The futures price of gold is $ 1 , 2 5 0 . Futures contracts are for 1 0 0 ounces of gold, and the margin requirement is $ 5 , 0 0 0 a contract. The maintenance margin requirement is $ 1 , 5 0 0 . You expect the price of gold to rise and enter into a contract to buy gold. give step by step solution
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The futures price of gold is $ 1 , 2 5 0 . Futures contracts are for 1 0 0 ounces of gold, and the margin requirement is $ 5 , 0 0 0 a contract. The maintenance margin requirement is $ 1 , 5 0 0 . You expect the price of gold to rise and enter into a contract to buy gold. give step by step solution
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Asked by: Tushar Choudhary
Created at: 2025-06-03 04:52:30
Asked by: Tushar Choudhary
Created at: 2025-06-03 04:52:30
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Let's break down the scenario step by step:
### **Given:**
- **Futures Price of Gold** = $1,250 per ounce
- **Futures Contract Size** = 100 ounces
- **Initial Margin Requirement** = $5,000 per contract
- **Maintenance Margin Requirement** = $1,500 per contract
- **Your Position** = You go **long** (buy) one gold futures contract (expecting price to rise)
---
## **Step 1: Calculate the Total Value of the Futures Contract**
\[
\text{Contract Value} = \text{Futures Price} \times \text{Contract Size}
\]
\[
= \$1,250 \times 100 = \$125,000
\]
---
## **Step 2: Initial Margin Requirement**
You must deposit the **initial margin** to open the position:
\[
\text{Initial Margin Required} = \$5,000
\]
---
## **Step 3: Maintenance Margin**
The **maintenance margin** is the minimum balance that must be maintained in your margin account. For this contract:
\[
\text{Maintenance Margin} = \$1,500
\]
If your margin account falls below this, you'll get a **margin call** and must deposit additional funds to bring it back up to the initial margin.
---
## **Step 4: Mark-to-Market (Daily Settlement)**
Each day, your account is adjusted based on the change in the futures price.
**Example:**
Suppose after you enter the contract, the price moves as follows:
### **Case A: Price Rises to $1,270 per ounce**
- **Gain per ounce:** \$1,270 - \$1,250 = \$20
- **Total Gain:** \$20 × 100 = \$2,000
Your margin account increases by \$2,000.
**New Balance:** \$5,000 + \$2,000 = \$7,000
---
### **Case B: Price Falls to $1,240 per ounce**
- **Loss per ounce:** \$1,240 - \$1,250 = -\$10
- **Total Loss:** -\$10 × 100 = -\$1,000
Your margin account decreases by \$1,000.
**New Balance:** \$5,000 - \$1,000 = \$4,000
---
## **Step 5: What Happens if Margin Falls Below Maintenance Margin?**
If the margin account falls below \$1,500, you will receive a **margin call** to deposit enough funds to restore the account to the **initial margin (\$5,000)**.
### **Example:**
If price falls to $1,195:
- **Loss per ounce:** \$1,195 - \$1,250 = -\$55
- **Total Loss:** -\$55 × 100 = -\$5,500
- **New Margin Account:** \$5,000 - \$5,500 = **-\$500**
You must deposit \$5,500 to restore it to \$5,000.
---
## **Step 6: Closing the Position**
If you close your position (by selling the contract), your profit or loss is:
\[
\text{Profit/Loss} = (\text{Sell Price} - \text{Buy Price}) \times \text{Contract Size}
\]
---
## **Summary Table**
| Gold Price | Gain/Loss per Ounce | Total Gain/Loss | Margin Account Balance |
|------------|--------------------|-----------------|-----------------------|
| $1,270 | +$20 | +$2,000 | $7,000 |
| $1,240 | -$10 | -$1,000 | $4,000 |
| $1,195 | -$55 | -$5,500 | -$500 (Margin Call) |
---
## **Key Points:**
- You control \$125,000 of gold with only \$5,000 margin.
- If price rises, you profit (\$100 per \$1 move in gold).
- If price falls, you lose (\$100 per \$1 move in gold).
- If your margin account drops below \$1,500, you must deposit more funds up to the initial margin.
---
If you have a specific scenario (e.g., price moves to a certain value, or you want to know about margin calls), let me know!
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