Proportionate Growth and the Theoretical Foundations of Financial Ratios

The article proposes a theoretical framework for understanding financial ratios, showing that the multiplicative character of the financial variables from which financial ratios are constructed is a necessary condition of valid ratio usage, not just an assumption supported by evidence. Also, by assuming that firm size is a measurable statistical effect, the article offers an informed reappraisal of the limitations of financial ratios, particularly the well–known limitation of proportionality. The article is divided into two parts, one where ratio components are viewed as deterministic vari– ables and the other where they are random. Such an approach allows the characteristics of ratios to be more easily understood before generalizing the relationship between ratio components to encompass randomness. In the second part, when variability introduced by firm size is treated as a random effect, it is shown that if the accounting variables Y and X used to calculate a financial ratio Y/X are exponential Brownian motion, and if continuous growth rates are equal and proportionate to firm size, this may lead to ratios which are asymmetric but which do not necessarily drift.     

Capital ratios and bank lending: A matched bank approach

This paper examines the impact of bank capital ratios on bank lending by comparing differences in loan growth to differences in capital ratios at sets of banks that are matched based on geographic area as well as size and various business characteristics. We argue that such comparisons are most effective at controlling for local loan demand and other environmental factors. For comparison we also control for local factors using MSA fixed effects. We find, based on data from 2001 to 2011, that the relationship between capital ratios and bank lending was significant during and shortly following the recent financial crisis but not at other times. We find that the relationship between capital ratios and loan growth is stronger for banks where loans are contracting than where loans are expanding. We also show that the elasticity of bank lending with respect to capital ratios is higher when capital ratios are relatively low, suggesting that the effect of capital ratio on bank lending is nonlinear. In addition, we present findings on the relationship between bank capital and lending by bank size and loan type.     

DETERMINANTS OF EARNINGS-PRICE RATIOS: A REEXAMINATION

This paper incorporates recent equity valuation theories into the examination of determinants of earnings-price (E/P) ratios to explain cross-sectional differences in E/P ratios. The results show that ex ante measures of risk and growth as well as the payout ratio are the main determinants of E/P ratios. The persistence measure is not significantly related to E/P ratios. The results are robust to ordinary least square models as well as to a tobit censored regression.     

METHODOLOGICAL IMPLICATIONS OF NON-NORMALLY DISTRIBUTED FINANCIAL RATIOS

Empirical studies have shown distributions of financial ratios are skewed. An explanation for this is given and it is argued that in such circumstances comparison of a fmancial ratio with some norm (e.g. industry average) is likely to misinform. It is also shown that where financial ratios are used as inputs to statistical models normality is irrelevant but a method of transformation into a normal distribution is provided whereby original interrelationships are preserved. Finally, because of the inadequacies of financial ratios, it is shown how regression analysis may be used in financial statement analysis.     

Optimal hedging in an extended binomial market under transaction costs

We develop an approach to optimal hedging of a contingent claim under proportional transaction costs in a discrete time financial market model which extends the binomial market model with transaction costs. Our model relaxes the binomial assumption on the stock price ratios to the case where the stock price ratio distribution has bounded support. Non-self-financing hedging strategies are studied to construct an optimal hedge for an investor who takes a short position in a European contingent claim settled by delivery. We develop the theoretical basis for our optimal hedging approach, extending results obtained in our previous work. Specifically, we derive a no-arbitrage option price interval and establish properties of the non-self-financing strategies and their residuals. Based on the theoretical foundation, we develop a computational algorithm for optimizing an investor relevant criterion over the set of admissible non-self-financing hedging strategies. We demonstrate the applicability of our approach using both simulated data and real market data.     

Investment decisions,net present value and bounded rationality

The Net Present Value maximizing model has a respectable ancestry and is considered by most scholars to be a theoretically sound decision model. In real-life applications, decision makers use the NPV rule, but apply a subjectively determined hurdle rate, as opposed to the ‘correct’ opportunity cost of capital. According to a heuristics-and-biases-program approach, this implies that the hurdle-rate rule is a biased heuristic. This work shows that the hurdle-rate rule may be interpreted as a fruitful strategy of bounded rationality, where several domain-specific and project-specific elements are integrated and condensed into an aspiration level. The paper also addresses the issue of a productive cooperation between bounded and unbounded rationality.     

What is the Intrinsic Value of the Dow?

We model the time-series relation between price and intrinsic value as a cointegrated system, so that price and value are long-term convergent. In this framework, we compare the performance of alternative estimates of intrinsic value for the Dow 30 stocks. During 1963–1996, traditional market multiples (e.g., B/P, E/P, and D/P ratios) have little predictive power. However, a V/P ratio, where V is based on a residual income valuation model, has statistically reliable predictive power. Further analysis shows time-varying interest rates and analyst forecasts are important to the success of V. Alternative forecast horizons and risk premia are less important.     

Capital structure with dividend restrictions

This paper develops a symmetric information model of a new firm which incorporates a constraint on dividend payments known as a balance sheet test. This test solves moral hazard problems that arise in credit markets where complete contracting over future actions is not possible. This constraint breaks down the traditional symmetric information result of separability between financial and real variables, and thus maximizing shareholder returns in this setting is not equivalent to maximizing total firm value. As a consequence, more profitable firms, those with a higher average product of capital, will have lower debt/equity ratios. Debt/equity ratios will be positively correlated with the firm's physical capital and negatively correlated with the firm's market power.     

Are regulatory capital adequacy ratios good indicators of bank failure? Evidence from US banks

Motivated by massive bank failures during the financial crisis, this paper examines whether capital adequacy ratios required by regulators are associated with bank failure. It investigates whether the association is affected by the bank's proximity to the minimum required capital ratios. If results show a significant association between regulatory capital and failure of banks falling below the minimum capital ratios, then the ratios are set at an adequate level. Examining a sample of 560 US bank holding companies for the period 2003–2009, results reveal that the association between the core (Tier 1) capital ratio and bank failure becomes significant only if the bank holding company has a Tier 1 capital ratio of less than 6%. This is the level below which US bank regulators do not regard banks as being well capitalized. During the financial crisis period of 2007–2009, there is a significant association only when the criterion is set at or above 8%. Market-based probability of default is more significantly associated with failure relative to Tier 1 capital ratio. The findings of this paper are relevant to regulatory policy discussions and Basel III deliberations on capital adequacy at times of financial turmoil.     

The Components of Accounting Ratios as Co-integrated Variables

Time series of accounting variables may often be non-stationary, i.e. they have a unit root, as in the common example of a random walk. This can lead to spurious results in time series regression analysis which uses such variables. The problem is overcome if the variables are co-integrated. This paper examines and tests the proposition that, where the variables are expressed in logarithmic form, calculating a ratio may capture the effects of co-integration. Thus, accounting ratios (calculated in logarithmic form) might be stationary, and therefore exempt from the econometric pathology associated with their component variables.