question archive A stock has had the following year-end prices and dividends: Year Price Dividend 1 $ 43
Subject:FinancePrice:2.85 Bought3
A stock has had the following year-end prices and dividends: |
Year |
|
Price |
|
Dividend |
|||
1 |
|
$ |
43.27 |
|
|
- |
|
2 |
|
|
48.25 |
|
$ |
0.45 |
|
3 |
|
|
57.17 |
|
|
0.48 |
|
4 |
|
|
45.25 |
|
|
0.60 |
|
5 |
|
|
52.17 |
|
|
0.65 |
|
6 |
|
|
61.25 |
|
|
0.73 |
|
|
What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations and round your final answers to 2 decimal places. (e.g., 32.16))
|
|
Arithmetic return |
?? % |
Geometric return |
?? % |
Please find the answers as follows:
Year | Price | Dividend | Annual Return | |||
1 | 43.27 | 0 | 0 | |||
2 | 48.25 | 0.45 | 12.55% | |||
3 | 57.17 | 0.48 | 19.48% | |||
4 | 45.25 | 0.6 | -19.80% | |||
5 | 52.17 | 0.65 | 16.73% | |||
6 | 61.25 | 0.73 | 18.80% | |||
Arithmetic Return = (12.55 + 19.48 -19.8 + 16.73 + 18.8)/5 = 9.552% or 9.6% Geomatric Return = [(1+.1255)*(1+.1948)*(1-.1980)*(1+.1673)*(1+.1880)]^1/5 - 1 = 8.38% |