You write a put option contract at a strike price of $1.25/option; you are short in options expire in 3 months at a strike price of $30/security. What is your net gain or loss if at- expiration, the underlying security is trading at $27.25/security?
You write a put option contract at a strike price of $1.25/option; you are short in options expire in 3 months at a strike price of $30/security. What is your net gain or loss if at- expiration, the underlying security is trading at $27.25/security?
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
11
![**Scenario: Options Trading**
You write a put option contract at a premium of $1.25 per option, meaning you are short in the put. The options expire in 3 months with a strike price of $30 per security. At expiration, the underlying security is trading at $27.25 per security.
**Question:**
What is your net gain or loss in this scenario?
---
### Explanation:
1. **Initial Setup:**
- **Option Premium (Income):** $1.25
- **Strike Price:** $30.00
- **Market Price at Expiration:** $27.25
2. **Calculation of Outcome:**
- **Intrinsic Value of the Put:** (Strike Price - Market Price) = $30.00 - $27.25 = $2.75
- Since the market price is less than the strike price, the option will be exercised.
3. **Net Gain/Loss Calculation:**
- **Loss from Option Exercise:** Intrinsic Value - Option Premium = $2.75 - $1.25 = $1.50 loss per option
Therefore, your net loss is $1.50 per option.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff96beba6-2919-4d0e-b7ed-499fbd5790bd%2F6ba4823e-29a7-4857-8d7d-534a3d86abf8%2Faz78t8a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Scenario: Options Trading**
You write a put option contract at a premium of $1.25 per option, meaning you are short in the put. The options expire in 3 months with a strike price of $30 per security. At expiration, the underlying security is trading at $27.25 per security.
**Question:**
What is your net gain or loss in this scenario?
---
### Explanation:
1. **Initial Setup:**
- **Option Premium (Income):** $1.25
- **Strike Price:** $30.00
- **Market Price at Expiration:** $27.25
2. **Calculation of Outcome:**
- **Intrinsic Value of the Put:** (Strike Price - Market Price) = $30.00 - $27.25 = $2.75
- Since the market price is less than the strike price, the option will be exercised.
3. **Net Gain/Loss Calculation:**
- **Loss from Option Exercise:** Intrinsic Value - Option Premium = $2.75 - $1.25 = $1.50 loss per option
Therefore, your net loss is $1.50 per option.
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