--- name: variance-analysis description: Decompose financial variances into drivers with narrative explanations and waterfall analysis. Use when analyzing budget vs. actual, period-over-period changes, revenue or expense variances, or preparing variance commentary for leadership. argument-hint: " vs " --- # Variance Analysis **Important**: This skill assists with variance analysis workflows but does not provide financial advice. All analyses should be reviewed by qualified financial professionals before use in reporting. Techniques for decomposing variances, materiality thresholds, narrative generation, waterfall chart methodology, and budget vs actual vs forecast comparisons. ## Variance Decomposition Techniques ### Price / Volume Decomposition The most fundamental variance decomposition. Used for revenue, cost of goods, and any metric that can be expressed as Price x Volume. **Formula:** ``` Total Variance = Actual - Budget (or Prior) Volume Effect = (Actual Volume - Budget Volume) x Budget Price Price Effect = (Actual Price - Budget Price) x Actual Volume Mix Effect = Residual (interaction term), or allocated proportionally Verification: Volume Effect + Price Effect = Total Variance (when mix is embedded in the price/volume terms) ``` **Three-way decomposition (separating mix):** ``` Volume Effect = (Actual Volume - Budget Volume) x Budget Price x Budget Mix Price Effect = (Actual Price - Budget Price) x Budget Volume x Actual Mix Mix Effect = Budget Price x Budget Volume x (Actual Mix - Budget Mix) ``` **Example — Revenue variance:** - Budget: 10,000 units at $50 = $500,000 - Actual: 11,000 units at $48 = $528,000 - Total variance: +$28,000 favorable - Volume effect: +1,000 units x $50 = +$50,000 (favorable — sold more units) - Price effect: -$2 x 11,000 units = -$22,000 (unfavorable — lower ASP) - Net: +$28,000 ### Rate / Mix Decomposition Used when analyzing blended rates across segments with different unit economics. **Formula:** ``` Rate Effect = Sum of (Actual Volume_i x (Actual Rate_i - Budget Rate_i)) Mix Effect = Sum of (Budget Rate_i x (Actual Volume_i - Expected Volume_i at Budget Mix)) ``` **Example — Gross margin variance:** - Product A: 60% margin, Product B: 40% margin - Budget mix: 50% A, 50% B → Blended margin 50% - Actual mix: 40% A, 60% B → Blended margin 48% - Mix effect explains 2pp of margin compression ### Headcount / Compensation Decomposition Used for analyzing payroll and people-cost variances. ``` Total Comp Variance = Actual Compensation - Budget Compensation Decompose into: 1. Headcount variance = (Actual HC - Budget HC) x Budget Avg Comp 2. Rate variance = (Actual Avg Comp - Budget Avg Comp) x Budget HC 3. Mix variance = Difference due to level/department mix shift 4. Timing variance = Hiring earlier/later than planned (partial-period effect) 5. Attrition impact = Savings from unplanned departures (partially offset by backfill costs) ``` ### Spend Category Decomposition Used for operating expense analysis when price/volume is not applicable. ``` Total OpEx Variance = Actual OpEx - Budget OpEx Decompose by: 1. Headcount-driven costs (salaries, benefits, payroll taxes, recruiting) 2. Volume-driven costs (hosting, transaction fees, commissions, shipping) 3. Discretionary spend (travel, events, professional services, marketing programs) 4. Contractual/fixed costs (rent, insurance, software licenses, subscriptions) 5. One-time / non-recurring (severance, legal settlements, write-offs, project costs) 6. Timing / phasing (spend shifted between periods vs plan) ``` ## Materiality Thresholds and Investigation Triggers ### Setting Thresholds Materiality thresholds determine which variances require investigation and narrative explanation. Set thresholds based on: 1. **Financial statement materiality:** Typically 1-5% of a key benchmark (revenue, total assets, net income) 2. **Line item size:** Larger line items warrant lower percentage thresholds 3. **Volatility:** More volatile line items may need higher thresholds to avoid noise 4. **Management attention:** What level of variance would change a decision? ### Recommended Threshold Framework | Comparison Type | Dollar Threshold | Percentage Threshold | Trigger | |----------------|-----------------|---------------------|---------| | Actual vs Budget | Organization-specific | 10% | Either exceeded | | Actual vs Prior Period | Organization-specific | 15% | Either exceeded | | Actual vs Forecast | Organization-specific | 5% | Either exceeded | | Sequential (MoM) | Organization-specific | 20% | Either exceeded | *Set dollar thresholds based on your organization's size. Common practice: 0.5%-1% of revenue for income statement items.* ### Investigation Priority When multiple variances exceed thresholds, prioritize investigation by: 1. **Largest absolute dollar variance** — biggest P&L impact 2. **Largest percentage variance** — may indicate process issue or error 3. **Unexpected direction** — variance opposite to trend or expectation 4. **New variance** — item that was on track and is now off 5. **Cumulative/trending variance** — growing each period ## Narrative Generation for Variance Explanations ### Structure for Each Variance Narrative ``` [Line Item]: [Favorable/Unfavorable] variance of $[amount] ([percentage]%) vs [comparison basis] for [period] Driver: [Primary driver description] [2-3 sentences explaining the business reason for the variance, with specific quantification of contributing factors] Outlook: [One-time / Expected to continue / Improving / Deteriorating] Action: [None required / Monitor / Investigate further / Update forecast] ``` ### Narrative Quality Checklist Good variance narratives should be: - [ ] **Specific:** Names the actual driver, not just "higher than expected" - [ ] **Quantified:** Includes dollar and percentage impact of each driver - [ ] **Causal:** Explains WHY it happened, not just WHAT happened - [ ] **Forward-looking:** States whether the variance is expected to continue - [ ] **Actionable:** Identifies any required follow-up or decision - [ ] **Concise:** 2-4 sentences, not a paragraph of filler ### Common Narrative Anti-Patterns to Avoid - "Revenue was higher than budget due to higher revenue" (circular — no actual explanation) - "Expenses were elevated this period" (vague — which expenses? why?) - "Timing" without specifying what was early/late and when it will normalize - "One-time" without explaining what the item was - "Various small items" for a material variance (must decompose further) - Focusing only on the largest driver and ignoring offsetting items ## Waterfall Chart Methodology ### Concept A waterfall (or bridge) chart shows how you get from one value to another through a series of positive and negative contributors. Used to visualize variance decomposition. ### Data Structure ``` Starting value: [Base/Budget/Prior period amount] Drivers: [List of contributing factors with signed amounts] Ending value: [Actual/Current period amount] Verification: Starting value + Sum of all drivers = Ending value ``` ### Text-Based Waterfall Format When a charting tool is not available, present as a text waterfall: ``` WATERFALL: Revenue — Q4 Actual vs Q4 Budget Q4 Budget Revenue $10,000K | |--[+] Volume growth (new customers) +$800K |--[+] Expansion revenue (existing customers) +$400K |--[-] Price reductions / discounting -$200K |--[-] Churn / contraction -$350K |--[+] FX tailwind +$50K |--[-] Timing (deals slipped to Q1) -$150K | Q4 Actual Revenue $10,550K Net Variance: +$550K (+5.5% favorable) ``` ### Bridge Reconciliation Table Complement the waterfall with a reconciliation table: | Driver | Amount | % of Variance | Cumulative | |--------|--------|---------------|------------| | Volume growth | +$800K | 145% | +$800K | | Expansion revenue | +$400K | 73% | +$1,200K | | Price reductions | -$200K | -36% | +$1,000K | | Churn / contraction | -$350K | -64% | +$650K | | FX tailwind | +$50K | 9% | +$700K | | Timing (deal slippage) | -$150K | -27% | +$550K | | **Total variance** | **+$550K** | **100%** | | *Note: Percentages can exceed 100% for individual drivers when there are offsetting items.* ### Waterfall Best Practices 1. Order drivers from largest positive to largest negative (or in logical business sequence) 2. Keep to 5-8 drivers maximum — aggregate smaller items into "Other" 3. Verify the waterfall reconciles (start + drivers = end) 4. Color-code: green for favorable, red for unfavorable (in visual charts) 5. Label each bar with both the amount and a brief description 6. Include a "Total Variance" summary bar ## Budget vs Actual vs Forecast Comparisons ### Three-Way Comparison Framework | Metric | Budget | Forecast | Actual | Bud Var ($) | Bud Var (%) | Fcast Var ($) | Fcast Var (%) | |--------|--------|----------|--------|-------------|-------------|---------------|---------------| | Revenue | $X | $X | $X | $X | X% | $X | X% | | COGS | $X | $X | $X | $X | X% | $X | X% | | Gross Profit | $X | $X | $X | $X | X% | $X | X% | ### When to Use Each Comparison - **Actual vs Budget:** Annual performance measurement, compensation decisions, board reporting. Budget is set at the beginning of the year and typically not changed. - **Actual vs Forecast:** Operational management, identifying emerging issues. Forecast is updated periodically (monthly or quarterly) to reflect current expectations. - **Forecast vs Budget:** Understanding how expectations have changed since planning. Useful for identifying planning accuracy issues. - **Actual vs Prior Period:** Trend analysis, sequential performance. Useful when budget is not meaningful (new business lines, post-acquisition). - **Actual vs Prior Year:** Year-over-year growth analysis, seasonality-adjusted comparison. ### Forecast Accuracy Analysis Track how accurate forecasts are over time to improve planning: ``` Forecast Accuracy = 1 - |Actual - Forecast| / |Actual| MAPE (Mean Absolute Percentage Error) = Average of |Actual - Forecast| / |Actual| across periods ``` | Period | Forecast | Actual | Variance | Accuracy | |--------|----------|--------|----------|----------| | Jan | $X | $X | $X (X%) | XX% | | Feb | $X | $X | $X (X%) | XX% | | ... | ... | ... | ... | ... | | **Avg**| | | **MAPE** | **XX%** | ### Variance Trending Track how variances evolve over the year to identify systematic bias: - **Consistently favorable:** Budget may be too conservative (sandbagging) - **Consistently unfavorable:** Budget may be too aggressive or execution issues - **Growing unfavorable:** Deteriorating performance or unrealistic targets - **Shrinking variance:** Forecast accuracy improving through the year (normal pattern) - **Volatile:** Unpredictable business or poor forecasting methodology --- Attribution added by YourAIKit. It is not part of the upstream file. - Source: https://github.com/anthropics/knowledge-work-plugins/tree/main/finance/skills/variance-analysis - Credit: Anthropic, Knowledge Work Plugins (finance) - Upstream copy: anthropics/knowledge-work-plugins at commit 33d3dea41a341b341d4f5da2e8801ae0c89be2b8, finance/skills/variance-analysis/SKILL.md - Copyright: held by the upstream authors credited above - License: Apache-2.0. Full text: https://youraikit.com/licenses/anthropics-knowledge-work-plugins-finance/LICENSE - The full upstream license text (LICENSE) follows. License (LICENSE): ```text Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ```