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Published in: Review of Quantitative Finance and Accounting 3/2018

23-06-2017 | Original Research

Analyst recommendations and the implied cost of equity

Authors: Raj Aggarwal, Dev Mishra, Craig Wilson

Published in: Review of Quantitative Finance and Accounting | Issue 3/2018

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Abstract

We investigate the relation between analyst recommendations and the cost of equity implied by current stock price and earnings forecasts. Contrary to expectations, previous-year recommendation upgrades are associated with increases in the current cost of equity; and past increases in the cost of equity are associated with current recommendation downgrades. Furthermore, changes in the implied cost of equity and changes in analyst recommendations jointly explain as much as 31% of the variation in 1-year holding period returns, where most of the variation (28%) is explained by the implied cost of equity alone. We document that when forming recommendations, analysts underestimate the role of the cost of equity.

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Appendix
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Footnotes
1
Sell-side financial analysts make public recommendations about the prospects of publicly traded companies. In particular, they make recommendations to buy, hold, or sell the equity stock of specific companies, and they change their recommendations from time to time. Anecdotally, the market price effect of recommendations could largely depend on the number of investors adopting such recommendations and the quality and completeness of information contained in the recommendations.
 
2
Consistent with this idea, Zhou (2013) finds a positive association between recommendations and target prices levels.
 
3
Kecskes et al. (2017) document that 46.5% of their sample of recommendation changes is associated with concurrent earnings forecast changes announced sometime during the same week.
 
4
Asquith et al. (2005) report that only 12.8% of analyst reports include some variant of discounted cash flow used for firm valuation, which would necessitate the use a discount rate.
 
5
Price targets are included in 72.6% of analyst reports according to Asquith et al. (2005).
 
6
For example, Aggarwal et al. (1995) show that analysts do not use all available information to improve their forecasts when forecasting announced values of macroeconomic variables. Elgers et al. (2016) conclude that predictive ability of analyst forecasts is time specific, such that forecasts are less accurate after Regulation DF.
 
7
We exclude years during and following the subprime mortgage crisis to avoid biasing our results. Research on analyst recommendations suggests that recommendations are less informative during periods of financial turmoil (Barber et al. 2003; Woolridge 2004).
 
8
For robustness, we also repeat our analysis using ICOE estimates of the individual models. The results are qualitatively consistent with what we report based on the average, with some variation in the strength of this association across models.
 
9
The possibility of measurement error in ICOE could lead to spurious results relating ICOE and analyst recommendations. By using the average of the four models, we reduce errors that may occur with any one of the models. We also repeat our analysis using each individual model and the results are consistent. Apart from this, we use the changes in the cost of equity, which helps mitigate measurement errors in ICOE that persist through time.
 
10
These models and their description, to a large extent, resemble those in other papers such as Attig et al. (2008) and Dhaliwal et al. (2006).
 
11
We also use K to represent the cost of equity risk premium for the final variable construction by subtracting the 10-year Treasury bond yield. For convenience, we continue to call this “cost of equity.”
 
12
Dividend payout used with the Claus and Thomas (2001) model is fixed at 50% for all firms, consistent with Claus and Thomas (2001).
 
13
For robustness, we repeat the analysis using changes in mean recommendations. The results are qualitatively unchanged.
 
14
Analyst recommendations and earnings forecasts are made public by analysts (more or less uniformly) over each month between two IBES summary statistic release dates. IBES summarizes them and releases summary forecasts of earnings as well as price recommendations on Thursday before the third Friday of every month. Our proxy of the cost of equity is estimated using these consensus earnings, and the stock price recorded as of the IBES stats release date. Therefore the price used in estimating the cost of equity occurs after the market has had time to evaluate all analyst recommendations individually made public and subsequently included in the summary stats. Because the cost of equity reflects the effect of a change in recommendations, intuitively in an efficient market there should not be any association between (correctly made) recommendation changes in this period with the cost of equity changes in the next period. Yet analytically, little can be said about this relation, so we treat it purely as an empirical question.
 
15
If recommendations were informative, then we would expect a negative relation between past recommendation changes and the current cost of equity changes (ICOE should decrease following an upgrade and increase following a downgrade), or no relation if the market had sufficient time to incorporate the information before the current period started. On the other hand, an appropriate analyst response predicts a positive relation between past cost of equity changes and current recommendations (analysts should upgrade following an increase in ICOE and downgrade following a decrease), or no relation if the analysts had sufficient time to respond before the current period started.
 
16
Brown et al. (2014) find that abnormal returns have a strong reversal especially when mutual fund managers herd following analyst changes. They interpret this as an overreaction to analyst recommendation revisions and subsequent reversion. However, much of the abnormal return occurs several quarters prior to the recommendation revision event, so their results are also consistent with analysts belatedly changing their recommendations after the fact. We investigate this issue in Models 3, 5, and 7. Cremers et al. (2017) show that positive analyst recommendations correspond to short-term market overreactions and subsequent reversals for stocks frequently traded by short-term institutional investors that are difficult to arbitrage.
 
17
For most of the firms (over 88% of sample firms) mean or median target price estimate is higher than the market price on the statistics release date for our cost of equity estimation month. On average analyst recommended target prices are about 25% higher than the actual closing market price on that day. This finding is not new, as the literature overwhelmingly shows that analysts are overly optimistic (Asquith et al. 2005; Brav and Lehavy 2003).
 
18
Jegadeesh et al. (2004) primarily investigate how various factors and firm characteristics (called Quantitative Score factors) affect how recommendations and recommendation changes predict future returns. They also look into how Q-Score factors affect recommendations and recommendation changes. While we also investigate how various factors affect recommendation changes, our primary concern is how ICOE affects recommendation changes, which is not considered by Jegadeesh et al., while controlling for other factors that affect recommendation changes.
 
19
Brav and Lehavy (2003) also find that the ICOE provides significant information beyond that provided by recommendation changes: They find a positive association with the abnormal return around the revision event.
 
20
Ho (2000) finds that downgrades are more informative than upgrades.
 
21
Our proxy for earnings quality is estimated following the method applied in Francis et al. (2005) using the model of Dechow and Dichev (2002). The regression model that explains the total current accruals for firm j in year t (TCA j,t ) is given by
$$ TCA_{j,t} = \phi_{0,j} + \phi_{1,j} CFO_{j,t - 1} + \phi_{2,j} CFO_{j,t} + \phi_{3,j} CFO_{j,t + 1} + \phi_{4,j} REV_{j,t} + \phi_{5,j} PPE_{j,t} + \nu_{j,t} , $$
where TCA j,t  = ΔCA j,t  − ΔCL j,t  − ΔCASH j,t  + ΔSTDEBT j,t , CFO j,t  = NIBEj,t − TA j,t is firm j’s cash flow from operations in year t, NIBE j,t is firm j’s net income before extraordinary items in year t (Compustat Data #18), TA j,t  = ΔCA j,t  − ΔCL j,t  − ΔCASH j,t  + ΔSTDEBT j,t  − DEPN j,t is firm j’s total accruals in year t, ΔCA j,t is firm j’s change in current assets (Compustat Data #4) between year t − 1 and year t, ΔCL j,t is firm j’s change in current liabilities (Compustat Data #5) between year t − 1 and year t, ΔCASH j,t is firm j’s change in cash (Compustat Data#1) between year t − 1 and year t, ΔSTDEBT j,t is firm j’s change in short-term debt (Compustat Data #34) between year t − 1 and year t, DEPN j,t is firm j’s depreciation and amortization expense (Compustat Data #14) in year t, ΔREV j,t is firm j’s change in revenue (Compustat Data #12) between year t − 1 and year t, PPE j,t is firm j’s gross value of property, plant and equipment (Compustat Data #7) in year t. We estimate the above equation for the firms in each Fama and French (1997) 48 industry group that has a minimum of 20 firms in the sample. (We also winsorize the data at the 1 and 99 percentiles.) For each firm, the earnings quality metric is the standard deviation of the residuals for 5 years before and including the estimation year.
 
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Metadata
Title
Analyst recommendations and the implied cost of equity
Authors
Raj Aggarwal
Dev Mishra
Craig Wilson
Publication date
23-06-2017
Publisher
Springer US
Published in
Review of Quantitative Finance and Accounting / Issue 3/2018
Print ISSN: 0924-865X
Electronic ISSN: 1573-7179
DOI
https://doi.org/10.1007/s11156-017-0644-y

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