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1) A firm you are analyzing has had the following returns the past 5 years: 7.0%, 6.0%, -4.0%, 3.0% and 2.0 %. What are the

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1) A firm you are analyzing has had the following returns the past 5 years: 7.0%, 6.0%, -4.0%, 3.0% and 2.0 %. What are the standard deviation and variance of the past five year returns?

0.0432, 0.0019
0.0387, 0.0015
0.0432, 0.0015

2) A stock has had returns of 16.12%, 12.11%, 5.83%, 26.14%, and -13.19% over the past five years. What was the holding period return for the stock?

50.86%
150.86%
58.04%

3) 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 XStock Y
Expected Return14.0%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

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

WeightBeta
Stock A30 pct..1.80
Stock B35 pct..1.50
Stock C15 pct.1.38
Stock D20 pct.0.80
1.43
1.37
1.40

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

State of EconomyProbability of State of EconomyReturn of XReturn of Y
Bear0.10-0.030.05
Normal0.650.110.062
Bull0.250.250.092
Cov = 0.001086, Corr=0.9589
Cov = 0.001086, Corr=0.00019

Cov= 0.001092, Corr=0.9327

image text in transcribed 1) A firm you are analyzing has had the following returns the past 5 years: 7.0%, 6.0%, -4.0%, 3.0% and 2.0 %. What are the standard deviation and variance of the past five year returns? 0.0432, 0.0019 0.0387, 0.0015 0.0432, 0.0015 2) A stock has had returns of 16.12%, 12.11%, 5.83%, 26.14%, and -13.19% over the past five years. What was the holding period return for the stock? 50.86% 150.86% 58.04% 3) 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? Expected Return Goal Return of Portfolio: 12.90% Dollar Amount to Invest: $10,000 Stock X Stock Y 14.0% 9.0% X = $7,800; Y = $2,200 X = $2,200; Y = $7,800 X = $6,800; Y = $3,200 4) 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 30 pct.. 1.80 Stock B 35 pct.. 1.50 Stock C 15 pct. 1.38 Stock D 20 pct. 0.80 1.43 1.37 1.40 5) 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 0.10 -0.03 0.05 Normal 0.65 0.11 0.062 Bull 0.25 0.25 0.092 Cov = 0.001086, Corr=0.9589 Cov = 0.001086, Corr=0.00019 Cov= 0.001092, Corr=0.9327

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