Identifying Ticker Symbols and Interpreting Stock Quotes, Lecture notes of Mathematics

Download Identifying Ticker Symbols and Interpreting Stock Quotes and more Lecture notes Mathematics in PDF only on Docsity! Identifying Ticker Symbols and Interpreting Stock Quotes Lesson Summary Identifying Ticker Symbols and Interpreting Stock Quotes teaches students how to use stock ticker symbols to locate companies. Students will also learn how to read a stock quote. Lesson Objectives • Identify stocks by both newspaper and ticker symbol. • Determine how to look up a ticker symbol. • Enter purchase orders and/or make a trade on The Stock Market Game website. • Demonstrate the ability to use each of the following terms: share or stock, dividend, P/E ratio, volume or sales, change. NCTM Standards 1A - Understand numbers, ways of representing numbers, relationships among numbers, and number systems. 5A - Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them. 5B - Select and use appropriate statistical methods to analyze data. 5C - Develop and evaluate inferences and predictions that are based on data. 5D - Understand and apply basic concepts of probability. 6B - Solve problems that arise in mathematics and in other contexts. 6C - Apply and adapt a variety of appropriate strategies to solve problems. 8A - Organize and consolidate mathematical thinking through communication. 8B - Communicate mathematical thinking coherently and clearly to peers, teachers, and others. 9C - Recognize and apply mathematics in contexts outside of mathematics. 10A - Create and use representations to organize, record, and communicate mathematical ideas. Mathematical Strands Thinking Algebraically Students practice calculating the value of stocks before and after splits. Interpreting Statistics Students interpret graphs and make decisions based on the information presented. They are also asked to make choices about what types of investors might be more or less interested in certain graphs of the same information. Communicating Quantitative Information Students graph and choose scales, then make informed decisions based on trends and on their knowledge of the market. Tackling Complex Problems Students evaluate the portfolio decisions of fictional Stock Market Game teams. They explore the pros and cons of investing in a few shares of a high-priced stock versus many shares of a low-priced stock. 13 THINKING ALGEBRAICALLY Calculating Share Price After Splits Below is a chart showing the closing price of Apple, Inc. (AAPL) stock between January 2005 and April 2005. Closing Price of Apple Inc. (AAPL) Identifying Ticker Symbols and Interpreting Stock Quotes 14 Although it may look like Apple’s stock dropped dramatically in value in February 2005 (from about $90 per share to $45 per share), this is not the case. Apple Inc. split its stock, meaning that it doubled the number of outstanding shares on the market while cutting the price per share in half. Calculate the value of the stock holdings after they undergo a split. Complete the table with the appropriate information. Before the Split After the Split Type of Split Price Per Share # of Shares Value of Stock Price Per Share # of Shares Value of Stock $110 475 $388 6,378 590 $46,267.80 $52.48 $24,928.00 $47,579.40 $17.82 $32.16 7,222 2 fo r 1 1559 $82,564.64 $48 200 $60 300 $120.48 800 3 fo r 2 $64.41 $21,083.33 100 90 80 70 Pr ic e in D ol la rs 60 50 40 30 20 10 0 1/7/2005 2/11/2005 1/14/2005 1/28/2005 2/25/2005 12/31/2004 2/4/2005 3/4/2005 4/1/20051/21/2005 2/18/2005 3/11/2005 3/18/2005 3/25/2005 Date INTERPRETING STATISTICS Below are five-day and five-year graphs of closing prices for Pfizer. (Reuters. January 2007 <http://stocks.us.reuters.com/stocks/overview.asp?country=US&ticker=PFE.N&symbol=PFE.N>) Five-Day Five-Year 1. If you were considering buying Pfizer stock, would you buy the stock based on the five- day graph? 2. Would you buy the stock based on the five-year graph? 3. Using the information in both graphs, would you recommend buying the stock? Identifying Ticker Symbols and Interpreting Stock Quotes 17 COMMUNICATING QUANTITATIVE INFORMATION Identifying Ticker Symbols and Interpreting Stock Quotes 18 Displaying Closing Prices This is a list of closing prices from Sealy Corporation (ZZ) from October 25, 2006 to November 24, 2006. Date Close 24-Nov-06 $15.33 22-Nov-06 $15.15 21-Nov-06 $15.24 20-Nov-06 $14.87 17-Nov-06 $14.74 16-Nov-06 $14.48 15-Nov-06 $14.46 14-Nov-06 $14.16 13-Nov-06 $13.95 10-Nov-06 $13.98 9-Nov-06 $14.01 8-Nov-06 $14.07 7-Nov-06 $13.96 6-Nov-06 $14.02 3-Nov-06 $14.00 2-Nov-06 $14.12 1-Nov-06 $14.10 31-Oct-06 $14.07 30-Oct-06 $14.00 27-Oct-06 $13.95 26-Oct-06 $14.00 25-Oct-06 $13.68 1. Make a graph that displays the one-month trend of the stock’s closing price. 2. The 52-week high was $18.20 and the low was $11.64. Note this on the graph. 3. Once you have graphed the closing prices, make an argument about whether or not your team should buy the stock on November 25. Use the trend you notice in your graph to support your argument mathematically, and use your knowledge of the stock market to justify whether this stock will gain in price or continue to go down. TACKLING COMPLEX PROBLEMS Identifying Ticker Symbols and Interpreting Stock Quotes 19 Interpreting Stock Quotes and Ticker Symbols 1. Suzanne’s group decided to buy 9 shares of First National Bank Alaska (FNBA) for $2070 per share. Angel’s group decided to buy 2025 shares of South Street Financial Corporation (SSFC) for $9.20 per share. a. How much money did each group spend on their investment? Be sure to include a 2% broker’s fee. b. SSFC’s stock had increased to $9.32 per share when Angel’s group decided to sell it. How much did the group gain? Be sure to include a 2% broker’s fee. c. How much would First National Bank Alaska’s stock have to increase in the same period for Suzanne’s group to make the same amount of money? 2. In the spring 2007 Stock Market Game, two groups of students disagreed about whether they should invest $20,000 by purchasing shares of FNBA ($2,070.00) or invest the same amount of money by purchasing shares of SSFC ($9.20). a. Would they be able to buy more shares of the first stock or the second? Using mathematics, explain your answer. b. Without looking at any stock quotes, explain what reasons there may be to invest the money in a few shares of a high-priced stock. c. Explain what reasons there may be to invest the money in a few shares of a low- priced stock. INTERPRETING STATISTICS This is a six-month graph of closing prices of Texas Instruments Corporation stock. Texas Instruments, Inc. (TXN) $27.00 $28.00 $29.00 $30.00 $31.00 $32.00 $33.00 $34.00 Ju l-0 6 Au g- 06 Se p- 06 O ct -0 6 No v- 06 De c- 06 Ja n- 07 C lo si ng P ric e 1. If an investor bought the stock in the beginning of August, about how much did she pay? Answer: Between $32.00 and $33.00. 2. If she sold the stock in the beginning of December, about much did she sell it for? Answer: Between $29.00 and $29.50. 3. How much profit/loss was incurred between August and December? Answer: Between $2.50 and $4.00 (See the low and high values in #1 and #2.) 4. If she had held onto the stock until the beginning of January, how much would she have sold the stock for? Answer: About $29.10. 5. How much profit/loss was incurred? Answer: About $3.00. 6. Over which one-month period did the stock experience the biggest loss? Answer: Between mid-September through mid-October (about $3.80) 7. Over which one-month period did the stock experience the biggest gain? Answer: July had the greatest gain of about $3.50. 8. About when should you have purchased the stock if you had to hold onto it for ten weeks? Answer: You would want to have purchased it in the beginning of July. Identifying Ticker Symbols and Interpreting Stock Quotes Answer Key 14 INTERPRETING STATISTICS Below are five-day and five-year graphs of closing prices for Pfizer. (Reuters. January 2007 <http://stocks.us.reuters.com/stocks/overview.asp?country=US&ticker=PFE.N&symbol=PFE.N>) Five-Day Five-Year 1. If you were considering buying Pfizer stock, would you buy the stock based on the five- day graph? Answers may vary: Probably not, because a 5-day graph is not enough time (information) to decide if it is the right time to buy this stock. 2. Would you buy the stock based on the five-year graph? Answer: Possibly! The price is low enough to make this the time to buy low. It appears that maybe Pfizer is on the rebound. There has been some steady increase since mid-2005. 3. Using the information in both graphs, would you recommend buying the stock? Answer: More research would have to be done to determine whether or not it is time to buy Pfizer. Identifying Ticker Symbols and Interpreting Stock Quotes Answer Key 15 COMMUNICATING QUANTITATIVE INFORMATION Identifying Ticker Symbols and Interpreting Stock Quotes Answer Key 16 Displaying Closing Prices This is a list of closing prices from Sealy Corporation (ZZ) from October 25, 2006 to November 24, 2006. Date Close 24-Nov-06 $15.33 22-Nov-06 $15.15 21-Nov-06 $15.24 20-Nov-06 $14.87 17-Nov-06 $14.74 16-Nov-06 $14.48 15-Nov-06 $14.46 14-Nov-06 $14.16 13-Nov-06 $13.95 10-Nov-06 $13.98 9-Nov-06 $14.01 8-Nov-06 $14.07 7-Nov-06 $13.96 6-Nov-06 $14.02 3-Nov-06 $14.00 2-Nov-06 $14.12 1-Nov-06 $14.10 31-Oct-06 $14.07 30-Oct-06 $14.00 27-Oct-06 $13.95 26-Oct-06 $14.00 25-Oct-06 $13.68 1. Make a graph that displays the one-month trend of the stock’s closing price. Answer: Graph should be labeled “Dates” on the x-axis and “Stock Price” on the y-axis. 2. The 52-week high was $18.20 and the low was $11.64. Note this on the graph. 3. Once you have graphed the closing prices, make an argument about whether your team should buy the stock or not on November 25. Use the trend you notice in your graph to support your argument mathematically, and use your knowledge of the stock market to justify whether this stock will gain in price or continue to go down. Answers may vary: Based on the stock prices over the past month, it would appear that the stock price is going up.