Handling Valuation Models

Valuation models are useful tools, but they need to be handled with care. When taking the form of mathematical formulas, they can easily be made to convey a false sense of precision. In particular, selective choice of long‐term growth rates and discount rates can be used to justify almost any desired valuation. The author shows how relatively simple valuation models can be applied by active investors in a way that honors the fundamentalist dictum of building valuations on the foundation of “what we know” and avoiding speculation about long‐term growth rates. The article also emphasizes the role of accounting in discovering what we know, and shows how to use accounting results in a way that not only minimizes speculation about growth rates and discount rates, but actually challenges the speculation about those rates that is implicit in current stock prices. Accounting‐based valuation models are “reverse‐engineered” to discover the forecasts of future operating performance that are effectively built into current prices, so the plausibility of such forecasts can be evaluated with fundamental analysis. In this sense, valuation models are used not so much to discover the “right” price as to identify, and then subject to critical examination, the market's current expectations about future performance.     

Accounting-Based Valuation with Changing Interest Rates

This paper generalizes Ohlsons [Contemporary Accounting Research Vol. 11 No. 2. 661–687 (1995)] equity valuation framework to allow for stochastic interest rates. Much of this analysis initially deals with the specialized setting in which earnings suffice for cum-dividend value. In such a case, the beginning-of-period (lagged) rate determines the capitalization factor, not the current rate. The underlying earnings dynamic modifies the traditional random walk model via an additional term, namely current earnings multiplied by the percentage change in interest rates. The general model retains these basic aspects of the earnings-sufficiency setting. Empirical implications bear on the returns-to-earnings regression: The earnings-response coefficient decreases as the beginning-of-period rate increases.JEL Classification: M41, G12     

Earnings Components,Accounting Bias and Equity Valuation

In this paper we address three issues in accounting-based equity valuation: (i) How are valuation parameters related to earnings persistence and accounting conservatism when earnings components aggregate, or “add up”, in valuation? (ii) What does aggregation of earnings components in valuation imply for abnormal earnings dynamics? and (iii) When is an earnings component “irrelevant” and “core”?earnings the relevant construct for valuation? Assuming linear valuation, no-arbitrage, dividend irrelevance and clean surplus accounting, we show that when earnings components aggregate, valuation expressions and abnormal earnings dynamics are generalizations of the Ohlson (1995) model, incorporating simple adjustments for accounting conservatism. When “core” earnings are the relevant earnings construct, valuation expressions closely resemble the aggregation case, but core (abnormal) earnings replaces clean surplus (abnormal) earnings. We demonstrate that an earnings component can be irrelevant in valuation even when it is predictable.     

Valuation Relevance of Allowance for Funds Used During Construction and Operating Income: The Effects of Regulatory Climates and Deregulation

This study considers the valuation relevance allowance for funds used during construction (AFUDC), operating income (OI), and their innovations across regulatory climates and regulatory reforms. Valuation relevance is assessed by examining the coefficients and R ²s from the regressions of returns on AFUDC, OI, and their innovations. Regulatory climate is predicted to affect valuation relevance of earnings components on the premise that different regulatory regimes enact and enforce policies that differently affect (1) the uncertainty of future earnings, (2) the recovery of deferred assets, and (3) the sustainability of earnings innovations. In an extended analysis, indicators of rate-base valuation method and leverage are added as control variables to isolate their mediating effects on returns for electric utilities. Additional analysis considers the effects of the Energy Policy Act (EPAct) of 1992 on the valuation of earnings components. The results reveal that AFUDC and OI are valued differently relative to each other and across regulatory climates. The results also show a significant decline in the explanatory power of earnings components after the passage of the EPAct in 1992. Rate-base valuation method has no discernible effects on returns for the utilities. On the other hand, the effect of leverage on returns for the utilities is reliably negative.     

Gaussian models for Euro high grade government yields

This paper tests affine, quadratic and Black-type Gaussian models on Euro area triple A Government bond yields for maturities up to 30 years. Quadratic Gaussian models beat affine Gaussian models both in-sample and out-of-sample. A Black-type model best fits the shortest maturities and the extremely low yields since 2013, but worst fits the longest maturities. Even for quadratic models we can infer the latent factors from some yields observed without errors, which makes quasi-maximum likelihood (QML) estimation feasible. New specifications of quadratic models fit the longest maturities better than does the ‘classic’ specification of Ahn et al. [2002. ‘Quadratic Term Structure Models: Theory and Evidence.’ The Review of Financial Studies 15 (1): 243–288], but the opposite is true for the shortest maturities. These new specifications are more suitable to QML estimation. Overall quadratic models seem preferable to affine Gaussian models, because of superior empirical performance, and to Black-type models, because of superior tractability. This paper also proposes the vertical method of lines (MOL) to solve numerically partial differential equations (PDEs) for pricing bonds under multiple non-independent stochastic factors. ‘Splitting’ the PDE drastically reduces computations. Vertical MOL can be considerably faster and more accurate than finite difference methods.     

Pricing inflation-indexed derivatives with default risk

Inflation-indexed derivatives with default risk are modeled using the jump-diffusion processes in the Heath–Jarrow–Morton’s (HJM) [(1992). “Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claim Valuation.” Econometrica 60: 77–105] framework. A four-factor HJM model is proposed by incorporating an exogenous intensity function into a foreign currency analogy under the three-factor HJM model proposed by Jarrow and Yildirim [(2003). “Pricing Treasury Inflation Protected Securities and Related Derivatives Using a HJM Model.” Journal of Financial and Quantitative Analysis 38: 337–358]. The proposed model improves the valuation accuracy of zero-coupon inflation-indexed swaps (IIS) through calibrating the model to swap market data. In addition, the valuation formulas of year-on-year IIS and caps with default risk are derived.     

The Market's Valuation of Fraudulently Reported Earnings

This study examines the market valuation of accounting earnings during the period before it is publicly revealed that the earnings are fraudulent. Using both cross‐sectional and time‐series valuation models, we first find that the market accords less weight to earnings when the accounting numbers are fraudulent. We also show that the market better anticipates the presence of fraud when there is information in the public domain indicating a high ex‐ante risk of fraud. Our findings suggest that investors are able to accurately assess the probability of fraud and that such assessments affect the market's valuation of earnings even before it is publicly announced that fraud has occurred.     

Inflation illusion and the dividend yield: evidence from the UK

We report evidence that the UK dividend yield and expected inflation are positively correlated from 1962 to 1997, but negatively correlated subsequently. Using a commonly used VAR (vector auto-regression)-based procedure we find strong evidence that the positive correlation is caused both by inflation illusion and the effect of inflation on required rates of return. We also find some evidence that it is caused by inflation rationally reducing expected real dividend growth. We find that Chen and Zhao's (2009. “Return Decomposition.” Review of Financial Studies 22 (12): 5213–5249) criticism of the VAR-based procedure has little empirical relevance but that the procedure can be highly sensitive to the choice of data period.     

资源类上市公司的价值评估方法探讨

现有“利润加储量”的评估方法应用于资源类公司仍在某些环节出现悖论。本文认为，资源类上市公司的价值构成应包括矿权重估溢价、正常开采投资收益及个别公司的超额利润。其中，采矿权重估溢价的潜在收益应是在矿权未市场化之前的资源类企业获得的特有收益，但其收益期和相应的折现期也因矿权的逐步市场化而受到采矿权有效期的限制。本文用简单模型估算了主要资源类上市公司的基本价值。     

Securitized banking and interest rate sensitivity

Review of Quantitative Finance and Accounting - Gorton and Metrick (J Financ Econ 104:425–451, 2012) coin the term “securitized banking” to refer to the combination of asset...     

On the Stewardship and Valuation Implications of Accrual Accounting Systems

In this paper we explore the role of accruals in determining “earnings quality” from both a stewardship and a valuation perspective. We show that the valuation and stewardship qualities of accrual accounting are maximized by either an “aggressive” or a “conservative” accrual strategy. Furthermore, accrual strategy choices can be delegated to management as it does not benefit by implementing a strategy that is not in the best interests of the shareholders. We also investigate the implications of accrual strategies for standard empirical measures of “earnings quality”: regression coefficients and R²s from price‐earnings and market‐to‐book regressions. We show that such measures respond differently, and in some cases adversely, to the kind of strategies that make accounting constructs more correlated with the underlying economic activities of firms.     

Estimating the Cost of Capital Using Stock Prices and Near‐term Earnings Forecasts

Earnings‐based valuation models, although long used by finance practitioners, have become increasingly popular among finance academics as well. Among the most important reasons for academics' increased acceptance of earnings‐based valuation is the well‐documented claim that earnings over a short (three‐ to four‐year) forecast horizon tend to capture a large fraction—as much as 80%—of today's value, much more than is captured by near‐term forecasts of free cash flow, the measure long advocated by finance theorists as the basis for DCF valuation. But most important for the purposes of this article, the recognition that such a large percentage of the current values of many public companies is captured within a short forecast horizon has led to a large academic literature that uses earnings‐based valuation models together with current stock prices to “back out” estimates of the companies' implied expected rates of return and costs of equity capital. The effectiveness and precision of such reverse engineering depend on the reliability of the forecasts both within a finite forecast horizon and beyond. And although the models tested in academic work, which are based on large samples of forecasts and hard‐to‐verify assumptions about earnings beyond the forecast horizon, often do not appear to provide useful estimates, the author argues that such reverse engineering of the valuation models should become straightforward and workable once reliable forecasts of earnings are obtained—say, from the corporate (or investment) analysts who are familiar with the operations of the companies they work for (or cover).     

Model Comparison with Transaction Costs

Failing to account for transaction costs materially impacts inferences drawn when evaluating asset pricing models, biasing tests in favor of those employing high-cost factors. Ignoring transaction costs, Hou, Xue, and Zhang (2015, Review of Financial Studies, 28, 650–705) q-factor model and Barillas and Shanken (2018, The Journal of Finance, 73, 715–754) six-factor models have high maximum squared Sharpe ratios and small alphas across 205 anomalies. They do not, however, come close to spanning the achievable mean-variance efficient frontier. Accounting for transaction costs, the Fama and French (2015, Journal of Financial Economics, 116, 1–22; 2018, Journal of Financial Economics, 128, 234–252) five-factor model has a significantly higher squared Sharpe ratio than either of these alternative models, while variations employing cash profitability perform better still.     

On Accounting-Based Valuation Formulae*

This paper considers accounting-based valuation formulae. Its initial focus is on two problems related to residual income valuation (RIV). First, insofar valuation depends on theresent value of expected dividends per share, applying RIV requires clean surplus accounting on a per share basis. Awkwardly, equity transactions that change the number of shares outstanding generally imply eps ≠ Δ bvps − dps. A clean surplus equality holds only if one “re-conceptualizes” either end-of-period bvps or eps as a forced “plug”. Second, one cannot circumvent the per share issue by evaluating RIV on a total dollar value basis unless one introduces relatively subtle MM-type restrictions. In light of RIV’s unsatisfactory aspects, the paper proposes an alternative to RIV. This new approach maintains a strict eps-focus. It derives by replacing bvps _t in RIV with eps _{t +1} capitalized (i.e. divided by r). One obtains a formula such that the current market price equals next-period expected earnings capitalized plus the present value of expected abnormal earnings growth, referred to as AEG. A number of propositions then demonstrate the advantages of the AEG approach as compared to RIV. These results follow because eps _t+1 capitalized generally approximates market price better than bvps _t .*An earlier version of this paper was titled “Residual Income Valuation The Problems”.This revised version was published online in August 2005 with a corrected cover date.     

Market Value Of Insurance Liabilities

Abstract

With Statement of Financial Accounting Standards 115 (FASB 1993), insurers are now in the awkward situation that almost half of the balance sheet is marked to market. This has created a material inconsistency with the way liabilities are reported, thus diminishing the usefulness of financial reporting to shareholders and potential new investors. Discussion has emerged in the industry about the process of market valuing liabilities. The American Academy of Actuaries has formed a “Fair Valuation of Liabilities” task force to compare and review various alternative methodologies. During 1995 the Society of Actuaries and New York University jointly sponsored a conference on “Fair Value of Insurance Liabilities.” Motivated by the conference, this paper attempts to bridge the gap between option pricing and actuarial appraisal methodologies. The author suggests we refocus attention toward the assumption-setting process, which is the key driver of a fair valuation. In this regard, this paper attempts to advance practice and methodology with respect to life insurance company valuation.     

Accounting Standards and Earnings Management: Evidence from China

This article examines the effect of an asset impairment–related regulatory reform on earnings management in China. Chinese Accounting Standard No. 8 (CAS No. 8), which prohibits the reversal of long‐lived asset impairments, was promulgated to constrain managerial opportunism with respect to previously recognized impairment loss reversal. CAS No. 8 forbids the reversal of long‐lived asset impairment losses only, while allowing the reversal of short‐term asset impairment losses. Based on a sample of China's A‐share listed companies on the Shanghai and Shenzhen Stock Exchange during the period 2001–2008, we reveal that managers use less current asset write‐downs and more reversals in the post–CAS No. 8 period. However, such reporting practices do not appear to be influenced by managerial incentives to avoid reporting losses and/or for “big bath” accounting purposes.     

Analysts’ earnings forecasts: coexistence and dynamics of overconfidence and strategic incentives

This paper formulates a two-stage model to capture the decision process of financial analysts when issuing earnings forecasts. Our model extends the model of Chen and Jiang [(2005). Analysts’ weighting of private and public information. Review of Financial Studies, 19 (1), 319–355], by allowing for a distortion of forecasts independent of whether an analyst has private information. Using quarterly earnings forecasts, we provide empirical evidence on the coexistence of overconfidence and strategic incentives. Financial analysts overweight their private information and at the same time strategically inflate their forecast.     

The Term Structure of Implicit Discount Rates in Security Valuation

Abstract:   A reformulation of the residual income model is used to generate estimates of discount rates implicit in UK security prices. The terminal value of the infinite valuation model is incorporated into the coefficient on current earnings. By varying the length of the forecast horizon, different combinations of implicit discount rates are revealed that allow the estimation of time‐variant costs of equity. Results indicate no specific pattern of discount rates, thus revealing neither myopia on short‐term earnings nor excessive optimism on long(er)‐term earnings. Surprisingly, there is weak evidence that if any myopia exists, it is concentrated in larger and lower price‐earnings firms.