Exponential Smoothing Forecast Calculator
Calculate demand forecasts using simple exponential smoothing. Apply a smoothing constant (alpha) to weight recent demand more heavily.
Calculate Mean Absolute Percentage Error to measure forecast accuracy. Express average deviation between actual and forecast as a percentage.
| Period | Actual | Forecast | Error | % Error |
|---|---|---|---|---|
| P1 | 100 | 105 | -5.0 | 5.00% |
| P2 | 120 | 115 | 5.0 | 4.17% |
| P3 | 110 | 108 | 2.0 | 1.82% |
| P4 | 130 | 140 | -10.0 | 7.69% |
| MAPE Range | Quality | Interpretation |
|---|---|---|
| < 10% | Excellent | Forecast is highly accurate |
| 10–20% | Good | Forecast is reliable for planning |
| 20–50% | Fair | Forecast has moderate error |
| > 50% | Poor | Forecast needs review |
Mean Absolute Percentage Error (MAPE) is one of the most commonly used metrics for evaluating forecast accuracy. It expresses the average absolute error as a percentage of actual demand, making it intuitive and easy to communicate across the organization.
MAPE is calculated by taking the absolute difference between actual and forecast for each period, dividing by the actual value, averaging across all periods, and multiplying by 100. A MAPE of 10% means the forecast is, on average, within 10% of actual demand.
This calculator accepts pairs of actual and forecast values and computes the overall MAPE, along with per-period percentage errors for diagnosis.
Use the result to compare operating scenarios, pressure-test assumptions, and rerun the model when volumes, rates, or service targets change.
Use the output to compare options, spot the main cost drivers, and rerun the math when lane assumptions or operating constraints change.
Use the output to compare options, spot the main cost drivers, and rerun the math when lane assumptions or operating constraints change.
MAPE provides a scale-independent measure of forecast accuracy that is easy for non-technical stakeholders to understand. A single percentage number communicates forecast quality quickly. This calculator eliminates manual error computation, helping demand planners track and report forecast performance efficiently.
MAPE = (1/n) × Σ|Actual_i − Forecast_i| / Actual_i × 100
Where n is the number of periods.
Note: Periods where Actual = 0 are excluded to avoid division by zero.Result: MAPE = 4.6%
Period errors: |100-105|/100=5%, |120-115|/120=4.2%, |110-108|/110=1.8%, |130-140|/130=7.7%. Average = (5 + 4.2 + 1.8 + 7.7) / 4 = 4.6%.
Less than 10% MAPE indicates a high-quality forecast suitable for fine-tuned inventory management. Between 10–25% is acceptable for most supply chain planning. Above 25% suggests the forecasting method or data needs significant improvement. Always compare MAPE against a naïve forecast (e.g., last period's demand) to confirm your model adds value.
For intermittent demand, use MASE (Mean Absolute Scaled Error). For symmetric evaluation, use sMAPE. For operations that care about absolute quantities rather than percentages, use MAD. Each metric highlights different aspects of forecast quality.
Track MAPE over time to measure the impact of forecasting improvements. Set MAPE targets by product group and review monthly. Recognize that no forecast is perfect  even world-class organizations rarely achieve MAPE below 5% across their full product portfolio.
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MAPE measures the average absolute forecast error expressed as a percentage of actual demand. It answers the question: on average, how far off is our forecast in percentage terms?
It depends on the industry and demand variability. For fast-moving consumer goods, <10% is excellent. For high-variability or intermittent demand, 20–30% may be acceptable. Always benchmark against your historical MAPE.
When actual demand is small, even a one-unit error produces a high percentage. For example, actual = 2 and forecast = 3 yields 50% error. For intermittent demand, use MAD or MASE instead.
MAPE is undefined when actual = 0 because of division by zero. This calculator excludes those periods. Consider using MAD or weighted MAPE for datasets with zero-demand periods.
No. MAPE penalizes over-forecasting more heavily than under-forecasting due to the asymmetry of percentage errors. Symmetric MAPE (sMAPE) uses the average of actual and forecast in the denominator for balance.
MAPE measures error magnitude but not direction. A process could have low MAPE but systematic bias (consistently over or under). Use the Bias/Tracking Signal calculator alongside MAPE for a complete view.
Calculate demand forecasts using simple exponential smoothing. Apply a smoothing constant (alpha) to weight recent demand more heavily.
Calculate forecast bias and tracking signal to detect systematic over- or under-forecasting. Identify directional errors in your demand forecast.
Calculate Mean Absolute Deviation to measure forecast accuracy in units. Determine the average absolute difference between actual and forecast demand.