Question

In: Statistics and Probability

Suppose that some data have been collected on the returns on a portfolio i and on...

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

Solutions

Expert Solution

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


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