# Cartesi SRB

CTSISRB is a benchmark that represents the mean, annualized staking rate across all active Cartesi validators.

CTSISRB is calculated and published by Staking Rewards via the [Cartesi Profile](https://www.stakingrewards.com/asset/cartesi) and [Data API](https://www.stakingrewards.com/data-api).

> **TL;DR:** Cartesi staking rewards come from annual block reward emissions divided by total staked CTSI tokens. Validator-level rates are adjusted by individual performance and commission. There is no slashing for node failures at present.

$$
CTSISRB = (br \* t\_y) / st
$$

<table data-full-width="false"><thead><tr><th width="141">Formula key</th><th width="158">Metric name</th><th>Description</th></tr></thead><tbody><tr><td>br</td><td>Block Rewards</td><td>The total amount of tokens emitted per year.</td></tr><tr><td>st</td><td>Staked Tokens</td><td>The total number of CTSI tokens bonded with active, non-jailed validators.</td></tr><tr><td><span class="math">t_y</span></td><td>Year Constant</td><td>365d</td></tr></tbody></table>

* CTSISRB takes into account all accumulated rewards, whether they have been claimed or remain unclaimed.
* CTSISRB operates on a non-compounded basis, meaning it excludes returns generated from the reinvestment of rewards.
* CTSISRB is based on an assumption of 100% validator efficiency. For a SRB Reward Rate adjusted according to individual validator performance, please refer to CTSISRB(v).

***

#### Slashing

1. CTSISRB does not factor in the possibility of slashing occurrences.
2. There is no slashing due to any node failure at the moment.

***

### Cartesi Validator Staking Rewards Rate: CTSISRB(v)

Staking Rewards calculates the CTSISRB for each validator based on their individual performance and commission rate.

$$
CTSISRB(v) = CTSISRB \* (1*p)*(1-cr)
$$

<table data-full-width="false"><thead><tr><th width="129">Formula key</th><th width="176">Metric name</th><th>Description</th></tr></thead><tbody><tr><td>p</td><td>Performance</td><td>The percentage of successfully validated blocks.</td></tr><tr><td>cr</td><td>Commission Rate</td><td>The percentage commission rate the validator has set as a delegation fee for all delegators.</td></tr></tbody></table>

***

#### Observation Period:

1. The CTSISRB is determined based on the latest generated block at the point of evaluation.
2. This data is then annualized for a comprehensive year-long projection.

#### Calculation

The calculation happens every 2 hours and is immediately published via [Data API](https://www.stakingrewards.com/data-api).

#### Limitations

1. CTSISRB excludes rewards accrued from Interchain/Replicated Security.
2. CTSISRB employs a 365-day convention for annualizing current block provisions and daily fees. This convention remains consistent and does not accommodate adjustments for leap years.

***

### CTSI Real Reward Rate (CTSISRB^R)

The real reward rate calculates the CTSISRB adjusted for inflation in the network.

$$
CTSISRB^R = 1+CTSISRB /(1+i)-1
$$

<table data-full-width="false"><thead><tr><th width="150.33333333333331">Formula key</th><th width="265">Metric name</th><th>Description</th></tr></thead><tbody><tr><td>i</td><td>Inflation Rate</td><td>The block rewards adjusted by staked tokens and divided by the total CTSI circulating supply in the network.</td></tr></tbody></table>

#### Inflation Rate Behaviour

CTSI will have no need for inflation until the mine reserve is completely depleted, which will happen no earlier than 2026. Inflation is one of the topic considered by Cartesi contributors in released [CTSI Macroeconomy](https://medium.com/cartesi/the-ctsi-macroeconomy-ea60a35ab2f3) article.

***

### Other Cartesi metrics calculated by Staking Rewards:

<table data-full-width="false"><thead><tr><th width="212.99999999999994">Metric</th><th>Description</th></tr></thead><tbody><tr><td>Delegated Tokens</td><td>The number of CTSI tokens delegated to validators.</td></tr><tr><td>Self Staked Tokens</td><td>The number of CTSI tokens staked by validators directly.</td></tr><tr><td>Staking Wallets</td><td>This metric refers to the total quantity of distinct delegations made. It doesn't distinguish based on unique delegator addresses and excludes considerations of any minimum delegation thresholds.</td></tr></tbody></table>

***

#### Data Sources:

* [Staking Rewards](https://www.stakingrewards.com/) from indexed Cartesi Blocks and Blockchain RPC Endpoints

***

#### References:

* <https://docs.cartesi.io/cartesi-rollups/1.3/>

***

:books: [Learn more about CTSI Staking](https://www.stakingrewards.com/asset/cartesi)

:bar\_chart: [Calculate your CTSI Staking Rewards](https://www.stakingrewards.com/calculator?asset=cartesi)

:gear: [Access historic Cartesi Staking Data via API](https://www.stakingrewards.com/data-api)

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Last updated on 05/23/2024
```


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