www.som.yale.edu/Faculty/jkt7  
 

Jacob Thomas
Williams Brothers Professor of Accounting & Finance

Yale School of Management
P.O. Box 208200
New Haven, CT 06520-8200

Phone 203.432.5977
Fax 203.432.6974

 

jake's research page



I have a collection of research related material here that can be downloaded.

Surprising absence of scale for forecast error and forecast dispersion distributions
updated 10/2008.

ABSTRACT
While levels of actual and consensus forecast earnings per share (EPS) vary with scale (measured typically by share price), magnitudes of the difference (or forecast errors) do not vary with scale. That is, forecast errors within a certain range (e.g., +/- 5 cents per share) are equally likely for both high-price and low-price shares. We also find a similar lack of variation with scale for forecast dispersion, representing magnitudes of the difference between individual forecasts and the consensus (mean) for that firm-quarter. The prior literature has assumed that magnitudes of forecast errors (representing predictability) and forecast dispersion (representing disagreement across analysts) vary naturally with scale and has deflated both variables accordingly. Our results suggest that either both variables do not vary naturally with scale or they vary with scale but other effects reverse that variation. Our finding that both variables exhibit scale variability around stock splits is consistent with the latter. In either case, deflation can cause biased estimates.



Revisiting the Basu (1997) estimate of conditional conservatism
updated 10/2008.

ABSTRACT
Basu (1997) offers a measure of ex post accounting conservatism, based on the excess of the timeliness with which observed bad news is recorded in earnings over that for good news. Timeliness is represented by the slope of a regression of earnings (scaled by lagged price) on returns. We provide new evidence which suggests that those conservatism estimates be used with caution because they mainly reflect the lagged E/P and loss firm effects, two effects unrelated to conditional conservatism. Observing similar results when earnings in the timeliness regressions is replaced by lagged earnings suggests that timeliness is affected substantially by the E/P anomaly (complex relation between current returns and lagged earnings-to-price ratios), since lagged earnings should not reflect current period news. The loss firm effect is supported by our finding that the timeliness coefficient for bad (good) news subsamples is positively (negatively) related to the fraction of firms reporting losses in those subsamples. We believe that prior findings based on time-series and cross-sectional variation in the Basu measure are potentially confounded by corresponding variation in the E/P and loss firm effects. We illustrate that potential by investigating variation in the measure across book-to-market ratios and size. Replacing earnings levels in the timeliness regressions with earnings changes, to control for the lagged E/P effect, reduces substantially estimates of conservatism as well as the bias due to the loss firm effect.



Tax benefits of LILO transactions
updated 1/2007.

ABSTRACT
Tax shelters have received recent scrutiny in the financial economics literature because of their impact on firm decisions. While the source of tax benefits for many types of shelters are fairly straightforward, they are not as evident for Lease in Lease out (LILO) transactions. This paper uses spreadsheet models to understand how tax benefits are generated in LILO transactions and to identify factors that enhance the magnitude of those tax benefits.



Tax expense surprises and future returns
updated 12/2007.

ABSTRACT
We investigate whether surprises in quarterly tax expense predict future returns, after controlling for surprises in after-tax book income. We find that seasonally-differenced quarterly tax expense, our proxy for tax expense surprise, is positively related to future returns over the next two quarters. We confirm that this anomalous link is separate from other anomalies documented in the prior literature, such as size, book-to-market, accruals, and price momentum, as well as two anomalies related to tax variables. While higher expense might intuitively imply bad news, in this case higher tax expense signals good news as it is positively related to pre and after-tax income. Our results suggest that this good news is incorporated in stock prices with a delay because investors do not recognize fully the ability of tax expense surprises to predict two key variables that are released in the next two quarters—future book income and future tax expense.


Overreaction to intraindustry information transfers?
updated 12/2007.

ABSTRACT
Prior research has documented that earnings announcements provide information not only about the announcing firm but also about other firms in the same industry. We document a stock market anomaly associated with this phenomenon of intra-industry information transfers by showing that the stock price movements of late announcers in response to earnings reported by early announcers are negatively correlated with the subsequent price responses of late announcers to their own earnings reports. Apparently, the stock market overestimates the intra-industry implications of early announcers’ earnings for late announcers’ earnings, and that overestimation is corrected when late announcers disclose their earnings.


Inflation illusion and stock prices: Comment
updated 7/2007.

ABSTRACT
The results reported in Campbell and Vuolteenaho (2004) suggest that stock markets suffer from massive inflation illusion as suggested by Modgliani and Cohn (1979). That is, investors incorrectly project the same nominal growth during high and low inflation, when they should project the same real growth. As a result stock prices are too high (low) when expected inflation is low (high). We reinvestigate their data and find that their results are sensitive to the sample period studied, the proxy used for expected inflation, the use of dividends versus earnings yields, and the VAR methodology employed. We suggest that it is premature to conclude that the stock market suffers from inflation illusion.



Accounting rules and the relation between earnings yields and inflation
updated 8/2007.

ABSTRACT
Financial economists expect assets with real cash flows, such as inventory, plant, and property, to have earnings yields (ratio of next period’s nominal earnings divided by current price) that are “real”, in the sense that they should not vary with expected inflation. The evidence, however, suggests that earnings yields do in fact vary over time with inflation. One explanation suggested for this contrary evidence is that investors adjust nominal discount rates for expected inflation but not nominal growth rates. I claim that such a drastic conclusion is premature because the original arguments for real earnings yields do not incorporate the accounting rules underlying reported earnings. I construct spreadsheet simulations that project accounting earnings for different asset classes and find that earnings yields for real assets should in general vary with inflation. The intuition for my findings is straightforward: because inflationary holding gains are generally included in accounting earnings, higher inflation is associated with higher nominal earnings, which then implies higher earnings yields.


Don't fight the Fed Model
updated 4/2008.

ABSTRACT
Over the past decade two remarkable regularities have emerged regarding expected inflation’s impact on earnings yields and growth: a) stocks in recent years are priced like Government bonds (forward earnings yields for stocks move with long-term risk-free rates and expected inflation), and b) analysts’ forecasts of nominal earnings growth remained steady, around 12 percent, despite substantial variation in expected inflation. The first finding, known as the Fed model, has raised fears of inflation illusion; i.e., investors mistakenly project the same nominal growth rates during high and low inflation periods, when they should project the same real growth rate for firms holding real assets. Cliff Asness, in his 2003 FAJ paper, urges investors to “fight” the Fed model. The second regularity confirms that fear. Despite the logic and evidence supporting inflation illusion, the investor naiveté implied is so large that it strains credulity. We take the opposite tack and investigate the possibility that these two findings are consistent with a rational market. We consider the accounting rules underlying reported earnings to show why the recording of inflationary holding gains causes earnings yields to move with inflation (the first regularity). And we show that growth forecasts are confirmed by observed growth; i.e., it is rational to forecast nominal growth that does not vary with inflation (the second regularity) because real growth is in fact negatively related to expected inflation. Overall, readers should embrace the Fed model because it yields important insights about stock market valuation.


Tip of the Iceberg?
(Mathur/Kirschenheiter/Thomas thought piece) updated 8/18/02.



Contributed capital versus retained earnings: tax differences and value implications
(Li/Shackelford/Thomas working paper) updated 9/3/02.

ABSTRACT
The investor-level tax rate on dividends that is capitalized in share prices is an important issue that remains unresolved. Recent research has examined whether the tax code feature that exempts dividend taxes on return of contributed capital can be used to infer the extent of dividend tax capitalization. Intuitive arguments have been made by Harrris and Kemsley (1999) to generate predictions for how the coefficients estimated from regressions of stock prices on book value of equity and trailing earnings should vary with the proportion of equity represented by contributed capital. While the observed results suggest that share prices capitalize dividend taxes at a fairly high rate, some have questioned the regression specification used, since these predictions are not formally derived, and also raised concerns about empirical issues relating to the results. We return to the primitive stream of taxable and tax-exempt dividends and derive an alternative specification. Our results do not support the hypothesis that stock prices distinguish between contributed capital and retained earnings. We are, however, unable to offer evidence relating to the underlying question regarding the extent of dividend tax capitalization.


Accounting for employee stock options
(Mathur/Kirschenheiter/Thomas working paper) updated 12/9/03.

ABSTRACT
Accounting for employee stock options is affected by whether outstanding options are viewed as equity or liabilities. The common perception is that the FASB’s recommended treatment (per SFAS 123), which is based on the options-as-equity view, results in representative financial statements. We argue that this treatment distorts performance measures for three reasons. First, the deferred taxes associated with nonqualified options should also be included as equity, but are not. Second, since unexpected share price changes affect optionholders and equityholders differently, combining their interests provides an average earnings effect that is not representative for either group. We show that efforts to isolate the interests of common stockholders via diluted earning per share calculations (per SFAS 128) are inherently incapable of identifying wealth transfers between stockholders and optionholders. Finally, projections of future cash flow statements prepared under SFAS 95 overstate cash flows to current equityholders by the pre-tax value of projected option grants. We show that these distortions can be avoided simply by accounting for options as liabilities at grant and thereafter recognizing changes in option values (similar to the accounting for stock appreciation rights). Our analysis of stock option accounting leads to two, more general implications: a) all hybrid securities issued by firms, other than common equity, should be treated as liabilities, thereby simplifying the equity vs. liability distinction, and b) these liabilities should be recorded at fair values, thereby obviating the need to consider earnings dilution.



Another look at P/E ratios
(Thomas/Zhang working paper) updated 2006.

ABSTRACT
Price-earnings (P/E) ratios should be positively related to growth and negatively related to interest rates and risk. Whereas earlier investigations of the determinants of P/E ratios find these links to be weak, results of recent research estimating the cost of capital imply stronger links. The two sets of research employ different sets of proxies for P/E ratios (trailing vs. forward ratios), growth (observed vs. forecast growth) and risk. We update the literature investigating the determinants of P/E ratios by contrasting the results based on the two sets of proxies. We also investigate a recent finding which suggests that forward P/E ratios are negatively related to the volatility of reported earnings, even though reported earnings volatility does not appear in the relation derived for forward P/E ratios. Our results suggest an indirect connection: firms with lower earnings volatility, due to lower cash flow volatility and greater earnings smoothing due to accruals, are associated with higher growth prospects and lower risk.


Is Cash flow King in Valuations?
(Liu/Nissim/Thomas 2007 paper in FAJ) updated 2/12/07.

ABSTRACT
Contrary to the common perception that operating cash flows are better than accounting earnings at explaining equity valuations, recent studies suggest that valuations derived from industry multiples based on reported earnings are closer to traded prices than those based on reported operating cash flows. The question addressed in the article is whether the balance tilts in favor of cash flows when the following are considered: (1) forecasts rather than reported numbers, (2) dividends rather than operating cash flows, (3) individual industries rather than all industries combined, and (4) companies in non-U.S. markets. In all cases studied, earnings dominated operating cash flows and dividends.

On the informational usefulness of R&D capitalization and amortization
(Lev/Nissim/Thomas working paper) updated 3/15/02.

ABSTRACT
Under U.S. GAAP, reported balance sheet and income statements are based on immediate expensing of R&D expenditures. We capitalize those expenditures and derive adjusted equity book values and earnings using simple amortization techniques (straight-line over assumed industry-specific useful lives). After confirming that such adjustments increase the association of book values/earnings with contemporaneous stock prices (and future earnings), we examine the relation between those adjustments and future returns. Despite the approximate nature of our adjustments, they predict stock price movements over the next 20 months. Apparently, capitalization and amortization of R&D provides information not fully reflected in stock prices.

Inventory changes and future returns
(Thomas/Zhang working paper) updated 12/29/01

ABSTRACT
We find that the negative relation between accruals and future abnormal returns documented by Sloan (1996) is due mainly to inventory changes. We propose three explanations for this result, derived from the prior literature, but find evidence inconsistent with all three explanations. To assist future investigations in formulating additional explanations, we document several empirical regularities for extreme inventory change deciles. We speculate that demand shifts explain our results, and examine the feasibility of alternative reasons for the stock market's apparent inability to recognize the impending profitability reversals. Our evidence is consistent with earnings management masking the implications of demand shifts.

Equity valuation using multiples
(Liu/Nissim/Thomas, forthcoming in Journal of Accounting Research) updated 4/10/01.

ABSTRACT
We examine the valuation performance of a comprehensive list of value drivers and find that multiples derived from forward earnings explain stock prices remarkably well for most firms: pricing errors are within 15 percent of stock prices for about half of our sample. In terms of relative performance, the following general rankings are observed consistently each year: forward earnings measures are followed by historical earnings measures, cash flow measures and book value of equity are tied for third, and sales performs the worst. Contrary to the popular view that different industries have different "best" multiples, we find that these overall rankings are observed consistently for almost all industries examined. Adjusting the ratio formulation typically followed in practice to allow for an intercept offers some improvement, especially for multiples that perform poorly. No improvement is observed, however, when we consider more complex measures of intrinsic value based on short-cut residual income models (where forward earnings are combined with book values, estimated discount rates, and generic terminal value estimates). Since we require analysts' earnings and growth forecasts and positive values for all measures, our results may not be representative of the many firm-years excluded from our sample.

Equity premia as low as three percent? Evidence from analysts' earnings forecasts for domestic and international stocks
(Claus/Thomas forthcoming in Journal of Finance) updated 11/14/00.

NOTE
This paper is a combination of the following two papers. Download them if you want additional details of the analyses in the combined paper.

The equity risk premium is much lower than you think it is: empirical estimates from a new approach
(Claus/Thomas 1999 working paper) updated 5/18/99.

ABSTRACT
We offer ex ante estimates of the equity risk premium based on forecasted accounting numbers. Although our approach is isomorphic to dividend growth models, it generates various diagnostics that help to narrow the range of reasonable assumed growth rates. Our results, based on IBES consensus earnings forecasts over the 1985-1998 period, contrast sharply with those of prior research. Our estimates of risk premium are considerably lower than (about 3 percent) the estimates commonly cited (about 8 percent), and are also more stationary over time. This result has important implications both for academe (e.g., the equity premium puzzle) as well as practice (e.g., discount rates for valuation and over-valued stock markets).

Measuring risk premia using earnings forecasts: an international analysis
(Claus/Thomas 1999 working paper).updated 5/15/99.

ABSTRACT
The returns earned by US stocks since 1926 have generated an "equity premium puzzle", since they exceed estimates derived from theory, from other periods and markets, and from surveys of investors. To determine if this historic estimate is biased upward, we offer a new approach based on accounting data and analysts' earnings forecasts, which is used to examine six different equity markets: Canada, France, Germany, Japan, UK, and US. For each year between 1985 and 1998, our equity premium estimate is the difference between the implied discount rate (that equates current prices with the present value of future flows) and the prevailing 10-year risk-free rate. These ex ante estimates, which are around three percent or less in the six markets examined, are support the view that the historic estimate is too high. Although the accounting flows are isomorphic to dividends, our approach makes better use of information available currently and generates diagnostics that help to narrow the range of reasonable growth rate assumptions.

Stock returns and accounting earnings
(Liu/Thomas published in Journal of Accounting Research).updated 7/15/99.

ABSTRACT
Although most market-based accounting research is based on regressions of abnormal returns on contemporaneous unexpected earnings, many have despaired about the intrinsic ability of accounting earnings to explain stock returns. These regressions exhibit low R2, lower than expected coefficients on unexpected earnings (ERC's), and various unusual features including a) non-linearity, b) lower R2 and response coefficients for loss firms, and c) lower R2 and response coefficients for high-growth and high-tech firms. Some improvement in explanatory power has been achieved by including various proxies for information that is currently available about future period earnings. This paper contributes to that line of research by deriving a specification, from the abnormal earnings model, that extends the traditional ERC regression by including current period forecast revisions of future period earnings (up to year +5). Relative to the traditional regression, the full specification increases R2 substantially, reduces the bias in coefficient estimates (caused by omitted correlated variables), and mutes the three unusual features mentioned above. Fundamentally, we find that revisions in near term earnings forecasts and discount rate changes are the two most important drivers of returns. High R2 values can be achieved by simple specifications that combine these two items (e.g., capitalized earnings, or the ratio of near term forecasted earnings to the discount rate). However, the coefficient estimates are less stationary and deviate more from their predicted values, relative to those for the more complex specification we derive.

Potential errors in detection of earnings management: reexamining the studies of the AMT of 1986,
(Choi/Gramlich/Thomas, forthcoming in Contemporary Accounting Research).updated 8/22/01.

ABSTRACT
We seek to document errors that could affect studies of earnings management. The book income adjustment (BIA) of the alternative minimum tax (AMT) created apparently strong incentives to manage book income downward in 1987. Five earlier papers using different methodologies and samples all conclude that earnings were reduced in response to the BIA. This consensus of findings offers an opportunity to investigate our speculation that methodological biases are more likely when there appear to be clear incentives for earnings management. A reexamination of these studies uncovers potential biases related to a variety of factors, including choices of scaling variables, selection of affected and control samples, and measurement error in estimated discretionary accruals. And a reexamination of the argument underlying these studies suggests that the incentives to manage earnings are less powerful than initially predicted, and are partially mitigated by tax and non-tax factors. As a result, we believe that the extent of earnings management that occurred in 1987 in response to the BIA remains an unresolved issue.

Identifying unexpected accruals: a comparison of current approaches
(Thomas/Zhang forthcoming in Journal of Accounting & Public Policy).updated 7/25/00.

ABSTRACT
While prior research often uses various accrual prediction models to detect earnings management, not much is known about the accuracy, both relative and absolute, associated with these models. Our paper investigates the accuracy of six different accrual prediction models, and offers the following findings. Only the Kang-Sivaramakrishnan (1995) model performs moderately well. The remaining five models provide little ability to predict total accruals: they are less accurate than a naove model which predicts that total accruals equal ?5 percent of total assets for all firms and years. Conventional R2 values from a regression of actual accruals on predicted accruals are less than zero for a substantial majority of firms for these five models. These low R2 values in the prediction period contrast sharply with the much higher R2 values that are obtained within the estimation period. Similar performance is observed when predicting current accruals alone. However, the relative rankings of the different models are altered somewhat: the Jones (1991) model is then the only model that exhibits some predictive ability.


Positioning liabilities on the balance sheet: The case of short-term debt that is reclassified as long-term debt
(Gramllich/McAnally/Thomas forthcoming in Journal of Accounting Research). updated 11/17/98.

ABSTRACT
This is a preliminary investigation of the reasons for and the consequences of the movement of short-term debt (primarily commercial paper) between the current and long-term liability sections of the balance sheet. Under SFAS 6, firms can reclassify short-term debt as long-term debt if they a) intend to roll over such debt, and b) can show the ability to refinance that debt (through a loan commitment) if it is not rolled over. Relative to the management of income statements and other forms of balance sheet management (e.g. taking liabilities off the balance sheet), these reclassifications appear innocuous. And yet, there is considerable cross-sectional variation in the extent to which such reclassifications occur, and some firms with reclassified short-term debt subsequently "declassify" that debt by returning it to the current liability section. We find that the reclassification/declassification decision effectively smooths the balance sheet by returning working capital (liquidity) and long-term debt (leverage) ratios to their time-series and cross-sectional benchmarks. For example, firms reclassifying short-term debt to long-term debt exhibit contemporaneous decreases in current assets and/or increases in other current liabilities. We are also able to document that the amount of debt reclassified is related to a decline in debt and commercial paper ratings. We explore the potential implications of these findings.


Exchange rate exposure and firm valuation: new evidence for market efficiency
(Palia/Thomas 1997 working paper). updated 6/1/97.

ABSTRACT
Prior research on the sensitivity of firms to exchange rates has documented a puzzling result: while firm stock returns are only weakly related to contemporaneous changes in exchange rates, they are related to lagged exchange rate changes. This result is consistent with market inefficiency since the stock market appears to respond to exchange rate changes with a delay when the predictable effects of dollar movements are confirmed in financial statements (Bartov and Bodnar, 1995). We re-examine these results for samples of net exporters and net importers, where net importers (exporters) are firms with a strong positive (negative) correlation between abnormal returns and contemporaneous exchange rate changes over the previous 20 quarters. In contrast with prior results, we find a strong relation between abnormal returns and contemporaneous exchange rate changes. We show that our result is due primarily to subsets of firms and sample periods not examined earlier; specifically, the relation is strongest for net importers (the international firms examined by others are more likely to be net exporters) and more recent years. Although we confirm the lagged relation observed by others, we document many conflicting aspects of this relationship, and hence are reluctant to interpret it as market inefficiency.

Valuation of permanent, transitory, and price-irrelevant components of reported earnings
(Ramakrishnan/Thomas in JAAF 1998, vol 13, no. 3, summer, pp. 301-336).

ABSTRACT
Both the economic nature of events as well as extant accounting rules cause reported earnings to have different components, each with different valuation implications. The price-earnings link is described better by separating components of unexpected earnings and multiplying each by a different response coefficient, rather than applying a single earnings response coefficient (ERC) to aggregate unexpected earnings. Using a simple model that assumes three types of innovations to reported earnings (permanent, transitory and price-irrelevant), we develop systematic links among current earnings components, future earnings, and stock prices. Empirical tests of the model's predictions confirm the validity of our characterization of the price-earnings link. Attempts to understand better the effects of growth and (beta) risk result in little improvement.

Accounting-based stock price anomalies: separating market inefficiencies from risk
(Bernard/Thomas/Whalen in CAR 1997).

ABSTRACT
We examine six accounting-based stock price anomalies using two sets of tests to determine the extent to which the anomalies (a) represent market mispricing, or (b) reflect premia for unidentified risks. Market mispricing is indicated if the anomalous returns are concentrated around subsequent earnings announcements, in patterns suggesting that the earnings information causes traders to reexamine their prior (incorrect) beliefs. Mispricing is also indicated if anomalous returns on zero investment portfolios are positive, period after period. Our results indicate that an anomaly based on earnings momentum probably reflects market mispricing, but that two value/glamour anomalies (based on the book/market ratio and the earnings/price ratio), and two anomalies based on computerized fundamental analyses (from Ou and Penman 1989 and Holthausen and Larcker 1992) are more likely to reflect risk premia than indicated by prior research. Evidence on a sixth anomaly, based on price momentum, is mixed.




some stuff from way back

Post-earnings-announcement drift: Market inefficiency or CAPM misspecification?
(Bernard/Thomas in JAR 1989).

Evidence that stock prices do not fully reflect the implications of current earnings for future earnings
(Bernard/Thomas in JAE 1990).

Incentives under cost-reimbursement: pension costs for defense contractors
(Thomas/Tung in AR 1992).

Corporate taxes and defined benefit pension plans
(Thomas in JAE 1988).

Economic consequences of accounting standards: The lease disclosure rule change
(Imhoff/Thomas in JAE 1988).

Unusual patterns in reported earnings
(Thomas in AR 1989).