Ten annual returns are listed in the following table: (Click on the following icon in order to copy its contents into a spreadsh - 19.9% 18.0% 1.2% - 16.5% 45.6% 45.2% - 3.0% 16.6% - 50.0% 43.3% a. What is the arithmetic average return over the 10-year period? b. What is the geometric average return over the 10-year period? c. If you invested $100 at the beginning, how much would you have at the end?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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can you help me with question b please

Ten annual returns are listed in the following table: (Click on the following icon in order to copy its contents into a spreadsh
- 19.9%
16.6%
18.0%
- 50.0%
43.3%
1.2%
- 16.5%
a. What is the arithmetic average return over the 10-year period?
b. What is the geometric average return over the 10-year period?
c. If you invested $100 at the beginning, how much would you have at the end?
45.6%
a. What is the arithmetic average return over the 10-year period?
The arithmetic average return over the 10-year period is 8.05 %. (Round to two decimal places.)
b. What is the geometric average return over the 10-year period?
First find the future value of investing $1 today, using the following formula:
FV = $1 × ( (1 + R₁ ) × (1 + R₂ ) × • • • × (1 + RT))
X
Then use the following formula and solve for R:
FV= $1x (1 + R) 10
The geometric average return, R, over the 10-year period is %. (Round to four decimal places.)
45.2%
- 3.0%
Transcribed Image Text:Ten annual returns are listed in the following table: (Click on the following icon in order to copy its contents into a spreadsh - 19.9% 16.6% 18.0% - 50.0% 43.3% 1.2% - 16.5% a. What is the arithmetic average return over the 10-year period? b. What is the geometric average return over the 10-year period? c. If you invested $100 at the beginning, how much would you have at the end? 45.6% a. What is the arithmetic average return over the 10-year period? The arithmetic average return over the 10-year period is 8.05 %. (Round to two decimal places.) b. What is the geometric average return over the 10-year period? First find the future value of investing $1 today, using the following formula: FV = $1 × ( (1 + R₁ ) × (1 + R₂ ) × • • • × (1 + RT)) X Then use the following formula and solve for R: FV= $1x (1 + R) 10 The geometric average return, R, over the 10-year period is %. (Round to four decimal places.) 45.2% - 3.0%
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