A. Calculate the covariance for the returns of stock 1 and stock 2 given the six years
Question:
A. Calculate the covariance for the returns of stock 1 and stock 2 given the six years of historical returns presented below:
Year | NSC Return (1) | JSE Return (2) |
2016 | +0.10 | +0.20 |
2017 | -0.15 | -0.20 |
2018 | +0.20 | -0.10 |
2019 | +0.25 | +0.30 |
2020 | -0.30 | -0.20 |
2021 | +0.20 | +0.60 |
B. Given that the standard deviation of stock 1 and stock 2 in the table above is 0.2236 and 0.3225, respectively, use your answer in (A) to calculate and interpret the correlation between the 2 assets.
Based on the characteristics of NSC and JSE above you are considering forming a portfolio comprising the two stocks such that you invest the following amounts:
i. $40000 and $60000 in company NSC and JSE respectively in the first instance, and alternatively
ii. $70000 and $30000 in company NSC and JSE respectively.
C. What is the expected return and standard deviation of the portfolio in the two instances above?
Intermediate Financial Management
ISBN: 978-1111530266
11th edition
Authors: Eugene F. Brigham, Phillip R. Daves