As you may suspect, the equation for the CAPM is the equation for a
straight line: Y=a+bX . In other words, once we have the needed
information, we can use simple regression analysis to arrive at a beta
(regression coefficient) for a given stock. To do so, we need two sets
of data over a given time period: Rates of returns for both a stock
and ?the market?- as represented by either DJIA or S&P Indices- over
the same time period. This project requires you to conduct a
regression analysis using Excel and to find the beta for the
publicly-traded Apple Computers Corporation. You will also be asked to
demonstrate your understanding of some of the key investment-related
issues.
To get started on the project you are being provided with the
information that need. (Tabled Data Below). As you see from the
following pages, using Yahoo Finance at http://finance.yahoo.com/ ,
you are given the monthly stock prices for both Apple and DJIA. The
two data sets given here contain over 40 monthly prices (covering over
3.5 years of stock price data). You need 37 such observations covering
January 2000 through January 2003 to finish your project. Furthermore,
you may actually go to the above site and download such data in Excel
Spreadsheet format. This saves you time for entering data manually.
The ticker symbol for Apple is AAPL and for DJIA is DJIA. Use Yahoo
Finance?s ?Historical Prices? hot link to get the prices first and
then convert such prices into returns (%) as you have learned in this
class. Use the three-year time periods specified above. Then answer
the following questions:
1. What is Apple?s beta given the 36-month data specified for this project?
2. Interpret your calculated beta. What does this figure show? Explain.
3. Go to http://finance.yahoo.com/ and find and report the latest beta
value available for Apple given at that sight. To do this, once you
have entered the symbol of Apple, click on Profile and scroll down to
see the beta value for the company. What is the latest beta for Apple?
(State the date when you observed such beta in your report). Now,
compare your calculated beta for the company with the latest beta. Are
there any significant differences? What might explain such a
difference, if any at all? Explain.
4. By going back to http://finance.yahoo.com/, find the latest value
for Microsoft. MS? symbol is MSFT. Compare the two betas. Why are the
two betas different? Explain.
5. Plug the two betas you just looked up in the CAPM equation and find
the required rates of return for both Apple and Microsoft. You may use
12% as the market rate of return (km) and use the current yields on
10-year T-Notes as the risk-free rate (krf). What do these required
rates tell potential investors interested in Apple and Microsoft?
Explain your thoughts.
HISTORICAL MARKET ?PRICES? AS REPRESENTED BY THE DJIA INDEX
Date Open High Low Close Volume Adj. Close*
Jul 03 8,983.66 9,068.05 8,843.61 9,040.95 29,204,000 9,040.95
Jun 03 8,851.45 9,406.50 8,823.51 8,985.44 15,622,190 8,985.44
May 03 8,478.48 8,897.04 8,328.55 8,850.26 15,543,285 8,850.26
Apr 03 7,992.83 8,587.72 7,947.38 8,480.09 14,985,771 8,480.09
Mar 03 7,890.24 8,552.08 7,397.31 7,992.13 15,035,966 7,992.13
Feb 03 8,053.74 8,189.35 7,602.81 7,891.08 14,004,526 7,891.08
Jan 03 8,342.38 8,896.09 7,884.66 8,053.81 15,394,338 8,053.81
Dec 02 8,902.95 9,076.35 8,214.93 8,341.63 12,896,257 8,341.63
Nov 02 8,395.64 8,995.78 8,237.65 8,896.09 14,881,610 8,896.09
Oct 02 7,593.04 8,607.04 7,181.47 8,397.03 17,172,873 8,397.03
Sep 02 8,659.27 8,767.82 7,422.28 7,591.93 14,739,590 7,591.93
Aug 02 8,732.60 9,129.10 7,991.40 8,663.50 13,740,136 8,663.50
Jul 02 9,239.30 9,433.10 7,489.50 8,736.60 20,126,400 8,736.60
Jun 02 9,923.90 10,016.00 8,831.90 9,243.30 15,210,395 9,243.30
May 02 9,944.90 10,400.60 9,749.70 9,925.30 12,796,136 9,925.30
Apr 02 10,402.10 10,437.40 9,767.20 9,946.20 13,726,136 9,946.20
Mar 02 10,111.00 10,728.90 10,086.50 10,403.90 13,855,400 10,403.90
Feb 02 9,923.00 10,315.70 9,503.50 10,106.10 14,442,000 10,106.10
Jan 02 10,021.70 10,345.40 9,443.30 9,920.00 14,906,285 9,920.00
Dec 01 9,848.90 10,220.80 9,651.90 10,021.60 13,036,085 10,021.60
Nov 01 9,087.50 10,054.60 8,987.60 9,851.60 13,177,904 9,851.60
Oct 01 8,846.00 9,626.50 8,659.90 9,075.10 13,610,339 9,075.10
Sep 01 9,947.00 10,238.50 7,926.90 8,847.60 17,899,060 8,847.60
Aug 01 10,527.40 10,663.10 9,829.40 9,949.80 10,556,217 9,949.80
Jul 01 10,505.00 10,758.10 10,049.40 10,522.80 11,868,052 10,522.80
Jun 01 10,913.60 11,236.70 10,313.40 10,502.40 12,657,328 10,502.40
May 01 10,734.10 11,436.40 10,638.50 10,911.90 11,705,681 10,911.90
Apr 01 9,877.20 10,973.20 9,303.50 10,735.00 13,272,245 10,735.00
Mar 01 10,493.30 10,940.50 9,047.60 9,878.80 13,221,550 9,878.80
Feb 01 10,884.80 11,140.10 10,225.10 10,495.30 12,036,684 10,495.30
Jan 01 10,790.90 11,224.40 10,325.70 10,887.40 12,151,623 10,887.40
Dec 00 10,416.80 11,044.70 10,158.20 10,788.00 11,620,655 10,788.00
Nov 00 10,966.20 11,152.00 10,204.80 10,414.50 10,342,300 10,414.50
Oct 00 10,659.10 11,108.80 9,571.40 10,971.10 12,417,181 10,971.10
Sep 00 11,219.50 11,518.80 10,439.30 10,650.90 11,017,700 10,650.90
Aug 00 10,523.80 11,416.00 10,428.60 11,215.10 9,309,608 11,215.10
Jul 00 10,450.40 10,980.30 10,303.30 10,522.00 10,020,850 10,522.00
Jun 00 10,532.30 11,013.10 10,161.50 10,447.90 10,544,545 10,447.90
May 00 10,749.40 11,086.70 10,163.20 10,522.30 9,481,272 10,522.30
Apr 00 10,863.30 11,600.40 10,128.60 10,733.90 11,100,557 10,733.90
Mar 00 10,128.10 11,311.30 9,611.80 10,921.90 11,905,913 10,921.90
Feb 00 10,937.70 11,228.40 9,760.40 10,128.30 11,058,150 10,128.30
Jan 00 11,501.90 11,908.50 10,610.40 10,940.50 11,244,100 10,940.50
Source:
Yahoo Finance. (2005). Retreived October 14, 2004 from
http://finance.yahoo.com http://finance.yahoo.com/
HISTORICAL STOCK PRICES FOR APPLE COMPUTERS
Date Open High Low Close Volume Adj. Close*
Jul 03 18.87 19.18 18.51 19.09 6,464,000 19.09
Jun 03 18.10 19.69 16.63 19.06 5,387,319 19.06
May 03 14.25 19.01 14.00 17.95 9,518,957 17.95
Apr 03 14.20 14.95 12.72 14.22 7,001,290 14.22
Mar 03 15.01 15.16 14.04 14.14 3,643,761 14.14
Feb 03 14.41 15.30 13.80 15.01 4,050,189 15.01
Jan 03 14.36 15.38 13.56 14.36 5,431,171 14.36
Dec 02 15.90 16.10 13.78 14.33 4,023,100 14.33
Nov 02 15.94 17.38 15.01 15.50 4,174,245 15.50
Oct 02 14.59 16.44 13.36 16.07 5,362,786 16.07
Sep 02 14.49 15.19 14.05 14.50 4,937,085 14.50
Aug 02 15.11 16.25 13.97 14.75 4,338,640 14.75
Jul 02 17.71 18.79 13.80 15.26 6,841,813 15.26
Jun 02 23.39 23.45 15.98 17.72 8,015,960 17.72
May 02 24.29 25.98 22.14 23.30 5,147,445 23.30
Apr 02 23.38 26.17 23.00 24.27 5,441,395 24.27
Mar 02 21.93 25.30 21.82 23.67 4,845,570 23.67
Feb 02 25.09 25.98 20.94 21.70 7,745,464 21.70
Jan 02 22.05 24.73 20.25 24.72 7,639,304 24.72
Dec 01 21.06 24.03 20.09 21.90 4,256,805 21.90
Nov 01 17.65 21.55 17.25 21.30 4,824,538 21.30
Oct 01 15.49 19.42 14.83 17.56 6,069,873 17.56
Sep 01 18.50 19.08 14.68 15.51 7,019,800 15.51
Aug 01 19.01 19.90 17.28 18.55 4,150,826 18.55
Jul 01 23.64 25.22 17.85 18.79 7,559,633 18.79
Jun 01 20.13 25.10 19.35 23.25 6,933,380 23.25
May 01 25.41 26.70 19.30 19.95 6,421,531 19.95
Apr 01 22.09 27.12 18.75 25.49 10,405,150 25.49
Mar 01 17.81 23.75 17.19 22.07 9,090,431 22.07
Feb 01 20.69 21.94 18.00 18.25 7,078,947 18.25
Jan 01 14.88 22.50 14.44 21.62 12,279,052 21.62
Dec 00 17.00 17.50 13.62 14.88 8,472,595 14.88
Nov 00 19.44 23.00 16.12 16.50 7,906,438 16.50
Oct 00 26.69 26.75 17.50 19.56 18,499,731 19.56
Sep 00 61.31 64.12 25.38 25.75 19,588,010 25.75
Aug 00 50.31 61.50 44.25 60.94 4,701,617 60.94
Jul 00 52.12 60.62 46.88 50.81 5,269,705 50.81
Jun 00 2:1 Stock Split
Jun 00 81.75 103.94 50.31 52.38 4,511,400 52.38
May 00 124.88 126.25 81.75 84.00 4,156,354 42.00
Apr 00 135.50 139.50 104.88 124.06 4,187,963 62.03
Mar 00 118.56 150.38 114.00 135.81 3,533,769 67.91
Feb 00 104.00 119.94 97.00 114.62 3,432,475 57.31
Jan 00 104.87 121.50 86.50 103.75 5,918,240 51.88
Source:
Yahoo Finance. (2005). Retreived October 14, 2004 from
http://finance.yahoo.com http://finance.yahoo.com/ |