Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock's current price, so, is $100, and a call option expiring in one year has an exercise price, X, of $100 and is selling at a price, C, of $23. With $23,000 to invest, you are considering three alternatives. a. Invest all $23,000 in the stock, buying 230 shares. b. Invest all $23,000 in 1,000 options (10 contracts). c. Buy 100 options (one contract) for $2,300, and invest the remaining $20,700 in a money market fund paying 5% in interest over 6 months (10% per year). What is your rate of return for each alternative for the following four stock prices in 6 months? (Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places.) The total value of your portfolio in six months for each of the following stock prices is: Stock Price All stocks (230 shares) All options (1,000 options) Bills + 100 options $ Price of Stock 6 Months from Now 100 $ 110 80 $ $ 120

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
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**Stock Investment Analysis for Future Portfolio Evaluation**

Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock's current price, \( s_0 \), is $100, and a call option expiring in one year has an exercise price, \( X \), of $100 and is selling at a price, \( C \), of $23. With $23,000 to invest, you are considering three alternatives:

a. Invest all $23,000 in the stock, buying 230 shares.  
b. Invest all $23,000 in 1,000 options (10 contracts).  
c. Buy 100 options (one contract) for $2,300, and invest the remaining $20,700 in a money market fund paying 5% in interest over 6 months (10% per year).

**Hypothesis:**
What is your rate of return for each alternative for the following four stock prices in 6 months?  
*(Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places.)*

The total value of your portfolio in six months for each of the following stock prices is:

| Price of Stock 6 Months from Now | $80 | $100 | $110 | $120 |
|----------------------------------|-----|------|------|------|
| Stock Price                      | $80 | $100 | $110 | $120 |
| **All stocks (230 shares)**      |     |      |      |      |
| **All options (1,000 options)**  |     |      |      |      |
| **Bills + 100 options**          |     |      |      |      |


**Table Explanation:**
- **Stock Price:** The anticipated stock price of AppX after six months.
- **All stocks (230 shares):** The total value of all 230 shares purchased at the respective stock price.
- **All options (1,000 options):** The value of all 1,000 call options purchased at the respective stock price.
- **Bills + 100 options:** The value of the portfolio comprising 100 call options and the investment in money market fund (bills) at the respective stock price.
Transcribed Image Text:**Stock Investment Analysis for Future Portfolio Evaluation** Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock's current price, \( s_0 \), is $100, and a call option expiring in one year has an exercise price, \( X \), of $100 and is selling at a price, \( C \), of $23. With $23,000 to invest, you are considering three alternatives: a. Invest all $23,000 in the stock, buying 230 shares. b. Invest all $23,000 in 1,000 options (10 contracts). c. Buy 100 options (one contract) for $2,300, and invest the remaining $20,700 in a money market fund paying 5% in interest over 6 months (10% per year). **Hypothesis:** What is your rate of return for each alternative for the following four stock prices in 6 months? *(Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places.)* The total value of your portfolio in six months for each of the following stock prices is: | Price of Stock 6 Months from Now | $80 | $100 | $110 | $120 | |----------------------------------|-----|------|------|------| | Stock Price | $80 | $100 | $110 | $120 | | **All stocks (230 shares)** | | | | | | **All options (1,000 options)** | | | | | | **Bills + 100 options** | | | | | **Table Explanation:** - **Stock Price:** The anticipated stock price of AppX after six months. - **All stocks (230 shares):** The total value of all 230 shares purchased at the respective stock price. - **All options (1,000 options):** The value of all 1,000 call options purchased at the respective stock price. - **Bills + 100 options:** The value of the portfolio comprising 100 call options and the investment in money market fund (bills) at the respective stock price.
**Understanding Portfolio Returns Based on Stock Price Scenarios**

This educational content aims to examine the percentage return of your portfolio over a six-month period given various scenarios of stock price changes. The table below outlines the different potential outcomes for the stock price in six months and allows for analyzing the returns based on different investment strategies: 

1. **All Stocks (230 shares)**
2. **All Options (1,000 options)**
3. **Bills + 100 options**

### Table: Percentage Return of Your Portfolio in Six Months for Various Stock Prices

| Stock Price | Price of Stock 6 Months from Now | 
|-------------|----------------------------------|
|             | $80 | $100 | $110 | $120 | 
|-------------|-----|------|------|------|
| **All stocks (230 shares)** |  %  | %  | %  | %  |
| **All options (1,000 options)** |  %  | %  | %  | %  |
| **Bills + 100 options** |  %  | %  | %  | %  |

#### Explanation:

- **Stock Price:** This row indicates the potential price of the stock six months from now.
- **All stocks (230 shares):** This row will show the percentage return by investing all your funds into 230 shares of the stock.
- **All options (1,000 options):** This row will display the percentage return by investing all your funds into 1,000 options.
- **Bills + 100 options:** This row demonstrates the percentage return by a mixed investment strategy involving bills and 100 options.

Each cell corresponding to different future stock prices and investment strategies will contain the calculated percentage return based on the change in stock price.

This analytical approach helps in understanding how different investment choices perform under various market conditions, aiding in making more informed investment decisions.
Transcribed Image Text:**Understanding Portfolio Returns Based on Stock Price Scenarios** This educational content aims to examine the percentage return of your portfolio over a six-month period given various scenarios of stock price changes. The table below outlines the different potential outcomes for the stock price in six months and allows for analyzing the returns based on different investment strategies: 1. **All Stocks (230 shares)** 2. **All Options (1,000 options)** 3. **Bills + 100 options** ### Table: Percentage Return of Your Portfolio in Six Months for Various Stock Prices | Stock Price | Price of Stock 6 Months from Now | |-------------|----------------------------------| | | $80 | $100 | $110 | $120 | |-------------|-----|------|------|------| | **All stocks (230 shares)** | % | % | % | % | | **All options (1,000 options)** | % | % | % | % | | **Bills + 100 options** | % | % | % | % | #### Explanation: - **Stock Price:** This row indicates the potential price of the stock six months from now. - **All stocks (230 shares):** This row will show the percentage return by investing all your funds into 230 shares of the stock. - **All options (1,000 options):** This row will display the percentage return by investing all your funds into 1,000 options. - **Bills + 100 options:** This row demonstrates the percentage return by a mixed investment strategy involving bills and 100 options. Each cell corresponding to different future stock prices and investment strategies will contain the calculated percentage return based on the change in stock price. This analytical approach helps in understanding how different investment choices perform under various market conditions, aiding in making more informed investment decisions.
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