In: Statistics and Probability
Suppose that some data have been collected on the returns on a portfolio i and on the excess returns on a market index as shown in the following table. What is the OLS estimator for βi ?
year |
Portfolio return |
Market return |
2015 |
2.8 |
1.5 |
2016 |
3.9 |
4.3 |
2017 |
4.6 |
5.6 |
2018 |
1.6 |
2.1 |
A.
0.51
B.
0.60
C.
0.32
D.
1.23
Answer:
Given that:
Suppose that some data have been collected on the returns on a portfolio i and on the excess returns on a market index as shown in the following table
Year | Portfolio return | Market return |
2015 | 2.8 | 1.5 |
2016 | 3.9 | 4.3 |
2017 | 4.6 | 5.6 |
2018 | 1.6 | 2.1 |
1.5 | 2.8 | -1.875 | -0.425 | 3.515625 | 0.180625 | 0.796875 |
4.3 | 3.9 | 0.925 | 0.675 | 0.855625 | 0.455625 | 0.624375 |
5.6 | 4.6 | 2.225 | 1.375 | 4.950625 | 1.890625 | 3.059375 |
2.1 | 1.6 | -1.275 | -1.625 | 1.625625 | 2.640625 | 2.071875 |
13.5 | 12.9 | 10.9475 | 5.1675 | 6.5525 |
Option (B) is correct answer