# Costs of Opening Positions

### **Cost of Opening a Limit Order**

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1. #### **Calculate the initial margin**

Initial margin

\= Notional Value / Leverage Multiplier

\= (102,990.0\*1 BTC)/20x

\= 5,149.50<br>

2. #### **Calculate open loss**

Open Loss = Number of Contracts × Absolute Value {min \[0, Order Direction × (Mark Price — Order Price)]}

Direction of order: 1 for long order; -1 for short order

**Open loss of long orders:**

\= Number of Contract \* Absolute Value {min\[0, Direction of order \* (Mark price — Order Price)]}

\= 1 \* Absolute Value {min\[0, 1 \* (102,988.4- 102,990.0)]}

\= 1 \* Absolute Value {min\[0, (-1.6)]}

\= 1 \* 1.6

\= 1.6

Open loss occurs when you place a long order.

**Open loss of short orders:**

\= Number of Contract \* Absolute Value {min\[0, Direction of order \* (Mark Price — Order Price)]}

\= 1 \* Absolute Value {min\[0, -1 \* (102,988.4- 102,990.0)]}

\= 1 \* Absolute Value {min\[0, 1.6]}

\= 1 \* 0

\= 0

Open loss does not occur when you place a short order.<br>

3. #### **Calculate the cost of opening a position**

Since there is no open loss when you place a short order, the cost of opening a short order is equal to the initial margin.

**Cost of opening a long order:**

\= 5,149.50+ 1.6

\= 5,151.1

**Cost of opening a short order:**

\= 5,149.50 + 0&#x20;

\= 5,149.50

Since placing a long order results in an open loss, it requires more margin than a short order. In addition to the initial margin, you must also take into account the open loss.

### **Cost of Opening a Market Order**

1. #### **Calculate estimated entry price**

Long order estimated entry price = ask\[0] \* (1 + 0.05%); Short order estimated entry price = max(bid\[0], mark price)<br>

**Estimated entry price of long orders:**

\= ask\[0]\*(1 + 0.05%)

\= 102,946.8\*(1 + 0.05%)

\= 102,998.27

\*\[0]：Level 1 price<br>

**Assuming price of short orders:**

\= max(bid\[0], mark price)

\= max (102,946.9, 102,941.0)

\= 102,946.9

\*\[0]：Level 1 price<br>

2. #### **Calculate the initial margin**

Initial Margin = Notional Value / Leverage Multiplier<br>

* Initial margin for long orders

\= Estimated entry price of long order \* Number of Contracts / Leverage Multiplier

\= 102,998.27 \* 1 /20

\= 5,149.9135<br>

* Initial margin for short orders

\= Estimated entry price of short order \* Number of Contracts / Leverage Multiplier

\= 102,946.9 \* 1/20

\= 5,147.345<br>

3. #### **Calculate the open loss**

Open Loss = Number of Contract \* Absolute Value {min\[0, direction of order \* (mark price — order price)]}

Direction of order: 1 for long order; -1 for short order<br>

**Open loss for long order:**

\= Number of Contract \* Absolute Value {min\[0, direction of order \* (mark price — order price)]}

\= 1 \* Absolute Value {min\[0, 1 \* (102,941.0–102,998.27)]}

\= 1 \* Absolute Value {min\[0, -57.27]}

\= 1 \* 57.27

\= 57.27

An open loss occurs when you place a long order.<br>

**Open loss for short order:**

\= Number of Contract \* Absolute Value {min\[0, direction of order \* (mark price — order price)]}

\= 1 \* Absolute Value {min\[0, -1 \* (102,941.0–102,946.9)]}

\= 1 \* Absolute Value {min\[0, 5.9]}

\= 1 \* 0

\= 0

An open loss does not occur when you place a short order.<br>

4. #### **Cost of Opening a Position**

Since open loss occurs when you place a long order, it costs more to place a long order. In addition to the initial margin, you must also take into account the open loss.

**Cost of opening a long order:**

\= 5,149.9135+57.27

\= 5,207.1835<br>

**Cost of opening a short order:**

\= 5,147.345+0

\= 5,147.345

Since there is no open loss when you place a short order, the cost of opening a short order is equal to the initial margin.
