Math Problem Statement
Question content area top Part 1 Use the stock table below to answer parts a through g. Assume that the data for Company XYZ stock came from an online quote you looked at during lunch. Company XYZ (XYZ)
Market Cap ($ millions) 87 comma 157 Last Change %Change Volume P/E ratio 17.59 15.89 plus0.38 2.45 68 comma 000 comma 000 Open High Low Dividend (latest quarter) 0.74 14.17 16.28 13.26 52-Week High 52-Week Low Dividend Yield 18.63% 21.08 11.13 Shares Outstanding (millions) 5485 Question content area bottom Part 1 a. What is the symbol for Company XYZ stock? The symbol is XYZ. Part 2 b. What was the price per share at the end of the day yesterday? $ 15.51 (Round to the nearest cent as needed.) Part 3 c. Based on the current price, what is the total value of the shares that have been traded so far today? $ 1,081 million (Round to the nearest whole number as needed.) Part 4 d. What percentage of all Company XYZ shares have been traded so far today? 1.24% (Round to the nearest hundredth as needed.) Part 5 e. Suppose you own 50 shares of Company XYZ. Based on the current price and dividend yield, what total dividend should you expect to receive this year? $______? enter your response here (Round to the nearest cent as needed.)
Solution
Let's go step-by-step through each part of the problem using the given data from the stock table.
Part 1a:
The symbol for Company XYZ stock is XYZ (already provided).
Part 1b:
To find the price per share at the end of the day yesterday, use the following:
- Last price: $15.89
- Change: +$0.38
The price at the end of yesterday would be the current price minus today's change: Thus, the price per share at the end of yesterday is $15.51 (rounded to the nearest cent).
Part 1c:
To find the total value of the shares traded today, use:
- Volume traded: 68,000,000 shares
- Current price: $15.89
The total value of shares traded today is calculated as: Rounded to the nearest million: Thus, the total value of shares traded today is $1,081 million.
Part 1d:
To find the percentage of all Company XYZ shares that have been traded today, use:
- Volume traded: 68,000,000 shares
- Shares outstanding: 5,485,000,000 shares
The percentage of shares traded is calculated as: Thus, 1.24% of all Company XYZ shares have been traded so far today.
Part 1e:
To find the total dividend you would expect to receive for the year, use:
- Number of shares owned: 50 shares
- Dividend yield: 18.63%
- Current price: $15.89
First, calculate the annual dividend per share: Now, calculate the total dividend for 50 shares: Thus, the total dividend you should expect to receive this year is $148.00.
Would you like more details on any of the parts or have any questions? Here are some follow-up questions that might be helpful:
- How do we calculate the change in stock price based on the day's performance?
- What does the P/E ratio indicate in the stock table, and how is it used?
- How would a different dividend yield affect your expected total dividend?
- How can stock volume affect the stock price during the day?
- How does the market capitalization relate to the company's overall stock value?
Tip: When calculating percentage changes or yields, always ensure you have the correct base value (in this case, the current price) for accurate results.
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Math Problem Analysis
Mathematical Concepts
Stock Market Mathematics
Percentages
Multiplication
Dividend Yield Calculations
Formulas
Yesterday's price = Current price - Today's change
Total value = Volume traded × Current price
Percentage traded = (Volume traded / Shares outstanding) × 100
Dividend per share = Dividend yield × Current price
Total dividend = Dividend per share × Number of shares owned
Theorems
Basic Stock Market Math Theorems
Percentage Calculation
Suitable Grade Level
Grades 9-12
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