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Using the stock price and shares outstanding data found in the Question 4-5 tab in your Excel data file, calculate the annual returns in years
- Using the stock price and shares outstanding data found in the Question 4-5 tab in your Excel data file, calculate the annual returns in years 1-10 for a price-weighted index, a value-weighted index, and an unweighted (i.e. equally weighted) index and answer the following: (2 points eachdisplay divisors as numbers rounded to two decimals and returns as percentages rounded to two decimals.)
- The price-weighted index divisor in year 5, following a 3:1 split in EFG is:
- The price-weighted index divisor in year 7, following a 1:2 reverse split in ABC is:
- The annual arithmetic mean return for the price-weighted index is:
- The annual geometric mean return for the price-weighted index is:
- The annual arithmetic mean return for the value-weighted index is:
- The annual geometric mean return for the value-weighted index is:
- The annual arithmetic mean return for the unweighted index is:
- The annual geometric mean return for the unweighted index is:
- Why are the geometric mean returns always smaller than the arithmetic means?
Stock Price | Shares Outstanding | ||||||||
Stock | ABC | EFG | JKL | XYZ | ABC | EFG | JKL | XYZ | |
Year 0 | $12.00 | $126.00 | $500.00 | $75.00 | 2000 | 500 | 75 | 750 | |
Year 1 | $16.13 | $172.80 | $721.85 | $100.24 | 2000 | 500 | 75 | 750 | |
Year 2 | $12.57 | $144.14 | $619.56 | $96.84 | 2000 | 500 | 75 | 750 | |
Year 3 | $13.51 | $166.84 | $852.08 | $131.68 | 2000 | 500 | 75 | 750 | |
Year 4 | $14.98 | $199.79 | $997.35 | $159.39 | 2000 | 500 | 75 | 750 | |
Year 5 | $13.14 | $67.66 | $1,495.92 | $203.84 | 2000 | 1500 | 75 | 750 | |
Year 6 | $14.57 | $68.16 | $1,529.27 | $221.69 | 2000 | 1500 | 75 | 750 | |
Year 7 | $33.28 | $72.45 | $1,697.79 | $260.46 | 1000 | 1500 | 75 | 750 | |
Year 8 | $44.22 | $94.18 | $2,543.96 | $381.93 | 1000 | 1500 | 75 | 750 | |
Year 9 | $26.94 | $56.73 | $1,290.04 | $231.14 | 1000 | 1500 | 75 | 750 | |
Year 10 | $30.15 | $65.44 | $1,453.87 | $289.66 | 1000 | 1500 | 75 | 750 |
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