> For the complete documentation index, see [llms.txt](https://ark-defai.gitbook.io/ark/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://ark-defai.gitbook.io/ark/4.-layer-1-or-economic-laws-of-ark-defai/4.2-five-regulation-modules/4.2.1-em-module-or-emissions-manager-intelligent-debt-issuance-module/iii.-daily-issuance-limit-calculation-formula.md).

# III. Daily Issuance Limit Calculation Formula

#### III. Daily Issuance Limit Calculation Formula

```
Max Emission = Total Supply × BaseEmissionRate × ((Premium + 1) / (minPremium + 1))
```

* **Total Supply**: Current issued ARK quantity (e.g., 10,000,000 tokens)
* **BaseEmissionRate**: Daily maximum release base rate (e.g., 0.02%)
* **Premium**: Market price ÷ backing price (e.g., Premium = 2.0)
* **minPremium**: Minimum premium threshold set by DAO (e.g., minPremium = 1.0)

#### Example Calculation

Assumptions:

* Total Supply = 10,000,000 ARK tokens
* BaseEmissionRate = 0.02% (= 0.0002)
* Premium = 2.0
* minPremium = 1.0

Apply the formula:

```
Max Emission = 10,000,000 × 0.0002 × ((2.0 + 1) / (1.0 + 1))
             = 10,000,000 × 0.0002 × 1.5
             = 3,000 ARK tokens
```

Result: The protocol can issue a maximum of 3,000 ARK bonds on that day.
