The following table shows the Price-to-Earnings ratio for a Stereo equipment man
ID: 2724831 • Letter: T
Question
The following table shows the Price-to-Earnings ratio for a Stereo equipment manufacturing company between 1998 and 2002. The annual percentage growth rate of the P/E ratios are also calculated and given below:
Year
P/E Ratio
Growth rate %
1998
12.4
1999
14.6
17.74% (1998-1999)
2000
11.1
-23.97% (1999-2000)
2001
8.2
-26.13% (2000-2001)
2002
6.8
-17.07% (2001-2002)
Calculate the geometric mean growth rate increase or decrease over the period from 1998 to 2002.
Please show ALL work
Year
P/E Ratio
Growth rate %
1998
12.4
1999
14.6
17.74% (1998-1999)
2000
11.1
-23.97% (1999-2000)
2001
8.2
-26.13% (2000-2001)
2002
6.8
-17.07% (2001-2002)
Explanation / Answer
G=(PEN/PE0)1/g -1
6.8=12.4(1+g)4
G=(6.8/12.4)1/4-1 = -13.9%
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