Multi-positions bankruptcy price calculation

bankruptcy Price:
​
The bankruptcy price of the Ith  I^{\text {th}}\;Ith
contract(PiC)(P_i^C)(PiC​)
:
Pic=Pi−[BI+∑k=1nSk∗(Pk−Pko)]∗dir⁡i∗Mi∗Pi∑k=1ndir⁡k∗Sk∗Mk∗Pk1−dir⁡i∗ FeeRate P_{i}^{c}=\frac{P_{i}-\left[B I+\sum_{k=1}^{n} S_{k} *\left(P_{k}-P_{k}^{o}\right)\right] * \frac{\operatorname{dir}_{i} * M_{i} * P_{i}}{\sum_{k=1}^{n} \operatorname{dir}_{k} * S_{k^{*} M_{k} * P_{k}}}}{1-\operatorname{dir}_{i} * \text { FeeRate }}Pic​=1−diri​∗ FeeRate Pi​−[BI+∑k=1n​Sk​∗(Pk​−Pko​)]∗∑k=1n​dirk​∗Sk∗Mk​∗Pk​​diri​∗Mi​∗Pi​​​
​
Variables:
​BIBIBI
: Static account equity
​Pi:P_i:Pi​:
Current oracle price of the Ith  I^{\text {th}}\;Ith
contract
​PiC:P_i^C:PiC​:
The bankruptcy price of the Ith  I^{\text {th}}\;Ith
contract
​Pi0P_i^0Pi0​
: The opening price of the Ith  I^{\text {th}}\;Ith
contract
​Si:S_i: Si​:
The number of open positions of the Ith  I^{\text {th}}\;Ith
contract, positive for long positions and negative for short positions.
​diri:dir_i: diri​:
The opening direction of the Ith  I^{\text {th}}\;Ith
contract, +1 for long positions and -1 for short positions
​Mi:M_i:Mi​:
Maintenance margin rate of the Ith  I^{\text {th}}\;Ith
contract
Example:
Initial account balance BI=1000BI = 1000BI=1000
USDC, Trading Fee = 0.3%
Contract Type
Open Positions
Opening Price
Current Price
Maintenance Margin
PNL
ETH
4
1100
1000
200(5%)
-400
BTC
2
2200
2000
400(10%)
-400
AVA
-3
2100
2000
300(5%)
300
ETH bankruptcy Price:
1000−[1000+(−400−400+300)]∗0.05∗1000200+400+3001−0.003=975.15\frac{1000-[1000+(-400-400+300) ] * \frac{0.05 * 1000}{200+400+300
}}{1-0.003}=975.151−0.0031000−[1000+(−400−400+300)]∗200+400+3000.05∗1000​​=975.15
BTC bankruptcy Price:
2000−[1000+(−400−400+300)]∗0.1∗2000200+400+3001−0.003=1894.57\frac{2000-[1000+(-400-400+300) ] * \frac{0.1 * 2000}{200+400+300
}}{1-0.003}=1894.571−0.0032000−[1000+(−400−400+300)]∗200+400+3000.1∗2000​​=1894.57
AVA bankruptcy Price:
2000−[1000+(−400−400+300)]∗−1∗0.05∗2000200+400+3001+0.003=2049.40\frac{2000-[1000+(-400-400+300) ] * \frac{-1*0.05 *2000}{200+400+300
}}{1+0.003}=2049.401+0.0032000−[1000+(−400−400+300)]∗200+400+300−1∗0.05∗2000​​=2049.40
ETH PNL: (975.15−1100)∗4−975.15∗4∗0.003=−511.1018(975.15-1100)*4-975.15*4*0.003=-511.1018(975.15−1100)∗4−975.15∗4∗0.003=−511.1018
​
BTC PNL: (1894.57−2200)∗2−1894.57∗2∗0.003=−622.23(1894.57-2200)*2-1894.57*2*0.003=-622.23(1894.57−2200)∗2−1894.57∗2∗0.003=−622.23
​
AVA PNL: (2049.40−2100)∗−3−2049.40∗3∗0.003=133.354(2049.40-2100)*-3-2049.40*3*0.003=133.354(2049.40−2100)∗−3−2049.40∗3∗0.003=133.354
​

Contract Type	Open Positions	Opening Price	Current Price	Maintenance Margin	PNL
ETH	4	1100	1000	200(5%)	-400
BTC	2	2200	2000	400(10%)	-400
AVA	-3	2100	2000	300(5%)	300

Multi-position liquidation price calculation

Funding Calculation

Last modified 9mo ago