Both a call and a put currently are traded on stock XYZ; both have strike prices of $40 and expirations of 6 months. a. What will be the profit to an investor who buys the call for $5 in the following scenarios for stock prices in 6 months? (i) $40; (ii) $45; (iii) $50; (iv) $55; (v) $60. (Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round your answers to 1 decimal place.) Stock Price i. $ ii. $ iii. $ iv. $ $ V. 40 45 50 55 60 Profit

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
icon
Related questions
Question
100%
## Stock Options and Profit Calculation

### Call and Put Options for Stock XYZ

Both a call and a put option are currently traded on stock XYZ. Both options have strike prices of $40 and expire in 6 months.

### Problem Statement:

**a.** What will be the profit to an investor who buys the call for $5 in the following scenarios for stock prices in 6 months? 
- (i) $40
- (ii) $45
- (iii) $50
- (iv) $55
- (v) $60 

**Note:** Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round your answers to 1 decimal place.

### Calculation Table:

| Stock Price | Profit |
|-------------|--------|
| i.   $40    |        |
| ii.  $45    |        |
| iii. $50    |        |
| iv.  $55    |        |
| v.   $60    |        |

### Explanation:

For each stock price scenario, we'll calculate the profit for the call option buyer. The formula used to calculate the profit is:

\[ \text{Profit} = \text{Stock Price} - \text{Strike Price} - \text{Premium Paid} \]

Where the premium paid is $5.

- If \( \text{Stock Price} \leq \text{Strike Price} \), the profit is \( -\text{Premium Paid} \).
- If \( \text{Stock Price} > \text{Strike Price} \), the profit is \( \text{Stock Price} - \text{Strike Price} - \text{Premium Paid} \).

Let's fill in the table with the calculated profit values for each scenario.
Transcribed Image Text:## Stock Options and Profit Calculation ### Call and Put Options for Stock XYZ Both a call and a put option are currently traded on stock XYZ. Both options have strike prices of $40 and expire in 6 months. ### Problem Statement: **a.** What will be the profit to an investor who buys the call for $5 in the following scenarios for stock prices in 6 months? - (i) $40 - (ii) $45 - (iii) $50 - (iv) $55 - (v) $60 **Note:** Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round your answers to 1 decimal place. ### Calculation Table: | Stock Price | Profit | |-------------|--------| | i. $40 | | | ii. $45 | | | iii. $50 | | | iv. $55 | | | v. $60 | | ### Explanation: For each stock price scenario, we'll calculate the profit for the call option buyer. The formula used to calculate the profit is: \[ \text{Profit} = \text{Stock Price} - \text{Strike Price} - \text{Premium Paid} \] Where the premium paid is $5. - If \( \text{Stock Price} \leq \text{Strike Price} \), the profit is \( -\text{Premium Paid} \). - If \( \text{Stock Price} > \text{Strike Price} \), the profit is \( \text{Stock Price} - \text{Strike Price} - \text{Premium Paid} \). Let's fill in the table with the calculated profit values for each scenario.
### Profit Calculation for Put Option

**Scenario:** An investor buys a put for $7.50. Below are the different stock prices in 6 months and the respective profits:

#### Question:
What will be the profit to an investor who buys the put for $7.50 in the following scenarios for stock prices in 6 months? 
1. $40
2. $45
3. $50
4. $55
5. $60

**Instructions:**
- Leave no cells blank – be certain to enter "0" wherever required.
- Negative amounts should be indicated by a minus sign.
- Round your answers to 1 decimal place.

#### Profit Calculation Table:

| Stock Price | Profit |
|-------------|--------|
| $40         |        |
| $45         |        |
| $50         |        |
| $55         |        |
| $60         |        |

**Explanations:**

1. **Stock Price $40:**
   * Put option profit calculation: [Maximum of (Strike Price - Stock Price - Put Premium), 0]
   * Assume the strike price is $50.
   * Profit = Max[(50 - 40 - 7.5), 0] = Max[(2.5), 0] = $2.5

2. **Stock Price $45:**
   * Profit = Max[(50 - 45 - 7.5), 0] = Max[(-2.5), 0] = $0.0

3. **Stock Price $50:**
   * Profit = Max[(50 - 50 - 7.5), 0] = Max[(-7.5), 0] = $0.0

4. **Stock Price $55:**
   * Profit = Max[(50 - 55 - 7.5), 0] = Max[(-12.5), 0] = $0.0

5. **Stock Price $60:**
   * Profit = Max[(50 - 60 - 7.5), 0] = Max[(-17.5), 0] = $0.0

Please fill in the calculated profits in the table accordingly:

| Stock Price | Profit |
|-------------|--------|
| $40         | 2.5    |
| $45         | 0.0    |
| $50         | 0
Transcribed Image Text:### Profit Calculation for Put Option **Scenario:** An investor buys a put for $7.50. Below are the different stock prices in 6 months and the respective profits: #### Question: What will be the profit to an investor who buys the put for $7.50 in the following scenarios for stock prices in 6 months? 1. $40 2. $45 3. $50 4. $55 5. $60 **Instructions:** - Leave no cells blank – be certain to enter "0" wherever required. - Negative amounts should be indicated by a minus sign. - Round your answers to 1 decimal place. #### Profit Calculation Table: | Stock Price | Profit | |-------------|--------| | $40 | | | $45 | | | $50 | | | $55 | | | $60 | | **Explanations:** 1. **Stock Price $40:** * Put option profit calculation: [Maximum of (Strike Price - Stock Price - Put Premium), 0] * Assume the strike price is $50. * Profit = Max[(50 - 40 - 7.5), 0] = Max[(2.5), 0] = $2.5 2. **Stock Price $45:** * Profit = Max[(50 - 45 - 7.5), 0] = Max[(-2.5), 0] = $0.0 3. **Stock Price $50:** * Profit = Max[(50 - 50 - 7.5), 0] = Max[(-7.5), 0] = $0.0 4. **Stock Price $55:** * Profit = Max[(50 - 55 - 7.5), 0] = Max[(-12.5), 0] = $0.0 5. **Stock Price $60:** * Profit = Max[(50 - 60 - 7.5), 0] = Max[(-17.5), 0] = $0.0 Please fill in the calculated profits in the table accordingly: | Stock Price | Profit | |-------------|--------| | $40 | 2.5 | | $45 | 0.0 | | $50 | 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Options
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education