# Stake Formulas and Math

Don't worry, you don't need to know or understand any of this math if you are a regular ape! Just know that everything is algorithmically programmed and built to last! 

You can easily see what you will earn by using the [calculator on the website](https://maxx.finance/#calc)!

<table><thead><tr><th width="176.53943883623788"></th><th></th></tr></thead><tbody><tr><td>Minimum Stake Duration</td><td>7 Days</td></tr><tr><td>Maximum Stake Duration</td><td>3333 Days</td></tr><tr><td>Share Factor (SF)</td><td>1.000</td></tr><tr><td>Share Factor Reduction Rate (SFR)</td><td>1/3333 per day until 0.000</td></tr><tr><td>Magic Number (MN)</td><td>1111</td></tr><tr><td>Base Inflation Rate</td><td>0.18185 (18.185%) Fixed</td></tr><tr><td>Stake - Basic Shares</td><td>amount / (2-SF)</td></tr><tr><td>Stake - Bigger Pays Better Bonus %</td><td>0-10% from 0 to 20,000,000 MAXX (stake_amount / 2,000,000) capped at 10</td></tr><tr><td>Stake - Bigger Pays Better Shares</td><td>BasicShares * (bpb_bonus / 100);</td></tr><tr><td>Stake - Longer Pays Better</td><td>(BasicShares + BPB Shares) * (Duration - 1) / MN</td></tr><tr><td>Stake - Total Shares</td><td>Basic Shares + BPB Shares + LPB Shares</td></tr><tr><td>Stake - Full Duration Interest</td><td>(stake_total_shares * (stake_duration/365)) * base_inflation</td></tr><tr><td>Stake - Daily Interest</td><td>(stake_total_shares * (stake_duration/365)) * base_inflation / stake_duration</td></tr><tr><td>Stake - Annual Interest</td><td>((stake_total_shares * (stake_duration/365)) * base_inflation) / stake_duration*365</td></tr><tr><td>Stake - Annual Interest APR %</td><td>Annual Interest / Principal Amount</td></tr><tr><td>Stake - Late Withdraw Penalty rate</td><td>100/365 (0.273972602739726) % per day after 14 day grace period</td></tr></tbody></table>

### Example

With the above formulas, we can calculate exactly how many shares a user will receive at staking, and how much interest they will earn over the period.

**A user stakes 10,000,000 MAXX for 3333 days, whilst the SF is 1.000:**

**​Basic Shares** = amount / (2-SF)\
`10,000,000 / (2-1) =`` `**`10,000,000`**

**BPB Bonus** = (stake\_amount / 2,000,000) capped at 10%\
`10,000,000 / (2,000,000) =`` `**`5%`**

​**BPB Shares** = BasicShares \* (bpb\_bonus / 100);\
`10,000,000 * (5/100) =`` `**`500,000`**

**LPB Shares** = (BasicShares + BPB Shares) \* (Duration - 1) / MN\
`(10,000,000 + 500,000) * (3333 - 1) / 1111 =`` `**`31,490,549.0549`**

&#x20;**Total Shares** = Basic Shares + BPB Shares + LPB Shares\
`​10,000,000 + 500,000 + 31,490,549.0549 =`` `**`41,990,549.0549`**

**Full Duration Interest** \
(stake\_total\_shares \* (stake\_duration/365)) \* base\_inflation\
`​(41,990,549.0549 * (3333/365)) *` 0.18185 `=`**`69,728,015.9589 MAXX`**

**Annual Interest** \
((stake\_total\_shares \* (stake\_duration/365)) \* base\_inflation) / stake\_duration\*365\
`((41,990,549.0549 * (3333/365)) * 0.18185) / 3333 * 365 =`**`7,635,981.3456 MAXX`**

**Annual Interest APY%**\
Annual Interest / Principal Amount\
`7,635,981.3456 / 10,000,000 = 0.76359813456 /`**`76.36% APR`**

\
**With this, we can see that the user will earn a fixed 76.36% APR for his 3333 Day Stake of 10m MAXX.  He will earn a total of 69,728,016 MAXX, making the total withdrawable amount 79,728,016  MAXX**