Using the data in the following table,, and the fact that the correlation of A and B is 0.81, calculate the volatility (standard deviation) of a portfolio that is 65% invested in stock A and 35% invested in stock B. The return of stock A is 4.33 %. (Round to two decimal places.) The return of stock B is 12.50 %. (Round to two decimal places.) The variance of stock A is 0.00632. (Round to five decimal places.) The variance of stock B is 0.02743. (Round to five decimal places.) The standard deviation of stock A is 8.71%. (Round to two decimal places.) The standard deviation of stock B is 18.14%. (Round to two decimal places.) The variance of the portfolio of 65% stock A and 35% stock B is 0.02388. (Round to f The standard deviation of the portfolio of 65% stock A and 35% stock B is%. (Rour Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year 2017 2018 2019 2020 2021 2022 Stock A - 2% 16% 8% - 8% 2% 10% Print Done Stock B 13% 38% 13% - 5% - 10% 26% - X
Using the data in the following table,, and the fact that the correlation of A and B is 0.81, calculate the volatility (standard deviation) of a portfolio that is 65% invested in stock A and 35% invested in stock B. The return of stock A is 4.33 %. (Round to two decimal places.) The return of stock B is 12.50 %. (Round to two decimal places.) The variance of stock A is 0.00632. (Round to five decimal places.) The variance of stock B is 0.02743. (Round to five decimal places.) The standard deviation of stock A is 8.71%. (Round to two decimal places.) The standard deviation of stock B is 18.14%. (Round to two decimal places.) The variance of the portfolio of 65% stock A and 35% stock B is 0.02388. (Round to f The standard deviation of the portfolio of 65% stock A and 35% stock B is%. (Rour Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Realized Returns Year 2017 2018 2019 2020 2021 2022 Stock A - 2% 16% 8% - 8% 2% 10% Print Done Stock B 13% 38% 13% - 5% - 10% 26% - X
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question
![Using the data in the following table,, and the fact that the correlation of A and B is 0.81, calculate the volatility (standard deviation) of a portfolio that is 65% invested in stock A and 35% invested in
stock B.
The return of stock A is 4.33 %. (Round to two decimal places.)
The return of stock B is 12.50 %. (Round to two decimal places.)
The variance of stock A is 0.00632. (Round to five decimal places.)
The variance of stock B is 0.02743. (Round to five decimal places.)
The standard deviation of stock A is 8.71%. (Round to two decimal places.)
The standard deviation of stock B is 18.14%. (Round to two decimal places.)
The variance of the portfolio of 65% stock A and 35% stock B is 0.02388. (Round to f
The standard deviation of the portfolio of 65% stock A and 35% stock B is%. (Rour
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
Realized Returns
Year
2017
2018
2019
2020
2021
2022
Stock A
- 2%
16%
8%
- 8%
2%
10%
Print
Done
Stock B
13%
38%
13%
- 5%
- 10%
26%
-
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf8fd579-faa4-4fe5-8113-df3b218ed9ab%2F6cb4f3df-18c2-46d4-a743-307c18efaa75%2Fwmvnaos_processed.png&w=3840&q=75)
Transcribed Image Text:Using the data in the following table,, and the fact that the correlation of A and B is 0.81, calculate the volatility (standard deviation) of a portfolio that is 65% invested in stock A and 35% invested in
stock B.
The return of stock A is 4.33 %. (Round to two decimal places.)
The return of stock B is 12.50 %. (Round to two decimal places.)
The variance of stock A is 0.00632. (Round to five decimal places.)
The variance of stock B is 0.02743. (Round to five decimal places.)
The standard deviation of stock A is 8.71%. (Round to two decimal places.)
The standard deviation of stock B is 18.14%. (Round to two decimal places.)
The variance of the portfolio of 65% stock A and 35% stock B is 0.02388. (Round to f
The standard deviation of the portfolio of 65% stock A and 35% stock B is%. (Rour
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
Realized Returns
Year
2017
2018
2019
2020
2021
2022
Stock A
- 2%
16%
8%
- 8%
2%
10%
Print
Done
Stock B
13%
38%
13%
- 5%
- 10%
26%
-
X
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