MGFB10H3 Chapter Notes - Chapter 9: Systematic Risk, Arbitrage Pricing Theory, Risk-Free Interest Rate

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9 May 2013

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The efficient frontier with risk-free borrowing and lending. Portfolios of risky securities that lie along the efficient frontier (lies on the curve above the minimum variance portfolio) are efficient and give the highest expected return for the level of risk. Risk premium: the expected payoff that induces a risk-adverse person to enter into a risky situation: we assume most investors are risk adverse and will require a risk premium to endure risk. Insurance premium: the payment to get out of a risky situation. Portfolio is always a weighted average of the expected returns on the individual assets so we can estimate the expected return on this portfolio. Std deviation for risk free asset is zero b/c return does not vary. Correlation of return and risk of is also zero. Tangent portfolio: the risky portfolio on the efficient frontier whose tangent line cuts the vertical axis at the risk-free rate.

Related Questions

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%. Whatâs 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, whatâs 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

Choose the correct answer:

The beta of an efficient portfolio: a. must be 1 since an efficient portfolio is perfectly positively correlated with the market portfolio.

b. is proportional to 1, depending on the proportion invested in the market portfolio.

c. is equivalent to the portfolio's standard deviation, since standard deviation is the measure of risk for an efficient portfolio.

d. is always less than 1.

Security A has a greater level of systematic risk than security B. The expected equilibrium return for A must be greater than that for B because:

a. B's price will fall as investors realize that B offers lower returns.

b. if it is not, then A's price will fall and B's price will rise as investors sell A and buy B.

c. the Security Market Line is negatively sloped.

d. the standard deviation of A's return is greater than B's.

In case of a simple CAPM being used to estimate a time series data:

a. the mean of a residual risk should be equal to zero.

b. the regression coefficient should be equal to zero.

c. the difference between the market return and the riskfree rate of return should be equal to zero.

d. the beta of the portfolio should be equal to zero.

In a CAPM framework, prohibiting short sales:

a. will prohibit investors from holding the market portfolio in equilibrium.

b. will make the security market line steeper.

c. will encourage investors to hold more riskless assets.

d. will not change the equilibrium.

Security A has a beta of .99, security B has a beta of 1.2, and security C has a beta of -1.0. This information indicates that

security A has the highest degree of market risk.
security B has 20% more systematic risk than the market.
security C has the highest degree of market risk.
security C would be the best investment if a strong bull market is expected.

When the stock market has bottomed out and is beginning to recover, the best portfolio to own is the one with a beta of (Points : 1)

0.0.
+0.5.
+1.5.
+2.0.

Portfolios located on the efficient frontier may not be part of the feasible set. (Points : 1)

True
False

A coefficient of determination of 0.6 means that 40% of the variation in a security's return is related to factors other than the security's relationship to the market. (Points : 1)

True
False

Small company stocks are yielding 15.7% while the U.S. Treasury bill has a 4.3% yield and a bank savings account is yielding 3.8%. What is the risk premium on small company stocks

The risk-free rate of return is 2% while the market rate of return is 12%. Parson Company has a historical beta of .85. Today, the beta for Delta Company was adjusted to reflect internal changes in the structure of the company. The new beta is 1.38. What is the amount of the change in the expected rate of return for Delta Company based on this revision to beta

I and II only
III and IV only
II, III and IV only
I, II, and IV only

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MGFB10H3 Chapter Notes - Chapter 9: Systematic Risk, Arbitrage Pricing Theory, Risk-Free Interest Rate

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