Skip to content

ROI.md

Latest commit

 

History

History
168 lines (143 loc) · 3.98 KB

ROI.md

File metadata and controls

168 lines (143 loc) · 3.98 KB

ROI

LP_TOKEN

mint

if (_totalSupply == 0) {
    liquidity = Math.sqrt(amount0.mul(amount1)).sub(MINIMUM_LIQUIDITY);
    _mint(address(0), MINIMUM_LIQUIDITY);
} else {
    liquidity = Math.min(amount0.mul(_totalSupply) / _reserve0, amount1.mul(_totalSupply) / _reserve1);
}

burn

uint _totalSupply = totalSupply; // gas savings, must be defined here since totalSupply can update in _mintFee
amount0 = liquidity.mul(balance0) / _totalSupply;
amount1 = liquidity.mul(balance1) / _totalSupply;

  1. Pool Status before adding liquidity:
    LP: 33.89
    GOLD: 26.282
    RING: 43.7387
    Price: 1:1.6642

  2. Add 1 GOLD + 1.6642 RING to Pool.
    Return LP: 1.29

  3. Pool Status after adding liquidity:
    LP: 35.18
    GOLD: 27.282
    RING: 45.4029
    Price: 1:1.6642

  • Supply = 0

  • Supply > 0

Land Base

uint256 resourceRateAttr
[00 i^2...i^32]
uint16 gold_rate = i = [31, 32]
uint16 wood_rate = i = [29, 30]
uint16 water_rate = i = [27, 28]
uint16 fire_rate = i = [25, 26]
uint16 soil_rate = i = [23, 24]

resource will decrease 1/10000 every day.
startTime = 1544083267 | 2018/12/6 16:1:7
remainDays = (now - startTime) / 86400
minableBalance = rate * (1 - remainDays/10000)

Per Apostle BaseStrength: 1.1778 fire, 1.2816 wood, 1.1649 gold, 1.2042 water, 1.2815 soil (1.2151 avg)

Add liquidity Formula:   

LP_GOLD_RING 
gold_liquidity_pool: r0 
ring_liquidity_pool: r1 
ring_price: p1 = r0 / r1

k = r0 * r1 
p1 = r0 / r1
r1 = sqrt(k / p1)
r0 = sqrt(k * p1)

apostle_strength: x  
drill_strength: y%

ROI of enhancing drill by GOLD (static)

Note: neglecting fees and cost of drill.

Cost of GOLD: a0
yield of GOLD: x * y%
Daily ROI of GOLD: x * y% / a0  
                =  1.1649 * (y% / a0)

if y = 3, a0 = 100
Daily ROI of GOLD: 0.0349%
Weekly ROI of GOLD: 0.0349% * 7 = 0.2446%
Yearly ROI of GOLD: 0.0349% * 365 = 12.755%

if y = 12, a0 = 200
Daily ROI of GOLD: 0.069894%
Weekly ROI of GOLD: 0.069894% * 7 = 0.489258%
Yearly ROI of GOLD: 0.0396066% * 365 = 25.51131%

ROI of enhancing drill by LP_GOLD and LP_RING/LP_KTON (dynamic)

Note: neglecting fees, cost of drill and impermanent lose.

LP_GOLD_RING 
liquiduty0: l0
cost_gold: a0
cost_ring: a1

LP_RING_ETH
liquiduty1: l1
cost_ring: a2
cost_eth: a3

price_gold_ring: p0 = a1 / a0
price_eth_ring: p1 = a2 / a3
   
Cost of RING: a0 * p0 + a1 + a2 + a3 * p1
yield of RING: x * y% * p0
Daily ROI in RING: x * y% * p0 / (a0 * p0 + a1 + a2 + a3 * p1) 
                =  x * y% * p0 / (2 * (a1 + a2) 
                =  0.58245 * y% * p0 / (a1 + a2)

if only LP_GOLD_RING init with 1 : 1
y = 6, l0 = 50, a0 = a1 = 50, a2 = a3 = 0
then p0 = 1, p1 = 1,
Daily ROI of RING: 0.07%
Weekly ROI of RING: 0.489%
Yearly ROI of RING: 25.51131%

if price change:
y = 6, l0 = 50, p0 = 1.2
then a0 = 45.64, a1 = 54.77
Daily ROI of RING: 0.076%
Weekly ROI of RING: 0.535%
Yearly ROI of RING: 27.947%

if LP_GOLD_RING and LP_RING_ETH all init with 1 : 1
y = 6, l0= l1 = 50, a0 = a1 = 50, a2 = a3 = 50
then p0 = 1, p1 = 1,
Daily ROI of RING: 0.035%
Weekly ROI of RING: 0.244%
Yearly ROI of RING: 12.75%

if price change:
y = 6, l1 = l2 = 50, p0 = 1.2, p1 = 0.5
then a0 = 45.64, a1 = 54.77, a2 = 35.355, a3 = 70.71
Daily ROI of RING: 0.0465%
Weekly ROI of RING: 0.326%
Yearly ROI of RING: 16.975%

if price change: y = 6, l1 = l2 = 50, p0 = 0.6, p1 = 4
then a0 = 64.55, a1 = 38.73, a2 = 100, a3 = 25
Daily ROI of RING: 0.015%
Weekly ROI of RING: 0.105%
Yearly ROI of RING: 5.516%