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 | 
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| 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