Describe arithmetic and geometric returns, and explain the difference between both. Calculate the investment below with
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Question:
Describe arithmetic and geometric returns, and explain the difference between both.
- Calculate the investment below with both geometric and arithmetic returns (Show answers to 2 decimal places).
Period | Investment |
1 | 30% |
2 | -25% |
3 | 30% |
4 | -25% |
5 | 30% |
6 | -25% |
- In your reporting of investment returns, in what circumstances would lead to the use of geometric returns being preferable to arithmetic returns ? In what circumstances would arithmetic returns be preferable to geometric returns? (4 marks)
- A portfolio of non-dividend paying stocks earned a geometric mean return of 5% between January 1, 2005, and December 31, 2011. The arithmetic mean return for the same period was 6%. If the market value of the portfolio at the beginning of 2005 was $100,000, what was the market value of the portfolio at the end of 2011? (2 marks)
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