Question

As an analyst you have gathered the following information: Security Expected Annual Return Expected Standard Deviation...

  1. As an analyst you have gathered the following information:

Security

Expected Annual Return

Expected Standard Deviation

Correlation between Security and the Market

Security 1

11%

25%

0.6

Security 2

11%

20%

0.7

Security 3

14%

20%

0.8

Market

10%

15%

1.0

(i). Compute the total variance on all securities and identify the security which has the highest total risk?

(ii). Compute the market risk for all securities and identify the security which has the highest and least market risk?

(iii). Which security has the least amount of market risk?

Homework Answers

Answer #1

1) calculating variance of all securities

Security 1 =.25^2 = .0625

Security 2 = .20^2 =.04

Security 3 = .20^2 = .04

Security 1 has the highest variance compare to other securities so security 1 has the highest total risk

2) Market risk of the securities

Beta = (correlation*Security standard deviation)/ Market return

Security 1= (.6)(.25)/.10 =1.5

Security 2 =(.7)(.20)/.10 =1.4

Security 3 = (.8)(.20)/.10 =1.6

Here, the security 3 has highest market beta 1.6. So, security 3 has highest market risk

3) Security 2 has the lowest amount of Market risk. It has the lowest bea 1.4 So it the lowest market risk

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