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State of Economy Probability

Question 1

5 / 5 pts

A firm you are analyzing has had the following returns the past 5 years: 27.0%, 13.0%, 18.0%, -14.0% and 9.0 %. What are the standard deviation and variance of the past five year returns?

0.1531, 0.0234

0.1369, 0.0187

0.1531, 0.0187

Question 2

5 / 5 pts

A stock has had returns of 16.12%, 22.11%, -25.00%, 26.14%, and 16.00% over the past five years. What was the holding period return for the stock?

55.61%

155.61%

50.67%

Question 3

10 / 10 pts

You are constructing a two stock portfolio based on the information provided below. What dollar amount will you invest in each stock to achieve the desired return goal?

Stock X Stock Y

Expected Return 14.0% 9.0%

Goal Return of Portfolio: 12.90%

Dollar Amount to Invest: $10,000

X = $7,800; Y = $2,200

X = $2,200; Y = $7,800

X = $6,800; Y = $3,200

Question 4

10 / 10 pts

Your stock portfolio contains 4 stocks with the following betas and weight as a percentage of your portfolio. What is the portfolio beta?

Weight Beta

Stock A 10 pct. 0.75

Stock B 35 pct. 1.90

Stock C 20 pct. 1.38

Stock D 35 pct. 1.16

1.42

1.30

1.36

Question 5

10 / 10 pts

Based on the following information determine the covariance and correlation between the returns of the two stocks.

State of Economy Probability of State of Economy Return of X Return of Y

Bear 0.35 -0.02 0.034

Normal 0.60 0.138 0.062

Bull 0.05 0.218 0.092

Cov = 0.001243, Corr=0.9794

Cov = 0.001243, Corr=0.00025

Cov= 0.001469, Corr=0.9610

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