Book–Tax Differences and Earnings Persistence: The Moderating Role of Sales Decline
Abstract
1. Introduction
2. Previous Literature
2.1. Book–Tax Differences
2.2. Direction of Sales Change
2.3. Earnings Management
2.4. Operations Theory
3. Materials and Methods
3.1. Hypothesis: Operations Theory
3.1.1. First Hypothesis: The Impact of Sales Decline on Earnings Persistence
3.1.2. Second Hypothesis: Sales Decline and Earnings Persistence for LPBTD Firms
3.1.3. Third Hypothesis: Sales Decline and Earnings Persistence for LNBTD Firms
3.2. Methods
3.3. Sample Selection
4. Results
4.1. Correlations
4.2. Main Results
5. Discussion
Findings, Implications, and Limitations
6. Conclusions and Contributions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
Variable Name | Definition | |
---|---|---|
AT | Average assetsi,t | The average total assets (Compustat AT) from year t − 1 to year t. |
TA | Total assetsi,t | The total assets (Compustat AT) from year t. |
BTD | Book–tax differences | The sum of federal and foreign deferred taxes (Compustat TXDFED and TXDFO), grossed up by the statutory tax rate (35% in our sample period prior to the TCJA 2018 Act), and scaled by average assets. If either federal or foreign deferred taxes are missing, total deferred taxes (Compustat TXDI) are used instead. |
ETRi,t | Effective tax rate | Total income taxes (Compustat TXT or TXTQ) divided by pre-tax book income (Compustat PI or PIQ). ETRt is limited to between 0 and 1. |
LNBTD | Large negative book–tax difference | A dummy variable, which is equal to one for firm-years with BTDt in the lowest quintile of firms in each year, and zero otherwise. |
LPBTD | Large positive book–tax difference | A dummy variable, which is equal to one for firm-years with BTDt in the highest quintile of firms in each year, and zero otherwise. |
OP | Operating profit margin | Sales revenue (Compustat variable SALE), less operating expenses (the sum of Compustat variables COGS, XSGA, and XRD), divided by sales revenue. |
PTBIi,t+1 | Next year pre-tax book income | Pre-tax book income (Compustat PI or IBQ) for year t + 1, scaled by average assets from year t to t + 1. |
PTBIi,t | pre-tax book income | Pre-tax book income (Compustat PI or IBQ) for year t, scaled by average assets from year t − 1 to t. |
PTACCi,t | Pre-tax accruals | The difference between PTBIt and PTCFt, scaled by average assets. |
PTCFi,t | Pre-tax cash flows | The sum of total operating cash flows (Compustat OANCF) and cash taxes paid (Compustat TXPD), less cash flow due to extraordinary items (Compustat XIDOC), scaled by average assets. |
DTE | Deferred tax expense | Represents the accumulated tax deferrals due to timing differences between the reporting of revenues and expenses for financial reporting and tax purposes (Compustat item TXDB). |
REVENUEi,t | Total revenue | This item represents net sales/turnover plus operating revenues (Compustat variable REVT). |
SD | Sales-down | A dummy variable equal to one if a firm’s change in sales (Compustat SALE) from time t − 1 to t is negative, and zero otherwise. |
SU | Sales-up | A dummy variable equal to one if a firm’s change in sales (Compustat SALE) from time t − 1 to t is positive, and zero otherwise. |
EM | Earnings management | A dummy variable equal to one if a firm is in the highest quintile based on discretionary accruals (DA) and zero otherwise. Discretionary accruals calculated using the modified Jones model. |
DA | Discretionary accruals | A continuous variable, the residual value from the Jones (1991) model and the modified Jones model (Dechow et al., 1995). Discretionary accruals regression scaled by average assets (Compustat AT). |
_ | Asset impairments | Asset impairments (Compustat WDP), scaled by market value (MKVALT). |
_ | Goodwill impairment | Goodwill impairment (Compustat GDWLIP), scaled by market value (MKVALT). |
_ | Special items | Special items (Compustat SPI), scaled by market value (MKVALT). |
Aspect | EM Theory | Operations Theory |
---|---|---|
Argument | BTDs result from opportunistic reporting, where managers manipulate earnings for their objectives. | BTDs arise due to operational decisions, such as changes in business activities, strategies, or market conditions. |
Positive BTDs? | YES | YES |
Negative BTDs? | NO | YES |
Cause of BTDs | Intentional manipulation of accounting or tax items. | Natural variation due to operational decisions. |
Objective | Meet earnings targets or reduce tax liability. | Respond to market conditions, strategy shifts. |
Implications | Signals opportunism or risk of future restatements. | Reflects legitimate business decisions. |
Examples | Use of accruals, income smoothing. | Sales declines, inventory buildup. |
Special Item | BTD Type | Reason | Examples |
---|---|---|---|
Write-downs | Negative BTDs | Expensed for book purposes but deferred for tax purposes. | Inventory write-downs, goodwill impairments, and intangible asset write-offs. |
Restructuring Costs | Negative/Positive | Timing differences between book and tax recognition. | Severance payments (negative) and prepayments for future expenses (positive). |
Asset Disposals | Positive/Negative | Gains/losses are recognized differently under tax and book rules. | Gains on machinery sales (positive) and losses disallowed for tax purposes (negative). |
Legal Settlements, Fines and penalties | Negative BTDs | Non-deductible for tax purposes but expensed for book purposes. | Penalties for regulatory violations and litigation settlements. |
Non-Recurring Items | Variable | It depends on the nature of the item and tax vs. book treatment. | One-time insurance pay (positive) and non-deductible sponsorship expenses (negative). |
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Panel A: Full Sample | ||||||
---|---|---|---|---|---|---|
Variable | N | Mean | StD | 25% | Median | 75% |
PTBIi,t+1 | 21,981 | 0.128 | 0.099 | 0.062 | 0.107 | 0.17 |
PTBIi,t | 21,981 | 0.137 | 0.105 | 0.067 | 0.114 | 0.178 |
PTCFi,t | 21,981 | 0.163 | 0.121 | 0.092 | 0.148 | 0.218 |
PTACCi,t | 21,981 | −0.026 | 0.088 | −0.070 | −0.033 | 0.005 |
BTDi,t | 21,981 | 0.006 | 0.043 | −0.011 | 0.003 | 0.02 |
Total Assetsi,t | 21,981 | 3379 | 18,146 | 29 | 210 | 970 |
ETRi,t | 21,981 | 0.343 | 0.106 | 0.308 | 0.362 | 0.390 |
DTEi,t | 21,981 | 5.735 | 152 | −0.956 | 0.12 | 3.138 |
REVENUEi,t | 21,981 | 3906 | 17,511 | 120.6 | 440 | 1670 |
Pre-Tax Income | 21,981 | 447 | 2321 | 9.76 | 37 | 152 |
Panel B: Sales-Up Sample | ||||||
Variable | N | Mean | StD | 25% | Median | 75% |
PTBIi,t+1 | 17,911 | 0.135 | 0.099 | 0.067 | 0.114 | 0.178 |
PTBIi,t | 17,911 | 0.146 | 0.107 | 0.076 | 0.123 | 0.188 |
PTCFi,t | 17,911 | 0.167 | 0.125 | 0.093 | 0.153 | 0.225 |
PTACCi,t | 17,911 | −0.021 | 0.09 | −0.066 | −0.030 | 0.011 |
BTDi,t | 17,911 | 0.006 | 0.043 | −0.011 | 0.0028 | 0.02 |
Total Assets | 17,911 | 2916 | 15,656 | 33 | 215 | 917 |
ETRi,t | 17,911 | 0.343 | 0.103 | 0.311 | 0.363 | 0.390 |
DTEi,t | 17,911 | 6.28 | 141 | −0.963 | 0.117 | 2.99 |
REVENUE | 17,911 | 3641 | 16,571 | 123 | 435 | 1592 |
Pre-Tax Income | 17,911 | 425 | 2211 | 10.6 | 38.5 | 149 |
Panel C: Sales-Down Sample | ||||||
Variable | N | Mean | StD | 25% | Median | 75% |
PTBIi,t+1 | 4070 | 0.0.98 | 0.089 | 0.045 | 0.08 | 0.129 |
PTBIi,t | 4070 | 0.096 | 0.082 | 0.042 | 0.077 | 0.127 |
PTCFi,t | 4070 | 0.143 | 0.097 | 0.085 | 0.131 | 0.188 |
PTACCi,t | 4070 | −0.046 | 0.078 | −0.081 | −0.047 | −0.015 |
BTDi,t | 4070 | 0.0077 | 0.039 | −0.008 | 0.0035 | 0.02 |
ATi,t | 4070 | 5416 | 26,360 | 15 | 185 | 1312 |
ETRi,t | 4070 | 0.340 | 0.122 | 0.291 | 0.355 | 0.390 |
DTEi,t | 4070 | 3.33 | 191 | −0.9 | 0.133 | 3.99 |
REVENUEi,t | 4070 | 5070 | 21,120 | 109 | 468 | 2007 |
Pre-Tax Income | 4070 | 544 | 2754 | 6.45 | 30.5 | 164 |
Panel A—Pearson Correlations | |||||||
---|---|---|---|---|---|---|---|
PTBIi,t+1 | PTBIi,t | PTCFi,t | PTACCi,t | BTDi,t | ATi,t | ETRi,t | |
PTBIi,t+1 | _ | ||||||
PTBIi,t | 0.719 * | _ | |||||
<0.0001 | |||||||
PTCFi,t | 0.60 * | 0.701 * | _ | ||||
<0.0001 | <0.0001 | ||||||
PTACCi,t | 0.035 * | 0.231 * | −0.532 * | _ | |||
<0.0001 | <0.0001 | <0.0001 | |||||
BTDi,t | −0.040 * | 0.021 * | −0.039 * | 0.078 * | _ | ||
<0.0001 | 0.002 | <0.0001 | <0.0001 | ||||
ATi,t | −0.048 * | −0.05 * | −0.022 * | −0.030 * | −0.011 | _ | |
<0.0001 | <0.0001 | 0.001 | <0.0001 | 0.103 | |||
ETRi,t | 0.014 * | −0.026 | 0.020 * | −0.058 * | 0.081 * | −0.061 * | _ |
0.0423 | 0.0001 | 0.003 | <0.0001 | <0.0001 | <0.0001 | ||
Panel B—Spearman Correlations | |||||||
PTBIi,t+1 | PTBIi,t | PTCFi,t | PTACCi,t | BTDi,t | ATi,t | ETRi,t | |
PTBIi,t+1 | _ | ||||||
PTBIi,t | 0.719 * | _ | |||||
<0.0001 | |||||||
PTCFi,t | 0.575 * | 0.674 * | _ | ||||
<0.0001 | <0.0001 | ||||||
PTACCi,t | 0.026 * | 0.167 * | −0.53 * | _ | |||
<0.0001 | <0.0001 | <0.0001 | |||||
BTDi,t | −0.075 * | −0.028 * | −0.057 * | 0.039 * | _ | ||
<0.0001 | <0.0001 | <0.0001 | <0.0001 | ||||
ATi,t | −0.116 * | −0.147 * | −0.02 * | −0.138 * | 0.042 * | _ | |
<0.0001 | <0.0001 | 0.003 | <0.0001 | <0.0001 | |||
ETRi,t | 0.016 * | −0.012 | 0.011 | −0.024 * | 0.071 * | −0.146 * | _ |
<0.05 | <0.1 | 0.084 | 0.0004 | <0.0001 | <0.0001 |
Panel A: Pre-Tax Book Income | ||||||
---|---|---|---|---|---|---|
PTBIi,t+1 = β0 + β1 × PTBIi,t + εi,t | ||||||
Variable | Full Sample (1) | Sales-Up Firms (2) | Sales-Down Firms (3) | |||
PTBIi,t | 0.676 | *** | 0.686 | *** | 0.578 | *** |
(0.000) | (0.000) | (0.000) | ||||
Intercept | 0.035 | *** | 0.034 | *** | 0.042 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 21,981 | 17,911 | 4070 | |||
R-squared | 0.52 | 0.55 | 0.28 | |||
Panel B: Pre-Tax Book Income with Cash Flows and Accruals | ||||||
PTBIi,t+1 = β0 + β1 × PTCFi,t + β2 × PTACCi,t + εi,t | ||||||
Variable | Full Sample (1) | Sales-Up Firms (2) | Sales-Down Firms (3) | |||
PTCFi,t | 0.707 | *** | 0.713 | *** | 0.627 | *** |
(0.000) | (0.000) | (0.000) | ||||
PTACCi,t | 0.551 | *** | 0.563 | *** | 0.436 | *** |
(0.000) | (0.000) | (0.000) | ||||
Intercept | 0.027 | *** | 0.028 | *** | 0.028 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 21,981 | 17,911 | 4070 | |||
R-squared | 0.53 | 0.57 | 0.31 |
Variable | SD Only Model (1) | No SD Model (2) | Integrated Model (3) | |||
---|---|---|---|---|---|---|
PTBIi,t | 0.686 | *** | 0.697 | *** | 0.694 | *** |
(0.000) | (0.000) | (0.000) | ||||
LNBTD | 0.017 | *** | 0.014 | *** | ||
(0.000) | (0.000) | |||||
LPBTD | 0.007 | 0.004 | * | |||
(0.000) | (0.059) | |||||
LNBTD × PTBIi,t | −0.039 | *** | −0.018 | * | ||
(0.000) | (0.085) | |||||
LPBTD × PTBIi,t | −0.075 | *** | −0.044 | *** | ||
0.000 | (0.001) | |||||
SD | 0.007 | *** | −0.002 | |||
(0.000) | (0.323) | |||||
SD × PTBIi,t | −0.108 | *** | 0.016 | |||
0.000 | (0.399) | |||||
LNBTD × SD | 0.022 | *** | ||||
(0.000) | ||||||
LPBTD × SD | 0.017 | *** | ||||
(0.001) | ||||||
LNBTD × SD × PTBIi,t | −0.231 | *** | ||||
(0.000) | ||||||
LPBTD × SD × PTBIi,t | −0.237 | *** | ||||
(0.000) | ||||||
Intercept | 0.034 | *** | 0.031 | *** | 0.032 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 21,981 | 21,981 | 21,981 | |||
R-squared | 0.519 | 0.5216 | 0.5246 |
Variable | SD Only Model (1) | No SD Model (2) | Integrated Model (3) | |||
---|---|---|---|---|---|---|
PTCFi,t | 0.713 | *** | 0.726 | *** | 0.726 | *** |
(0.000) | (0.000) | (0.000) | ||||
PTACCi,t | 0.563 | *** | 0.572 | *** | 0.557 | *** |
(0.000) | (0.000) | (0.000) | ||||
LNBTD | 0.014 | *** | 0.014 | *** | ||
(0.000) | (0.000) | |||||
LPBTD | 0.006 | *** | 0.006 | *** | ||
(0.002) | (0.009) | |||||
LNBTD × PTCFi,t | −0.036 | *** | −0.026 | *** | ||
(0.000) | (0.017) | |||||
LPBTD × PTCFi,t | −0.073 | *** | −0.056 | *** | ||
(0.000) | (0.000) | |||||
LNBTD × PTACCi,t | −0.037 | *** | 0.006 | |||
(0.007) | (0.69) | |||||
LPBTD × PTACCi,t | −0.057 | *** | 0.003 | |||
(0.000) | (0.82) | |||||
SD | 0.007 | 0.0008 | ||||
(0.74) | (0.738) | |||||
SD × PTCFi,t | −0.085 | *** | −0.009 | |||
(0.000) | (0.63) | |||||
SD × PTACCi,t | −0.126 | *** | 0.081 | *** | ||
(0.000) | (0.003) | |||||
LNBTD × SD | −0.003 | |||||
(0.558) | ||||||
LPBTD × SD | 0.001 | |||||
(0.931) | ||||||
LNBTD × SD × PTCFi,t | −0.119 | *** | ||||
(0.001) | ||||||
LPBTD × SD × PTCFi,t | −0.126 | *** | ||||
(0.001) | ||||||
LNBTD × SD × PTACCi,t | −0.363 | *** | ||||
(0.000) | ||||||
LPBTD × SD × PTACCi,t | −0.322 | *** | ||||
(0.000) | ||||||
Intercept | 0.027 | *** | 0.024 | *** | 0.024 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 21,981 | 21,981 | 21,981 | |||
R-squared | 0.5378 | 0.539 | 0.5425 |
Variable | Earnings Model (1) | EM-BTD Model (2) | EM-BTD-SD Model (3) | |||
---|---|---|---|---|---|---|
PTBIi,t | 0.764 | *** | 0.791 | *** | 0.798 | *** |
(0.000) | (0.000) | (0.000) | ||||
EM | 0.019 | *** | 0.019 | *** | 0.020 | *** |
(0.000) | (0.000) | (0.000) | ||||
EM × PTBIi,t | −0.169 | *** | −0.179 | *** | −0.182 | *** |
(0.000) | (0.000) | (0.000) | ||||
LNBTD | 0.022 | *** | 0.0197 | *** | ||
(0.000) | (0.000) | |||||
LPBTD | 0.007 | *** | 0.009 | *** | ||
(0.002) | (0.000) | |||||
LNBTD × PTBIi,t | −0.066 | *** | −0.051 | *** | ||
(0.000) | (0.000) | |||||
LPBTD × PTBIi,t | −0.075 | *** | −0.079 | *** | ||
(0.000) | (0.000) | |||||
LNBTD × EM | −0.002 | −0.002 | ||||
LPBTD × EM | −0.011 | * | −0.013 | ** | ||
(0.030) | ||||||
LNBTD × EM × PTBIi,t | 0.005 | 0.007 | ||||
LPBTD × EM × PTBIi,t | 0.105 | *** | 0.114 | *** | ||
(0.000) | (0.000) | |||||
SD | 0.007 | |||||
(0.705) | ||||||
SD × PTBIi,t | −0.046 | ** | ||||
(0.017) | ||||||
LNBTD × SD | 0.017 | *** | ||||
(0.000) | ||||||
LPBTD × SD | −0.003 | |||||
LNBTD × SD × PTBIi,t | −0.192 | *** | ||||
(0.000) | ||||||
LPBTD × SD × PTBIi,t | −0.108 | ** | ||||
(0.03) | ||||||
Intercept | 0.021 | *** | ||||
No. of Obs. | 21,981 | 21,981 | 21,981 | |||
R-squared | 0.556 | 0.559 | 0.562 |
Panel A: Results of Estimating Models Based on Large BTD Sampling | ||||||
---|---|---|---|---|---|---|
Variable | LNBTD Subsample | Full Sample | LPBTD Subsample | |||
PTBIi,t | 0.685 | *** | 0.686 | *** | 0.696 | *** |
(0.000) | (0.000) | (0.000) | ||||
SD | 0.023 | *** | 0.007 | *** | 0.003 | |
(0.000) | (0.000) | |||||
SD × PTBIi,t | −0.24 | *** | −0.108 | *** | −0.092 | *** |
(0.000) | (0.000) | (0.009) | ||||
Intercept | 0.047 | *** | 0.034 | *** | 0.032 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 4395 | 21,981 | 4396 | |||
R-squared | 0.461 | 0.519 | 0.492 | |||
Panel B: Results of Estimating Models Based on Sales-Down Sampling | ||||||
Variable | Sales-Up Subsample | Full Sample | Sales-Down Subsample | |||
PTBIi,t | 0.747 | *** | 0.697 | *** | 0.708 | *** |
(0.000) | (0.000) | (0.000) | ||||
LNBTD | 0.021 | *** | 0.017 | *** | 0.039 | *** |
(0.000) | (0.000) | (0.000) | ||||
LPBTD | 0.007 | *** | 0.007 | 0.005 | ||
LNBTD × PTBIi,t | −0.062 | *** | −0.039 | *** | −0.264 | *** |
(0.000) | ||||||
LPBTD × PTBIi,t | −0.051 | *** | −0.075 | *** | −0.104 | ** |
(0.000) | (0.000) | (0.014) | ||||
Intercept | 0.026 | *** | 0.031 | *** | 0.031 | *** |
(0.000) | (0.000) | (0.000) | ||||
No. of Obs. | 17,911 | 21,981 | 4070 | |||
R-squared | 0.589 | 0.5216 | 0.314 |
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Anderson, M.; Rahiminejad, S. Book–Tax Differences and Earnings Persistence: The Moderating Role of Sales Decline. J. Risk Financial Manag. 2025, 18, 389. https://doi.org/10.3390/jrfm18070389
Anderson M, Rahiminejad S. Book–Tax Differences and Earnings Persistence: The Moderating Role of Sales Decline. Journal of Risk and Financial Management. 2025; 18(7):389. https://doi.org/10.3390/jrfm18070389
Chicago/Turabian StyleAnderson, Mark, and Sina Rahiminejad. 2025. "Book–Tax Differences and Earnings Persistence: The Moderating Role of Sales Decline" Journal of Risk and Financial Management 18, no. 7: 389. https://doi.org/10.3390/jrfm18070389
APA StyleAnderson, M., & Rahiminejad, S. (2025). Book–Tax Differences and Earnings Persistence: The Moderating Role of Sales Decline. Journal of Risk and Financial Management, 18(7), 389. https://doi.org/10.3390/jrfm18070389