonstrate that viewing wide asset swaps as an indicator of relative value is a mirage. The paper documents the empirical regularities in the term structure of credit spreads and spread volatilities that make this result possible. In addition, we present empirical evidence of the imprint made on corporate bond returns by the widespread use of the asset swaps data.     

The relative and incremental value relevance of goodwill before and after SFAS No. 142

We explore the value relevance of goodwill against two benchmarks: other accounting information and long-lived tangible assets. Prior research suggests that fair value estimates for goodwill must be inferred from other available information because of the nature of goodwill, including its intangibility. Such inferences are highly discretionary and may limit the usefulness of reported goodwill estimates. Because Statement of Financial Accounting Standards (SFAS) No. 142 relies exclusively on fair value estimates to subsequently measure goodwill, reported values considering management’s increased discretion may be less reliable and less value relevant when presented in conjunction with other accounting information. However, the subsequent accounting measurement for goodwill is not dissimilar from the subsequent measurement for long-lived tangible assets, which are also subject to impairment. In general, impairment measurement is subjective; management may have greater insight, even in the presence of management incentives and other accounting information, that may help confirm or disconfirm investors’ own goodwill estimates. Using other accounting information and long-lived tangible assets as benchmarks for the value relevance of goodwill, we find that reported goodwill provides greater value relevance relative to other accounting information after SFAS 142 and that the difference between the value relevance of goodwill and other long-lived tangible assets is also significantly greater following SFAS 142.     

The great increase in relative wage volatility in the United States

Over the past 25 years, real average hourly wages in the United States have become substantially more volatile relative to output. Microdata from the Current Population Survey (CPS) is used to show that this increase in relative volatility is predominantly due to increases in the relative volatility of hourly wages across different groups of workers. Compositional changes of the workforce, by contrast, account for only a small fraction of the increase in relative wage volatility. Simulations with a Dynamic Stochastic General Equilibrium (DSGE) model illustrate that the observed increase in relative wage volatility is unlikely to come from changes outside of the labor market (e.g. smaller exogenous shocks or more aggressive monetary policy). By contrast, greater flexibility in wage setting due to deunionization and a shift towards performance-pay contracts as experienced by the U.S. labor market is capable of accounting for a substantial fraction of the observed increase in relative wage volatility. Greater wage flexibility also decreases the magnitude of business cycle fluctuations, suggesting an interesting new explanation for the Great Moderation.     

Maximum likelihood estimation of stochastic volatility models

We develop and implement a method for maximum likelihood estimation in closed-form of stochastic volatility models. Using Monte Carlo simulations, we compare a full likelihood procedure, where an option price is inverted into the unobservable volatility state, to an approximate likelihood procedure where the volatility state is replaced by proxies based on the implied volatility of a short-dated at-the-money option. The approximation results in a small loss of accuracy relative to the standard errors due to sampling noise. We apply this method to market prices of index options for several stochastic volatility models, and compare the characteristics of the estimated models. The evidence for a general CEV model, which nests both the affine Heston model and a GARCH model, suggests that the elasticity of variance of volatility lies between that assumed by the two nested models.     

The asymptotic relative efficiencies of tests and the derivatives of their power functions

Abstract

For comparing two consistent tests of a simple null hypothesis H ₀ : θ = θ₀ against a given alternative hypothesis H ₀ : θ = θ₁, the measure most frequently used is the asymptotic relative efficiency (ARE), due to Pitman (1948). The ARE is defined as the limit of the reciprocal of the ratio of sample sizes required to attain the same power. The limit is taken as sample sizes tend to infinity and simultaneously θ₁ → θ₀, this being necessary to keep the powers of the tests bounded away from 1.     

Maximum likelihood estimation of non-affine volatility processes

In this paper we develop a new estimation method for extracting non-affine latent stochastic volatility and risk premia from measures of model-free realized and risk-neutral integrated volatility. We estimate non-affine models with nonlinear drift and constant elasticity of variance and we compare them to the popular square-root stochastic volatility model. Our empirical findings are: (1) the square-root model is misspecified; (2) the inclusion of constant elasticity of variance and nonlinear drift captures stylized facts of volatility dynamics and (3) the square-root stochastic volatility model is explosive under the risk-neutral probability measure.