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1) You wish to invest in a portfolio of stocks A (50%) and B (50%). The risk free rate is 4%.

A B

Expected return (%) 10 20

Beta 1.2 1.8

Correlation coefficient between returns 0.3

What’s the portfolio return?

a)24%
b) 30%
c)11%
d) 15%

2) What’s the portfolio beta in Question 1?

a) 3
b) 1.5
c) 1.2

d) 1.8

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Nelly Stracke
Nelly StrackeLv2
28 Sep 2019

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Related questions

1. You wish to invest in a portfolio of stocks A (50%) and B (50%). The risk free rate is 4%.

A B

Expected return (%) 10 20

Beta 1.2 1.8

Correlation coefficient between returns 0.3

What’s the portfolio return? (In percent without % sign, E.g. 33)

2. What’s the portfolio beta in Question 1?

3. The risk reduction through diversification in a portfolio of two stocks

a. decreases as the correlation between the stocks rises.
b. (Not enough information.)
c. increases as the correlation between the stocks declines.

d. (Both statements are correct.)

1. If we are able to eliminate all of the unsystematic or diversifiable risk in a portfolio then, what is the result?

a.

a risk-free portfolio
b.
a portfolio that has an expected return of zero
c.

a portfolio that contains only systematic risk

2. A portfolio consists 20% of a risk-free asset and 80% of a stock. The risk-free return is 4%. The stock has an expected return of 15% and a standard deviation of 30%. What’s the expected return of the portfolio?

a.
9.5%
b.
15.0%
c.
12.8%

d.
2%


3. The risk-free rate is 5% and the expected return on the market portfolio is 13%. A stock has a beta of 1.5, what is its expected return?


a.
12%
b.
19.5%
c.

17%

4. For what value of the correlation coefficient for the returns of a pair of stocks will the benefits of diversification the largest?


a.

1.0
b.

-1.0
c.

0.0
d.

0.5


5. Which of the following is an example of systematic risk?
a.
IBM posts lower than expected earnings.
b.
The overall stock market becomes more risky due to super fasting trading algorithms.
c.

Intel announces record earnings.

6. According to the CAPM (capital asset pricing model), the security market line is a straight line. The intercept of this line should be equal to

a.
zero
b.
the expected risk premium on the market portfolio
c.
the expected return on the market portfolio
d.
the risk-free rate


7. A portfolio has 40% invested in Asset 1, 50% invested in Asset 2 and 10% invested in Asset 3. Asset 1 has a beta of 1.2, Asset 2 has a beta of 0.8 and Asset 3 has a beta of 1.8, what’s the beta of the portfolio?

a.
0.80
b.
1.06
c.
1.27


8. Suppose you can borrow and lend at the risk free-rate of 3%. Which of the following four risky portfolios has the best return relative to risk. (Hint: Calculate Sharpe Ratios the ratio of risk premium to standard deviation for each portfolio)

a.
portfolio with a standard deviation of 15% and an expected return of 12%
b.
portfolio with a standard deviation of 12% and an expected return of 9%
c.
portfolio with a standard deviation of 25% and an expected return of 18%
d.
portfolio with a standard deviation of 19% and an expected return of 15%


9. Which statements are TRUE regarding risk and return?

Statement I:
Diversification is the process of removing systematic risk from a portfolio.
Statement II:
In general, the greater the risk, the greater the return required by an investor.
Statement III:
Investors should focus on real returns if they are concerned about the purchasing power of their wealth.


a.
Statements II and III only
b.
Statement I only
c.
Statements I and III only
d.
Statements I and II only

10. The beta of the risk-free asset is:
a.

1.0
b.

0.5
c.

0.0
d.

-1.0

Stocks A and B each have an expected return of 15%, a standard deviation of 20%, and a beta of 1.2. The returns on the two stocks have a correlation coefficient of +0.6. You have a portfolio that consists of 50% A and 50% B. Which of the following statements is CORRECT?

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