> For the complete documentation index, see [llms.txt](https://docs.marquee.fi/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.marquee.fi/protocol/rate-of-reward-and-apy.md).

# Rate of Reward & APY

**Rate of Reward**

The reward rate to stakers is the percentage increase in sMARQ in the next epoch. The reward rate can be calculated below:

<figure><img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2Fz6VL5ZohjlCnopVTQykH%2Fimage.png?alt=media&amp;token=d786bf07-50de-4390-bc30-75a86946bd0e" alt=""><figcaption></figcaption></figure>

Where <img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2FJcY9HQoDg0KW5kEIlIeX%2Fimage.png?alt=media&amp;token=87e3627c-d1df-4fbe-852d-40db603dcf5b" alt="" data-size="line">is the reward rate in the current epoch,<img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2FCkQBSid7mgnOb3onTM4k%2Fimage.png?alt=media&amp;token=78484643-2414-4f8f-98e6-b6f428848a69" alt="" data-size="line">is the total amount of MARQ allocated to stakers <img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2F7naEvMm4dOAXVzuK5u6X%2Fimage.png?alt=media&amp;token=066f7732-4fcb-44ef-93f9-035eacbdef71" alt="" data-size="line">is the total amount of sMARQ from the last epoch.​

**Annual Percentage Yield**

The annual reward rate for MARQ stakers compounded 3 times a day. Hence, the total number of epochs used to compound the return is 365\*3=1095, and the APY can be calculated below:

<figure><img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2Fnvji0qZxmI8gZz1lOgqy%2Fimage.png?alt=media&amp;token=0cdd0d07-0341-478f-b128-77236c0af865" alt=""><figcaption></figcaption></figure>

The power of compounding will increase the value of stakers’ assets exponentially.​

**MARQ Supply per Epoch**

The protocol distributes part of newly minted MARQ to stakers, denote by, which is calculated according to the following equation:

<figure><img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2FPqXWErhUL24Ld6CZpvcS%2Fimage.png?alt=media&amp;token=c914cdfe-5340-41bc-8ecf-b25eb0f5e977" alt=""><figcaption></figcaption></figure>

where <img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2FSq3IztyRiOykm7v8SfQH%2Fimage.png?alt=media&amp;token=b0e569c7-fe39-4bbf-9343-e7fd686b3261" alt="" data-size="line">is the residual of total MARQ supply, <img src="https://861883817-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FPIb4gnynQNxiMZr6WGfk%2Fuploads%2FM1xI3NddJDdcinpcd5q8%2Fimage.png?alt=media&amp;token=4ed3f5fa-5445-4644-81d7-67d9f5584ab8" alt="" data-size="line">is the reward ratio which is determined by the protocol and DAO governance.
