---
title: Key Rewards Pool Formulas
slug: key-rewards-pool-formulas
description: Discover the essential formulas and calculations for TRESR Rewards and SMRTr cost in a gaming system with this comprehensive document. Learn about daily rewards, leveling up costs, upcoming key upgrades, treasure box maintenance, and cost per open attempt
docTags: 
createdAt: 2023-10-06T21:05:24.832Z
---

1. **$TRESR Rewards per day:** Key Level \* Treasure Tier You're Attempting to Open \* 0.125
2. **$SMRTr cost to level up** = 1850 \* Key Level^2
3. **Hours before next Key Upgrade** = 6 + Key Level
4. **Hours until treasure box must be maintained** = (8 - Treasure Tier You're Attempting to Open) \* 24
5. **Period Rewards** = \[$TRESR Rewards per day] \* \[8 - Treasure Tier You're Attempting to Open]
6. **Cost per Open Attempt** = Period Rewards \* 0.25

:::hint{type="info"}
Hint: Treasure Boxes open more easily in each Treasure Tier based on your veTRESR balance and time staking $TRESR
:::

**Probability of Opening a Box**

Personal Probability = veProbability x \[0.9 - Base Probability] + Base  Probability

Base Probability = 1 – (1.25 x Chest Level Attempting to Open/10)     	

veProbability = Days Continuously staked/208

\*Note if you are trying to "Stay on chest Level 7, this will be the chest you are attempting to Open



**Example**

*Variables*

Days Continuously Staked: 52
Attempting to Open Chest Level: 5

*Show your work*

Base Probability 

*Base Probability* = 1 – (1.25 x 5/10)

\= **0.375 (37.5%)**

*veProbability* = 52/208

\= **0.25 (or 25%)**

*Personal Probability = ****25%**** x(0.9 – ****37.5%)**** + ****37.5%***

**= 50.625% (this may be rounded in some displays)**