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margins_calculation.go
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/
margins_calculation.go
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// Copyright (C) 2023 Gobalsky Labs Limited
//
// This program is free software: you can redistribute it and/or modify
// it under the terms of the GNU Affero General Public License as
// published by the Free Software Foundation, either version 3 of the
// License, or (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Affero General Public License for more details.
//
// You should have received a copy of the GNU Affero General Public License
// along with this program. If not, see <http://www.gnu.org/licenses/>.
package risk
import (
"sort"
"code.vegaprotocol.io/vega/core/events"
"code.vegaprotocol.io/vega/core/types"
"code.vegaprotocol.io/vega/libs/num"
)
var (
exp = num.UintZero().Exp(num.NewUint(10), num.NewUint(5))
expDec = num.DecimalFromUint(exp)
)
type scalingFactorsUint struct {
search *num.Uint
initial *num.Uint
release *num.Uint
}
func scalingFactorsUintFromDecimals(sf *types.ScalingFactors) *scalingFactorsUint {
search, _ := num.UintFromDecimal(sf.SearchLevel.Mul(expDec))
initial, _ := num.UintFromDecimal(sf.InitialMargin.Mul(expDec))
release, _ := num.UintFromDecimal(sf.CollateralRelease.Mul(expDec))
return &scalingFactorsUint{
search: search,
initial: initial,
release: release,
}
}
func newMarginLevels(maintenance num.Decimal, scalingFactors *scalingFactorsUint) *types.MarginLevels {
umaintenance, _ := num.UintFromDecimal(maintenance.Ceil())
return &types.MarginLevels{
MaintenanceMargin: umaintenance,
SearchLevel: num.UintZero().Div(num.UintZero().Mul(scalingFactors.search, umaintenance), exp),
InitialMargin: num.UintZero().Div(num.UintZero().Mul(scalingFactors.initial, umaintenance), exp),
CollateralReleaseLevel: num.UintZero().Div(num.UintZero().Mul(scalingFactors.release, umaintenance), exp),
OrderMargin: num.UintZero(),
MarginMode: types.MarginModeCrossMargin,
MarginFactor: num.DecimalZero(),
}
}
// Implementation of the margin calculator per specs:
// https://github.com/vegaprotocol/product/blob/master/specs/0019-margin-calculator.md
func (e *Engine) calculateMargins(m events.Margin, markPrice *num.Uint, rf types.RiskFactor, withPotentialBuyAndSell, auction bool, inc num.Decimal) *types.MarginLevels {
var (
marginMaintenanceLng num.Decimal
marginMaintenanceSht num.Decimal
)
// convert volumn to a decimal number from a * 10^pdp
openVolume := num.DecimalFromInt64(m.Size()).Div(e.positionFactor)
var (
riskiestLng = openVolume
riskiestSht = openVolume
)
if withPotentialBuyAndSell {
// calculate both long and short riskiest positions
riskiestLng = riskiestLng.Add(num.DecimalFromInt64(m.Buy()).Div(e.positionFactor))
riskiestSht = riskiestSht.Sub(num.DecimalFromInt64(m.Sell()).Div(e.positionFactor))
}
// the party has no open positions that we need to calculate margin for
if riskiestLng.IsZero() && riskiestSht.IsZero() {
return &types.MarginLevels{
MaintenanceMargin: num.UintZero(),
SearchLevel: num.UintZero(),
InitialMargin: num.UintZero(),
CollateralReleaseLevel: num.UintZero(),
OrderMargin: num.UintZero(),
MarginMode: types.MarginModeCrossMargin,
MarginFactor: num.DecimalZero(),
}
}
mPriceDec := markPrice.ToDecimal()
// calculate margin maintenance long only if riskiest is > 0
// marginMaintenanceLng will be 0 by default
if riskiestLng.IsPositive() {
slippageVolume := num.MaxD(openVolume, num.DecimalZero())
minV := mPriceDec.Mul(e.linearSlippageFactor.Mul(slippageVolume).Add(e.quadraticSlippageFactor.Mul(slippageVolume.Mul(slippageVolume))))
if auction {
marginMaintenanceLng = minV.Add(slippageVolume.Mul(mPriceDec.Mul(rf.Long)))
if withPotentialBuyAndSell {
maintenanceMarginLongOpenOrders := m.BuySumProduct().ToDecimal().Div(e.positionFactor).Mul(rf.Long)
marginMaintenanceLng = marginMaintenanceLng.Add(maintenanceMarginLongOpenOrders)
}
} else {
// maintenance_margin_long_open_position =
// max(
// 0,
// mark_price * (slippage_volume * market.maxSlippageFraction[1] + slippage_volume^2 * market.maxSlippageFraction[2])
// ) + slippage_volume * [ quantitative_model.risk_factors_long ] . [ Product.value(market_observable) ]
//
// maintenance_margin_long_open_orders = buy_orders * [ quantitative_model.risk_factors_long ] . [ Product.value(market_observable) ]
marginMaintenanceLng = num.MaxD(
num.DecimalZero(),
minV,
).Add(slippageVolume.Mul(rf.Long).Mul(mPriceDec))
if withPotentialBuyAndSell {
bDec := num.DecimalFromInt64(m.Buy()).Div(e.positionFactor)
maintenanceMarginLongOpenOrders := bDec.Mul(rf.Long).Mul(mPriceDec)
marginMaintenanceLng = marginMaintenanceLng.Add(maintenanceMarginLongOpenOrders)
}
}
}
// calculate margin maintenance short only if riskiest is < 0
// marginMaintenanceSht will be 0 by default
if riskiestSht.IsNegative() {
absSlippageVolume := num.MinD(openVolume, num.DecimalZero()).Abs()
linearSlippage := absSlippageVolume.Mul(e.linearSlippageFactor)
quadraticSlipage := absSlippageVolume.Mul(absSlippageVolume).Mul(e.quadraticSlippageFactor)
minV := mPriceDec.Mul(linearSlippage.Add(quadraticSlipage))
if auction {
marginMaintenanceSht = minV.Add(absSlippageVolume.Mul(mPriceDec.Mul(rf.Short)))
if withPotentialBuyAndSell {
maintenanceMarginShortOpenOrders := m.SellSumProduct().ToDecimal().Div(e.positionFactor).Mul(rf.Short)
marginMaintenanceSht = marginMaintenanceSht.Add(maintenanceMarginShortOpenOrders)
}
} else {
// maintenance_margin_short_open_position =
// max(
// 0,
// mark_price * market.maxSlippageFraction[1] + abs(slippage_volume)^2 * market.maxSlippageFraction[2])
// ) + abs(slippage_volume) * [ quantitative_model.risk_factors_short ] . [ Product.value(market_observable) ]
//
// maintenance_margin_short_open_orders = abs(sell_orders) * [ quantitative_model.risk_factors_short ] . [ Product.value(market_observable) ]
marginMaintenanceSht = num.MaxD(
num.DecimalZero(),
minV,
).Add(absSlippageVolume.Mul(mPriceDec).Mul(rf.Short))
if withPotentialBuyAndSell {
sDec := num.DecimalFromInt64(m.Sell()).Div(e.positionFactor)
maintenanceMarginShortOpenOrders := sDec.Abs().Mul(mPriceDec).Mul(rf.Short)
marginMaintenanceSht = marginMaintenanceSht.Add(maintenanceMarginShortOpenOrders)
}
}
}
if !inc.IsZero() && !openVolume.IsZero() {
// openVolume and inc are signed, but this is fine, we only apply the positive values
incD := num.MaxD(num.DecimalZero(), inc.Mul(openVolume))
marginMaintenanceLng = marginMaintenanceLng.Add(incD)
marginMaintenanceSht = marginMaintenanceSht.Add(incD)
}
// the greatest liability is the most positive number
if marginMaintenanceLng.GreaterThan(marginMaintenanceSht) && marginMaintenanceLng.IsPositive() {
return newMarginLevels(marginMaintenanceLng, e.scalingFactorsUint)
}
if marginMaintenanceSht.IsPositive() {
return newMarginLevels(marginMaintenanceSht, e.scalingFactorsUint)
}
return &types.MarginLevels{
MaintenanceMargin: num.UintZero(),
SearchLevel: num.UintZero(),
InitialMargin: num.UintZero(),
CollateralReleaseLevel: num.UintZero(),
OrderMargin: num.UintZero(),
MarginMode: types.MarginModeCrossMargin,
MarginFactor: num.DecimalZero(),
}
}
func CalculateMaintenanceMarginWithSlippageFactors(sizePosition int64, buyOrders, sellOrders []*OrderInfo, marketObservable, positionFactor, linearSlippageFactor, quadraticSlippageFactor, riskFactorLong, riskFactorShort, fundingPaymntPerUnitPosition num.Decimal, auction bool) num.Decimal {
buySumProduct, sellSumProduct := num.DecimalZero(), num.DecimalZero()
sizeSells, sizeBuys := int64(0), int64(0)
for _, o := range buyOrders {
size := int64(o.TrueRemaining)
if o.IsMarketOrder {
// assume market order fills
sizePosition += size
} else {
buySumProduct = buySumProduct.Add(num.DecimalFromInt64(size).Mul(o.Price))
sizeBuys += size
}
}
for _, o := range sellOrders {
size := int64(o.TrueRemaining)
if o.IsMarketOrder {
// assume market order fills
sizePosition -= size
} else {
sellSumProduct = sellSumProduct.Add(num.DecimalFromInt64(size).Mul(o.Price))
sizeSells += size
}
}
return computeMaintenanceMargin(sizePosition, sizeBuys, sizeSells, buySumProduct, sellSumProduct, marketObservable, positionFactor, linearSlippageFactor, quadraticSlippageFactor, riskFactorLong, riskFactorShort, fundingPaymntPerUnitPosition, auction)
}
func calculateSlippageFactor(slippageVolume, linearSlippageFactor, quadraticSlippageFactor num.Decimal) num.Decimal {
return linearSlippageFactor.Mul(slippageVolume.Abs()).Add(quadraticSlippageFactor.Mul(slippageVolume.Mul(slippageVolume)))
}
func computeMaintenanceMargin(sizePosition, buySize, sellSize int64, buySumProduct, sellSumProduct, marketObservable, positionFactor, linearSlippageFactor, quadraticSlippageFactor, riskFactorLong, riskFactorShort, fundingPaymntPerUnitPosition num.Decimal, auction bool) num.Decimal {
var (
marginMaintenanceLng num.Decimal
marginMaintenanceSht num.Decimal
)
// convert volumn to a decimal number from a * 10^pdp
openVolume := num.DecimalFromInt64(sizePosition).Div(positionFactor)
// calculate both long and short riskiest positions
var (
riskiestLng = openVolume.Add(num.DecimalFromInt64(buySize).Div(positionFactor))
riskiestSht = openVolume.Sub(num.DecimalFromInt64(sellSize).Div(positionFactor))
)
// calculate margin maintenance long only if riskiest is > 0
// marginMaintenanceLng will be 0 by default
if riskiestLng.IsPositive() {
slippageVolume := num.MaxD(openVolume, num.DecimalZero())
slippageCap := marketObservable.Mul(calculateSlippageFactor(slippageVolume, linearSlippageFactor, quadraticSlippageFactor))
if auction {
marginMaintenanceLng = slippageCap.Add(slippageVolume.Mul(marketObservable.Mul(riskFactorLong)))
maintenanceMarginLongOpenOrders := buySumProduct.Div(positionFactor).Mul(riskFactorLong)
marginMaintenanceLng = marginMaintenanceLng.Add(maintenanceMarginLongOpenOrders)
} else {
marginMaintenanceLng = num.MaxD(
num.DecimalZero(),
slippageCap,
).Add(slippageVolume.Mul(riskFactorLong).Mul(marketObservable))
if buySize > 0 {
maintenanceMarginLongOpenOrders := num.DecimalFromInt64(buySize).Div(positionFactor).Mul(riskFactorLong).Mul(marketObservable)
marginMaintenanceLng = marginMaintenanceLng.Add(maintenanceMarginLongOpenOrders)
}
}
}
// calculate margin maintenance short only if riskiest is < 0
// marginMaintenanceSht will be 0 by default
if riskiestSht.IsNegative() {
slippageVolume := num.MinD(openVolume, num.DecimalZero())
absSlippageVolume := slippageVolume.Abs()
slippageCap := marketObservable.Mul(calculateSlippageFactor(slippageVolume, linearSlippageFactor, quadraticSlippageFactor))
if auction {
marginMaintenanceSht = slippageCap.Add(absSlippageVolume.Mul(marketObservable.Mul(riskFactorShort)))
maintenanceMarginShortOpenOrders := sellSumProduct.Div(positionFactor).Mul(riskFactorShort)
marginMaintenanceSht = marginMaintenanceSht.Add(maintenanceMarginShortOpenOrders)
} else {
marginMaintenanceSht = num.MaxD(
num.DecimalZero(),
slippageCap,
).Add(absSlippageVolume.Mul(marketObservable).Mul(riskFactorShort))
if sellSize > 0 {
maintenanceMarginShortOpenOrders := num.DecimalFromInt64(sellSize).Div(positionFactor).Abs().Mul(marketObservable).Mul(riskFactorShort)
marginMaintenanceSht = marginMaintenanceSht.Add(maintenanceMarginShortOpenOrders)
}
}
}
if !fundingPaymntPerUnitPosition.IsZero() && !openVolume.IsZero() {
// calculate margin increase based on position
// incD = max(0, inc * open volume)
incD := num.MaxD(num.DecimalZero(), fundingPaymntPerUnitPosition.Mul(openVolume))
marginMaintenanceLng = marginMaintenanceLng.Add(incD)
marginMaintenanceSht = marginMaintenanceSht.Add(incD)
}
// the greatest liability is the most positive number
if marginMaintenanceLng.GreaterThan(marginMaintenanceSht) && marginMaintenanceLng.IsPositive() {
return marginMaintenanceLng
}
if marginMaintenanceSht.IsPositive() {
return marginMaintenanceSht
}
return num.DecimalZero()
}
// CalcOrderMarginIsolatedMode calculates the the order margin required for the party in isolated margin mode given their current orders and margin factor.
func CalcOrderMarginIsolatedMode(positionSize int64, buyOrders, sellOrders []*OrderInfo, positionFactor, marginFactor, auctionPrice num.Decimal) num.Decimal {
// sort orders from best to worst
sort.Slice(buyOrders, func(i, j int) bool { return buyOrders[i].Price.GreaterThan(buyOrders[j].Price) })
sort.Slice(sellOrders, func(i, j int) bool { return sellOrders[i].Price.LessThan(sellOrders[j].Price) })
// calc the side margin
marginByBuy := calcOrderSideMarginIsolatedMode(positionSize, buyOrders, positionFactor, marginFactor, auctionPrice, true)
marginBySell := calcOrderSideMarginIsolatedMode(positionSize, sellOrders, positionFactor, marginFactor, auctionPrice, false)
if marginBySell.GreaterThan(marginByBuy) {
return marginBySell
}
return marginByBuy
}
func calcOrderSideMarginIsolatedMode(currentPosition int64, orders []*OrderInfo, positionFactor, marginFactor num.Decimal, auctionPrice num.Decimal, buy bool) num.Decimal {
for _, o := range orders {
if o.IsMarketOrder {
// assume market order fills
if buy {
currentPosition += int64(o.TrueRemaining)
} else {
currentPosition -= int64(o.TrueRemaining)
}
}
}
margin := num.DecimalZero()
remainingCovered := int64Abs(currentPosition)
for _, o := range orders {
size := o.TrueRemaining
// for long position we don't need to count margin for the top <currentPosition> size for sell orders
// for short position we don't need to count margin for the top <currentPosition> size for buy orders
if remainingCovered != 0 && (buy && currentPosition < 0) || (!buy && currentPosition > 0) {
if size >= remainingCovered { // part of the order doesn't require margin
size = size - remainingCovered
remainingCovered = 0
} else { // the entire order doesn't require margin
remainingCovered -= size
size = 0
}
}
if size > 0 {
// if we're in auction we need to use the larger between auction price (which is the max(indicativePrice, markPrice)) and the order price
p := o.Price
if auctionPrice.GreaterThan(p) {
p = auctionPrice
}
// add the margin for the given order
margin = margin.Add(num.DecimalFromInt64(int64(size)).Mul(p))
}
}
// factor the margin by margin factor and divide by position factor to get to the right decimals
return margin.Mul(marginFactor).Div(positionFactor)
}
func CalculateRequiredMarginInIsolatedMode(sizePosition int64, averageEntryPrice, marketObservable num.Decimal, buyOrders, sellOrders []*OrderInfo, positionFactor, marginFactor num.Decimal) (num.Decimal, num.Decimal) {
totalOrderNotional := num.DecimalZero()
marketOrderAdjustedPositionNotional := averageEntryPrice.Copy().Mul(num.DecimalFromInt64(sizePosition))
// assume market orders fill immediately at marketObservable price
for _, o := range buyOrders {
if o.IsMarketOrder {
marketOrderAdjustedPositionNotional = marketOrderAdjustedPositionNotional.Add(marketObservable.Mul(num.DecimalFromInt64(int64(o.TrueRemaining))))
} else {
totalOrderNotional = totalOrderNotional.Add(o.Price.Mul(num.DecimalFromInt64(int64(o.TrueRemaining))))
}
}
for _, o := range sellOrders {
if o.IsMarketOrder {
marketOrderAdjustedPositionNotional = marketOrderAdjustedPositionNotional.Sub(marketObservable.Mul(num.DecimalFromInt64(int64(o.TrueRemaining))))
} else {
totalOrderNotional = totalOrderNotional.Add(o.Price.Mul(num.DecimalFromInt64(int64(o.TrueRemaining))))
}
}
requiredPositionMargin := marketOrderAdjustedPositionNotional.Abs().Mul(marginFactor).Div(positionFactor)
requiredOrderMargin := totalOrderNotional.Mul(marginFactor).Div(positionFactor)
return requiredPositionMargin, requiredOrderMargin
}