# # Vesting

- Vesting

## # Intro and Requirements

This specification defines the vesting account implementation that is used by
the Cosmos Hub. The requirements for this vesting account is that it should be
initialized during genesis with a starting balance `X`

and a vesting end
time `ET`

. A vesting account may be initialized with a vesting start time `ST`

and a number of vesting periods `P`

. If a vesting start time is included, the
vesting period will not begin until start time is reached. If vesting periods
are included, the vesting will occur over the specified number of periods.

For all vesting accounts, the owner of the vesting account is able to delegate and undelegate from validators, however they cannot transfer coins to another account until those coins are vested. This specification allows for three different kinds of vesting:

- Delayed vesting, where all coins are vested once
`ET`

is reached. - Continous vesting, where coins begin to vest at
`ST`

and vest linearly with respect to time until`ET`

is reached - Periodic vesting, where coins begin to vest at
`ST`

and vest periodically according to number of periods and the vesting amount per period. The number of periods, length per period, and amount per period are configurable. A periodic vesting account is distinguished from a continuous vesting account in that coins can be released in staggered tranches. For example, a periodic vesting account could be used for vesting arrangements where coins are relased quarterly, yearly, or over any other function of tokens over time.

## # Note

Vesting accounts can be initialized with some vesting and non-vesting coins.
The non-vesting coins would be immediately transferable. The current
specification does not allow for vesting accounts to be created with normal
messages after genesis. All vesting accounts must be created at genesis, or as
part of a manual network upgrade. The current specification only allows
for *unconditional* vesting (ie. there is no possibility of reaching `ET`

and
having coins fail to vest).

## # Vesting Account Types

### # BaseVestingAccount

### # ContinuousVestingAccount

### # DelayedVestingAccount

### # Period

### # PeriodicVestingAccount

In order to facilitate less ad-hoc type checking and assertions and to support
flexibility in account balance usage, the existing `x/bank`

`ViewKeeper`

interface
is updated to contain the following:

## # Vesting Account Specification

Given a vesting account, we define the following in the proceeding operations:

`OV`

: The original vesting coin amount. It is a constant value.`V`

: The number of`OV`

coins that are still*vesting*. It is derived by`OV`

,`StartTime`

and`EndTime`

. This value is computed on demand and not on a per-block basis.`V'`

: The number of`OV`

coins that are*vested*(unlocked). This value is computed on demand and not a per-block basis.`DV`

: The number of delegated*vesting*coins. It is a variable value. It is stored and modified directly in the vesting account.`DF`

: The number of delegated*vested*(unlocked) coins. It is a variable value. It is stored and modified directly in the vesting account.`BC`

: The number of`OV`

coins less any coins that are transferred (which can be negative or delegated). It is considered to be balance of the embedded base account. It is stored and modified directly in the vesting account.

### # Determining Vesting & Vested Amounts

It is important to note that these values are computed on demand and not on a
mandatory per-block basis (e.g. `BeginBlocker`

or `EndBlocker`

).

#### # Continuously Vesting Accounts

To determine the amount of coins that are vested for a given block time `T`

, the
following is performed:

- Compute
`X := T - StartTime`

- Compute
`Y := EndTime - StartTime`

- Compute
`V' := OV * (X / Y)`

- Compute
`V := OV - V'`

Thus, the total amount of *vested* coins is `V'`

and the remaining amount, `V`

,
is *vesting*.

### # Periodic Vesting Accounts

Periodic vesting accounts require calculating the coins released during each
period for a given block time `T`

. Note that multiple periods could have passed
when calling `GetVestedCoins`

, so we must iterate over each period until the
end of that period is after `T`

.

- Set
`CT := StartTime`

- Set
`V' := 0`

For each Period P:

- Compute
`X := T - CT`

- IF
`X >= P.Length`

- Compute
`V' += P.Amount`

- Compute
`CT += P.Length`

- ELSE break

- Compute
- Compute
`V := OV - V'`

#### # Delayed/Discrete Vesting Accounts

Delayed vesting accounts are easier to reason about as they only have the full amount vesting up until a certain time, then all the coins become vested (unlocked). This does not include any unlocked coins the account may have initially.

### # Transferring/Sending

At any given time, a vesting account may transfer: `min((BC + DV) - V, BC)`

.

In other words, a vesting account may transfer the minimum of the base account balance and the base account balance plus the number of currently delegated vesting coins less the number of coins vested so far.

However, given that account balances are tracked via the `x/bank`

module and that
we want to avoid loading the entire account balance, we can instead determine
the locked balance, which can be defined as `max(V - DV, 0)`

, and infer the
spendable balance from that.

The `x/bank`

`ViewKeeper`

can then provide APIs to determine locked and spendable
coins for any account:

#### # Keepers/Handlers

The corresponding `x/bank`

keeper should appropriately handle sending coins
based on if the account is a vesting account or not.

### # Delegating

For a vesting account attempting to delegate `D`

coins, the following is performed:

- Verify
`BC >= D > 0`

- Compute
`X := min(max(V - DV, 0), D)`

(portion of`D`

that is vesting) - Compute
`Y := D - X`

(portion of`D`

that is free) - Set
`DV += X`

- Set
`DF += Y`

**Note** `TrackDelegation`

only modifies the `DelegatedVesting`

and `DelegatedFree`

fields, so upstream callers MUST modify the `Coins`

field by subtracting `amount`

.

#### # Keepers/Handlers

### # Undelegating

For a vesting account attempting to undelegate `D`

coins, the following is performed:
NOTE: `DV < D`

and `(DV + DF) < D`

may be possible due to quirks in the rounding of
delegation/undelegation logic.

- Verify
`D > 0`

- Compute
`X := min(DF, D)`

(portion of`D`

that should become free, prioritizing free coins) - Compute
`Y := min(DV, D - X)`

(portion of`D`

that should remain vesting) - Set
`DF -= X`

- Set
`DV -= Y`

**Note** `TrackUnDelegation`

only modifies the `DelegatedVesting`

and `DelegatedFree`

fields, so upstream callers MUST modify the `Coins`

field by adding `amount`

.

**Note**: If a delegation is slashed, the continuous vesting account will end up
with an excess `DV`

amount, even after all its coins have vested. This is because
undelegating free coins are prioritized.

**Note**: The undelegation (bond refund) amount may exceed the delegated
vesting (bond) amount due to the way undelegation truncates the bond refund,
which can increase the validator's exchange rate (tokens/shares) slightly if the
undelegated tokens are non-integral.

#### # Keepers/Handlers

## # Keepers & Handlers

The `VestingAccount`

implementations reside in `x/auth`

. However, any keeper in
a module (e.g. staking in `x/staking`

) wishing to potentially utilize any vesting
coins, must call explicit methods on the `x/bank`

keeper (e.g. `DelegateCoins`

)
opposed to `SendCoins`

and `SubtractCoins`

.

In addition, the vesting account should also be able to spend any coins it
receives from other users. Thus, the bank module's `MsgSend`

handler should
error if a vesting account is trying to send an amount that exceeds their
unlocked coin amount.

See the above specification for full implementation details.

## # Genesis Initialization

To initialize both vesting and non-vesting accounts, the `GenesisAccount`

struct will
include new fields: `Vesting`

, `StartTime`

, and `EndTime`

. Accounts meant to be
of type `BaseAccount`

or any non-vesting type will have `Vesting = false`

. The
genesis initialization logic (e.g. `initFromGenesisState`

) will have to parse
and return the correct accounts accordingly based off of these new fields.

## # Examples

### # Simple

Given a continuous vesting account with 10 vesting coins.

Immediately receives 1 coin

Time passes, 2 coins vest

Delegates 4 coins to validator A

Sends 3 coins

More time passes, 2 more coins vest

Sends 2 coins. At this point the account cannot send anymore until further coins vest or it receives additional coins. It can still however, delegate.

### # Slashing

Same initial starting conditions as the simple example.

Time passes, 5 coins vest

Delegate 5 coins to validator A

Delegate 5 coins to validator B

Validator A gets slashed by 50%, making the delegation to A now worth 2.5 coins

Undelegate from validator A (2.5 coins)

Undelegate from validator B (5 coins). The account at this point can only send 2.5 coins unless it receives more coins or until more coins vest. It can still however, delegate.

Notice how we have an excess amount of

`DV`

.

### # Periodic Vesting

A vesting account is created where 100 tokens will be released over 1 year, with 1/4 of tokens vesting each quarter. The vesting schedule would be as follows:

Immediately receives 1 coin

Vesting period 1 passes, 25 coins vest

During vesting period 2, 5 coins are transfered and 5 coins are delegated

Vesting period 2 passes, 25 coins vest

## # Glossary

- OriginalVesting: The amount of coins (per denomination) that are initially part of a vesting account. These coins are set at genesis.
- StartTime: The BFT time at which a vesting account starts to vest.
- EndTime: The BFT time at which a vesting account is fully vested.
- DelegatedFree: The tracked amount of coins (per denomination) that are delegated from a vesting account that have been fully vested at time of delegation.
- DelegatedVesting: The tracked amount of coins (per denomination) that are delegated from a vesting account that were vesting at time of delegation.
- ContinuousVestingAccount: A vesting account implementation that vests coins linearly over time.
- DelayedVestingAccount: A vesting account implementation that only fully vests all coins at a given time.
- PeriodicVestingAccount: A vesting account implementation that vests coins according to a custom vesting schedule.