Forge of Empires ARC Calculator
Optimize Your Great Building Investments
Enter the current level of your Great Building.
Enter the desired level for your Great Building.
The base FP cost to upgrade from level N to N+1 (found on wikis).
The percentage increase in FP cost for each subsequent level (e.g., 1.8 for 80% increase).
The base FP generated daily by the GB at level N.
The percentage increase in FP reward for each subsequent level (e.g., 1.05 for 5% increase).
Your current campaign/map boost for FP rewards (e.g., 9 for 9%).
Investment Analysis
The total FP cost is calculated by summing the cost of each individual level upgrade from the current to the target level, applying the cost multiplier for each step. The average cost per level is the total cost divided by the number of levels gained. The final daily FP reward is based on the base reward at the target level, increased by the reward multiplier per level, and then boosted by your campaign/map percentage.
What is the Forge of Empires ARC Calculator?
The Forge of Empires ARC Calculator is a specialized tool designed to help players of the popular browser-based strategy game, Forge of Empires (FoE), optimize their investment in the “Age of Construction” (ARC) Great Building. This calculator focuses on determining the Forge Points (FP) required to raise an ARC to a specific level and, crucially, projecting the resulting daily FP income at that level, factoring in your current boosts. It allows players to perform cost-benefit analyses, understand the diminishing returns of investing in high-level Great Buildings, and make informed decisions about where to allocate their valuable Forge Points for maximum long-term gain.
Who should use it?
- Players aiming to strategically upgrade their Age of Construction Great Building.
- Players who want to maximize their daily Forge Point generation.
- Players deciding whether to invest in a new Great Building or upgrade an existing one.
- Guild leaders looking to guide their members on optimal Great Building strategies.
Common Misconceptions:
- Misconception: All Great Buildings have the same cost and reward scaling. Reality: While the calculator uses general multipliers, specific GBs have unique base costs and scaling factors. Always check reliable sources like FoE wiki for precise numbers.
- Misconception: Investing more FP always leads to proportionally higher rewards. Reality: The rewards often have diminishing returns, especially at very high levels. The ARC calculator helps visualize this trade-off.
- Misconception: The calculator accounts for all game mechanics. Reality: This calculator focuses on FP cost and daily FP reward. Other factors like event rewards, goods production, or troop bonuses are not included.
Forge of Empires ARC Calculator Formula and Mathematical Explanation
The Forge of Empires ARC Calculator simplifies the complex scaling of Great Buildings into a manageable calculation. It estimates the total Forge Point (FP) cost to reach a target level and the subsequent daily FP reward. The core of the calculation involves iterative summation for costs and a direct calculation for rewards.
Cost Calculation:
The cost to upgrade a Great Building from level n to level n+1 increases with each level. The calculator uses a base cost and a multiplier to estimate this. The total cost is the sum of the costs for each individual level upgrade.
Let:
CL= Current LevelTL= Target LevelBC= Base Cost (for level 1 to 2)CM= Cost Multiplier (per level)
The cost to upgrade from level i to i+1 is approximated by: Cost(i, i+1) = BC * (CM ^ (i - 1))
The total FP cost from CL to TL is:
Total_FP_Cost = Σ [ BC * (CM ^ (i - 1)) ] for i from CL to TL - 1
Reward Calculation:
The daily Forge Point reward also scales with level, with a base reward and a multiplier.
Let:
BR= Base FP Reward (at level 1)RM= Reward Multiplier (per level)BRate= Boost Rate (%)
The FP reward at level L is approximated by: Reward(L) = BR * (RM ^ (L - 1))
The final boosted daily FP reward at the TL is:
Final_Daily_FP_Reward = Reward(TL) * (1 + BRate / 100)
Intermediate Values:
Levels Gained: TL - CL
Average FP Cost per Level: Total_FP_Cost / (TL - CL)
Variables Table:
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Current Level (CL) | The starting level of the Great Building. | Level | 1+ |
| Target Level (TL) | The desired end level for the Great Building. | Level | CL+1+ |
| Base Cost (BC) | The FP cost to upgrade from level 1 to level 2. | Forge Points (FP) | 1,000 – 50,000+ |
| Cost Multiplier (CM) | Factor by which FP cost increases per level. | Multiplier | ~1.5 – 2.0 (e.g., 1.8 for 80% increase) |
| Base FP Reward (BR) | The base daily FP generated by the GB at level 1. | Forge Points (FP) / Day | 10 – 500+ |
| Reward Multiplier (RM) | Factor by which FP reward increases per level. | Multiplier | ~1.01 – 1.10 (e.g., 1.05 for 5% increase) |
| Boost Rate (BRate) | Your current campaign/map FP boost percentage. | % | 0 – 100+ |
| Total FP Cost | Sum of all FP needed for upgrades. | Forge Points (FP) | Variable |
| Final Daily FP Reward | Projected daily FP income after boosts. | Forge Points (FP) / Day | Variable |
Practical Examples (Real-World Use Cases)
Understanding the ARC Calculator involves looking at practical scenarios. Here are two examples demonstrating its use:
Example 1: Upgrading a Mid-Game ARC
A player has their Age of Construction (ARC) at Level 20 and wants to upgrade it to Level 30. They are using a map with a 15% FP boost.
- Inputs:
- Current Level: 20
- Target Level: 30
- Base Cost (Level 1-2): 12,000 FP
- Cost Multiplier: 1.8
- Base FP Reward (Level 1): 80 FP
- Reward Multiplier: 1.05
- Boost Rate: 15%
- Calculation Results (from calculator):
- Primary Result (Total FP Cost): ~ 5,364,000 FP
- Levels Gained: 10
- Avg FP Cost/Level: 536,400 FP
- Final Daily FP Reward: ~ 621 FP (at Level 30)
Interpretation: This player would need to invest over 5.3 million Forge Points to reach Level 30. The daily reward at Level 30, including their 15% boost, is projected to be around 621 FP. This helps them gauge if the significant FP investment is worthwhile compared to other potential uses of their FP, such as contributing to guildmates’ GBs or upgrading other strategic buildings.
Example 2: Evaluating a High-Level ARC Investment
A player wants to know the cost and benefit of taking their ARC from Level 70 to Level 80. They have a 25% FP boost active.
- Inputs:
- Current Level: 70
- Target Level: 80
- Base Cost (Level 1-2): 12,000 FP (assuming same GB type as Ex1)
- Cost Multiplier: 1.8
- Base FP Reward (Level 1): 80 FP (assuming same GB type as Ex1)
- Reward Multiplier: 1.05
- Boost Rate: 25%
- Calculation Results (from calculator):
- Primary Result (Total FP Cost): ~ 25,650,000 FP
- Levels Gained: 10
- Avg FP Cost/Level: 2,565,000 FP
- Final Daily FP Reward: ~ 1,379 FP (at Level 80)
Interpretation: The jump from Level 70 to 80 requires a massive 25.6 million FP investment. While the daily FP reward significantly increases to nearly 1,379 FP (with boost), the player must assess if this is the most efficient use of such a large sum. The average cost per level skyrockets at these higher tiers, highlighting the diminishing returns relative to the cost. This calculation is crucial for long-term planning and resource management in Forge of Empires.
How to Use This Forge of Empires ARC Calculator
Using the Forge of Empires ARC Calculator is straightforward. Follow these steps to get precise investment insights:
- Locate Accurate GB Data: Before using the calculator, find the specific “Base Cost (per level)” and “Base FP Reward (per level)” for your Age of Construction Great Building at level 1. This data is crucial and can usually be found on reliable Forge of Empires fan wikis or community resources.
- Input Current Level: Enter the current level of your ARC in the “Current Level” field.
- Input Target Level: Enter the desired level you aim to reach in the “Target Level” field.
- Enter Base Cost: Input the Forge Points required to upgrade from Level 1 to Level 2.
- Enter Cost Multiplier: Input the percentage increase in cost per level. For example, if the cost increases by 80% each level, the multiplier is 1.8. Check your wiki for the correct value.
- Enter Base FP Reward: Input the daily FP reward your ARC generates at Level 1.
- Enter Reward Multiplier: Input the percentage increase in FP reward per level. If it increases by 5% each level, the multiplier is 1.05.
- Enter Your Boost Rate: Input your current total percentage boost for Forge Point rewards from your campaign map, events, or other sources. For 9% boost, enter 9.
- Click ‘Calculate Investment’: The calculator will process your inputs and display the results.
How to Read Results:
- Primary Highlighted Result: This is the Total FP Cost. It represents the total Forge Points you need to spend to achieve the upgrade.
- Levels Gained: Simply the difference between your target and current levels.
- Avg FP Cost/Level: The average FP investment required for each level gained in this range. Higher numbers indicate more expensive levels.
- Final Daily FP Reward: This is the projected daily Forge Point income you will receive at your Target Level, including your specified boost rate. This is key for assessing long-term ROI.
Decision-Making Guidance:
Compare the Total FP Cost against the Final Daily FP Reward. Consider the timeframe over which you expect to benefit from the increased reward. A higher average cost per level suggests diminishing returns, meaning later levels are significantly more expensive for proportionally smaller gains compared to earlier levels. Use this information to prioritize your Great Building upgrades based on your current game stage, FP generation capacity, and guild needs.
Key Factors That Affect Forge of Empires ARC Calculator Results
Several factors significantly influence the outcome of the ARC Calculator and your overall Great Building strategy in Forge of Empires. Understanding these is key to interpreting the results accurately:
- Base Cost and Reward Values: The foundation of the calculation. The specific numbers for your Age of Construction (ARC) GB, sourced from wikis, directly determine the costs and rewards. Different GBs have vastly different starting points.
- Cost and Reward Multipliers: These define the scaling curve. A higher cost multiplier means costs inflate rapidly, making later levels extremely expensive. A higher reward multiplier means rewards increase more substantially per level, potentially justifying higher costs. The ARC is particularly valuable due to its favourable reward scaling.
- Current and Target Levels: The range of levels you’re calculating dictates the number of upgrades and thus the total cost. The exponential nature of the cost formula means the difference between upgrading from level 60-70 versus 70-80 can be astronomical.
- Forge Point Boost Rate: Your active boosts (campaign map, events, special items) directly amplify the FP rewards. A higher boost rate makes higher levels more appealing by increasing the effective daily FP income relative to the cost. Maximizing boosts is crucial for high-level GBs.
- Forge Point Generation Capacity: While not a direct input, your overall ability to generate FP daily (from your own GBs, friends’ GBs, etc.) determines how quickly you can afford the calculated total FP cost. A high cost might be feasible if you generate 100k FP daily but prohibitive if you only generate 1k.
- Time Horizon and Diminishing Returns: How long do you plan to benefit from this GB? High-level upgrades incur massive costs. While the daily reward increases, the cost per additional FP reward often grows. The calculator helps identify the point where the cost starts to outweigh the benefit significantly.
- Opportunity Cost: The FP used to upgrade your ARC could have been used elsewhere – supporting guildmates, investing in other valuable GBs (like Crows, Seed Tree, StEx), or participating in events. The calculator’s results must be weighed against these alternative uses of your resources.
- Game Age and Progression: The value of FP and the cost/reward ratios change dramatically as you progress through different Ages. An investment that’s excellent in the Bronze Age might be inefficient in the Future Era. Ensure the base values and multipliers you use are relevant to your current game Age.
Frequently Asked Questions (FAQ)