4. Data, Sample and Variable Definitions
4.4 Empirical specifications
4.4.1Conservatism and uncertainty in the bond market
To test my first hypothesis that conservatism increases uncertainty among bond investors especially when reports reflect low performance, I regress firmsβ quarterly bond return volatility, as a proxy for bond investorsβ uncertainty, on the lagged measure of conservatism as well as its interaction with an indicator variable that takes a value of one for accounting loss-quarters. I control for several firm-level variables that could affect the volatility of bond returns as well as quarter and firm fixed effects. To test H1a, I use the following specification and expect π½1 to be significantly positive:
π ππ‘ππππππ‘ = π½0+ π½1 πΆπππ πππ£ππ‘β1+ π½2π ππ΄ππ‘β1+ π½3πΏππ£ππ‘β1+ π½4πππ§πππ‘β1+ π½5π΅πππ‘β1+
π½6πΆπΉππππππ‘β1+ π½7ππ‘ππππ ππ‘ππ‘+ π½8π ππ‘πππππ‘+ π’π+ π£π‘+ ππππ‘ (1) where π, π, and π‘ are bond, firm, and quarter indices, respectively. To test H1b, I augment equation (1) with its interaction with a loss variable (as defined below) and expect π½2 to be significantly positive:
π ππ‘ππππππ‘ = π½0+ π½1πΆπππ πππ£ππ‘β1+ π½2πΆπππ πππ£ππ‘β1β πΏππ π ππ‘β1+ π½3πΏππ π ππ‘β1+ πΆπππ‘ππππ +
π’π+ π£π‘+ ππππ‘ (2) where πΆπππ‘ππππ is the same set of control variables included in equation (1). π ππ‘πππ equals the
quarterly measure of bond return volatility defined as the standard deviation of daily bond returns during a quarter. I define πΏππ π as the fraction of the past 20 quarters with negative earnings before extraordinary items.
I control for several known determinants of return volatility following Bao and Pan (2013) and Rajgopal and Venkatachalam (2011). Vuolteenaho (2002) has shown that returns can be decomposed into news about expected return and expected cash flows. Therefore, I control for the volatility of firmsβ prior cash flows (ππΆπΉπ) because variation in cash flows is likely to be mirrored in variation in returns. I also, control for leverage (πΏππ£) and bond ratings (π ππ‘πππ) because both
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capture firmsβ financial distress risk which can affect the volatility of bond returns. I expect firmsβ volatility to increase with leverage and decrease with ratings. I also expect returns of smaller firms to be more sensitive to corporate news as they have less ability to absorb negative corporate shocks and fewer assets to compensate lenders during the bankruptcy process. I predict the volatility of bond returns to be negatively associated with firm size (πππ§π). I control for firmsβ growth opportunities by including the book-to-market ratio (Bπ) because growth firms are more likely to have volatile performance and returns. Since bondholders have fixed claims against borrowersβ value, they are likely to be more sensitive to corporate news when borrowers are less profitable. Thus, I expect, firmsβ profitability (π ππ΄) to reduce the volatility of bond returns. Additionally, I control for corporate news that is known to the stock market which could have an impact on the bond market by including the compounded stock returns of the given quarter (ππ‘ππππ ππ‘).
4.4.2Informational cost of conservatism
My second hypothesis (H2) predicts that the uncertainty induced by accounting conservatism increases bond yield spreads. I test this prediction using the following empirical specification:
πππππππππ‘= π½0+ π½1πΌππππΆππ π‘ππ‘β1+ π½2π ππ΄ππ‘β1+ π½3πΏππ£ππ‘β1+ π½4πππ§πππ‘β1+ π½5π΅πππ‘β1+
π½6ππππππ΄ππ‘πππ‘+ π½7π ππ‘ππππππ‘+ π½8πππ‘π’πππ‘π¦πππ‘+ π½9ππππππππ‘π¦πππ‘+ π½10ππΆππ£πππ‘+
π½11π΄π π ππ‘_π΅ππππππππ‘+ π½12π ππππππππππππ‘+ πππππ_πππ‘βππ+ πΌπππ’π π‘ππ¦π+ ππππ‘ (3)
where i and t represent bonds and offering periods, respectively. The dependent variable, Spread,
is the yield spread of new bonds defined as the offering yield minus the yield of treasury securities issued during the same month with the closest maturity date to that of the corresponding bond.
πΌππππΆππ π‘ equals the volatility of bond returns induced by conservatism and the interaction of conservatism (πΆπππ πππ£) and Loss variables from the firm-specific regression (2). The parameters of equation (1) are estimated separately for each new bond issuance over the same 5 to
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20 prior quarters that are used to calculate the conservatism measure. Then, InfoCost is defined as the predicted volatility of returns explained by the most recent values of πΆπππ πππ£ and its interaction with πΏππ π , i.e., InfoCostjt = πΌΜπ1 πΆπππ πππ£ππ‘+ πΌΜπ2πΆπππ πππ£ππ‘β πΏππ π ππ‘+ πΌΜπ3πΏππ π ππ‘. I predict the coefficient on πΌππππΆππ π‘ (π½1) to be significantly positive, confirming that uncertainty induced by conservatism increases the yield spread of new bonds.
In equation (3), I also include several firm and bond specific control variables that are expected to impact bond interest rates. I expect larger and more profitable firms to issue bonds at lower interest rates as the extent of bondholder-shareholder conflict is potentially less severe. Similarly, higher leverage is associated with higher expected default and bankruptcy risk which should increase bond interest rates. I include ROA, Lev, BM, and Size as defined in the previous section to control for firm-level determinants of the cost of borrowing (Fama and French 1993, Gebhardt et al. 2005, Zhang 2008, Ahmed et al. 2002). Another subtle reason for including firm profitability (ROA) is to control for the mechanical association between earnings skewness and the mean earnings. As earnings become more negatively skewed, its mean also shifts to the left which could cause an increase in bond spreads. However, my main conjecture is that conservatism increases yield spreads by increasing uncertainty rather than by simply lowering operating performance measures. Controlling for earnings profitability ensures that any association between conservatism and yields is not due to a decline in operating performance. I also control for other terms of bond contracts as they are simultaneously determined with interest rates. I expect higher bond ratings (π ππ‘πππ), higher bond seniority (ππππππππ‘π¦), and asset-backed bonds (π΄π π ππ‘_π΅πππππ) to have lower interest rates as they reflect lower risk of default and lower agency conflict between borrowers and lenders (Blume et al. 1991, Gebhardt et al. 2005, Bessembinder et al. 2008, Zhang 2008, Ahmed et al. 2002). I also, include bond issue size (πππππ_π΄ππ‘), time to maturity (πππ‘π’πππ‘π¦), and total number of included covenants (ππΆππ£), and an indicator for redeemable (π πππππππππ) bonds (Blume et al. 1991, Gebhardt et al. 2005, Zhang 2008). I do not
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have any prior expectations about their effect on interest rates, because prior literature finds that, beyond contractual values, these bond agreement terms could indicate other offsetting factors. For instance, while intensity of covenants could reduce the flexibility of borrowers to expropriate wealth from lenders (Beatty et al. 2002), it could also signal the severity of agency conflict between the two parties (Li et al. 2016). Similarly, while longer duration and larger size of bonds could increase lender exposure to borrowersβ risk, it could signal the credibility of the borrower as well.
4.4.3Contractual benefits of conservatism
My third set of hypotheses predicts that earnings covenants reduce bond yield spreads and that this effect gets reinforced with level of accounting conservatism. To test H3a and H3b, I use the following two empirical specifications:
πππππππππ‘ = π½0+ π½1ππΈπππ_πΆππ£πππ‘+ πΆπππ‘ππππ + πππππ_πππ‘βππ+ πΌπππ’π π‘ππ¦π+ ππππ‘ (4) and,
πππππππππ‘ = π½0+ π½1ππΈπππ_πΆππ£πππ‘+ π½2 πΆπππ πππ£ππ‘β1+ π½3πΆπππ πππ£ππ‘β1β ππΈπππ_πΆππ£πππ‘+
πΆπππ‘ππππ + πππππ_πππ‘βππ+ πΌπππ’π π‘ππ¦π+ ππππ‘ (5) where πΆπππ‘ππππ are same control variables used in equation (3). ππΈπππ_πΆππ£ equals the intensity of operating performance covenants defined as the number of earnings-based covenants included in new bond contracts. H3a predicts that the coefficient on ππΈπππ_πΆππ£, π½1, in equation (4) is significantly negative.
To capture the reinforcing effect of accounting conservatism and intensity of earnings covenants, I interact πΆπππ πππ£ and ππΈπππ_πΆππ£ in equation (5). A significantly negative coefficient on the interaction term, π½3, will confirm the prediction in H3b. Thus, I refer to the combined effect of conservatism and earnings covenants (πΆπππ πππ£ β ππΈπππ_πΆππ£) as the βcontractual benefitβ of conservatism.
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4.4.4Overall effect of conservatism on bond yield spreads
Lastly, I test the overall effect of conservatism on bond yield spreads (H4) by regressing yield spreads (ππππππ) on conservatism (πΆπππ πππ£) and other control variables, where indices and control variables are identical to those in equation (3).
πππππππππ‘ = π½0+ π½1πΆπππ πππ£ππ‘β1+ πΆπππ‘ππππ + πππππ_πππ‘βππ+ πΌπππ’π π‘ππ¦π+ ππππ‘ (6) and,
πππππππππ‘ = π½0+ π½1πΆπππ πππ£ππ‘β1+ π½2πΆπππ πππ£ππ‘β1β πΏππ π ππ‘β1 + π½3πΏππ π ππ‘β1+ πΆπππ‘ππππ +
πππππ_πππ‘βππ+ πΌπππ’π π‘ππ¦π+ ππππ‘ (7) H4a predicts that the coefficient on πΆπππ πππ£, π½1, in equation (6) is significantly positive. To test H4b that the effect of conservatism on bond yield spreads is stronger when accounting reports convey bad news, I interact πΆπππ πππ£ and πππ π in equation (7). A significantly positive coefficient on the interaction term, π½2, will confirm the prediction in H4b.