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You are provided with the following information on four shares of stock. Assume that the base year is Dec 2000 and all splits take place on this date. That is after close of trading on December 31, 2000. Stock A and B have a 2 for 1 split at the end of trading on December 31, 2000. Use this information to answer the questions listed below.
31-Dec-00
31-Dec-01
Dec-01
Split
Stock
Price
Shares
MV
A
$ 175.00
10000
$ 50.00
20000
$1,750,000
$1,000,000
2
B
4000
$ 35.00
8000
$200,000
$280,000
C
$ 20.00
15000
$ 30.00
$300,000
$450,000
1
D
$ 140.00
$ 130.00
$2,800,000
$2,600,000
1. Calculate the rate of return on a price weighted average of the four stocks for the period December 31, 2000 to December 31, 2001. Remember to adjust for changes in the divisor.
2. Calculate the rate of return on a market value weighted index of the four stocks for the period December 31, 2000 to December 31, 2001.
3. Calculate the rate of return on an equally weighted index of the four stocks for the period December 31, 2000 to December 31, 2001.
Assume that an investor is offered a choice of a risk-free government bond or a high-risk corporate stock. Further assume that the expected return is the same for both. According to one of the axioms of finance, which investment would be chosen?
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