Question 1

On January 1st,an investor purchases security A for $105.Over the next four months,dividends totaling $15 were paid on security A.On March 31st,security A was sold for $120.What is the holding period return for security A?

Accepted Answer

Holding period return (HPR) is the return received by an investor by holding a security for a specific period of time.

HPR = (Ending value - Beginning value + Income) / Beginning value

In this case, the beginning value of Security A is $105, income received is $15, and the ending value is $120.

HPR = (120-105+15)/105 = 0.286 or 28.6%

Therefore, the holding period return for Security A is 28.6%, which is represented by option D.

Question 2

The unit of measure that is used by portfolio managers to measure returns for individual securities on a periodic basis is the:

Accepted Answer

Holding period return (HPR) is specifically used to measure the returns on individual securities over the period they are held, making it the correct choice for portfolio managers to assess periodic performance.

Question 3

The optimal combination of securities that provides the greatest amount of return for each level of risk is known as:

Accepted Answer

The optimal combination of securities that provides the greatest amount of return for each level of risk is known as the efficient frontier. This concept is important in portfolio theory, as investors aim to construct portfolios that maximize returns while minimizing risk. The efficient frontier represents the set of portfolios that offer the highest expected return for a given level of risk or the lowest risk for a given level of expected return. Therefore, choice C - efficient frontier - is the correct answer.

Question 4

One would see the greatest amount of diversification from two securities that are:

Accepted Answer

Negatively correlated securities offer the greatest amount of diversification because their prices move in opposite directions. When one security's price goes up, the other's tends to go down, reducing the overall risk of the portfolio.

Question 5

Assume a portfolio is comprised of two securities,A and B,whose standard deviations are 0.0412 and 0.0721,respectively.If their covariance is 0.002,what is their coefficient of correlation?

Accepted Answer

The coefficient of correlation between securities A and B is given by the formula:

ρ = Cov(A,B) / (σ(A) * σ(B))

Where Cov(A,B) is the covariance between A and B, σ(A) is the standard deviation of A, and σ(B) is the standard deviation of B. Substituting the given values, we get:

ρ = 0.002 / (0.0412 * 0.0721) = 0.673

Therefore, the coefficient of correlation between A and B is 0.673, which is closest to choice C.

Question 6

The variability on an asset's returns represents:

Accepted Answer

Variability on an asset's returns represents risk. It indicates the degree of uncertainty or potential loss associated with investing in the asset. The higher the variability, the higher the risk. Therefore, investors need to consider the variability of returns when making investment decisions.

Question 7

The NCREIF Property Index can be characterized by each of the following EXCEPT:

Accepted Answer

The NCREIF Property Index includes only institutional-grade properties and reflects the performance of these properties through both income and appreciation. However, the index does not specifically reflect payments to property managers or portfolio asset managers. Therefore, answer choice C is incorrect. All other answer choices are true statements about the NCREIF Property Index.

Question 8

If the returns of two securities are compared over time and there appears to be no relationship between their movements,what is the likely value of their coefficient of correlation?

Accepted Answer

If there appears to be no relationship between the movements of two securities, their coefficient of correlation is likely to be zero. This means that there is no linear relationship between the two variables, and they move independently of each other. A coefficient of +1 indicates a perfect positive relationship, a coefficient of -1 indicates a perfect negative relationship, and a coefficient of +∞ is not possible as it implies an infinite positive relationship, which is not realistic.

Question 9

Regarding real estate investments,risk that is associated with the type of property and its location,design,lease structure,and so on can be thought of as:

Accepted Answer

Business risk refers to the risk associated with the operation and financial performance of the property. It includes factors such as the property's location, design, lease structure, tenant occupancy rate, and other similar factors that can impact the cash flow generated by the property. Marketability risk and liquidity risk refer to the ease of selling a property and converting it into cash, and interest rate risk refers to the risk of fluctuations in interest rates that can impact the cost of financing a property. Thus, Business risk is the most appropriate term to describe the risks associated with the type of property and its related factors.

Question 10

Geometric mean returns are:

Accepted Answer

The geometric mean return is expressed as a compound rate of interest, reflecting the compounded growth rate of an investment over multiple periods.

Question 11

Which of the following is a major property category associated with the NCREIF Index:

Accepted Answer

The NCREIF Index tracks the performance of institutional-quality commercial real estate properties, including apartment complexes, office buildings, hotels, and other property types. Therefore, all of the above choices are major property categories associated with the NCREIF Index.

Question 12

Which of the following provides a measure of the extent to which returns tend to move together or have no relationships?

Accepted Answer

The coefficient of correlation measures the extent to which returns tend to move together or have no relationships. The coefficient of determination (A) is related to the coefficient of correlation, but it measures the portion of the variance in one variable that is explained by the other variable. The variance (B) measures how spread out a set of data is from its mean, while the coefficient of variation (C) measures the ratio of the standard deviation to the mean, indicating the relative variability of the data.

Question 13

The coefficient of variation,also known as the risk-to-reward ratio,is defined as:

Accepted Answer

The coefficient of variation is the ratio of the standard deviation of returns to the mean return. This ratio is used to compare the risk-to-reward profile of different investments or portfolios. Choice A correctly defines the coefficient of variation as the standard deviation of returns divided by the mean return. Therefore, it is the best choice. Choice B incorrectly multiplies the variance of returns by the mean return. Choice C divides the variance of returns by the standard deviation of returns, which is not the coefficient of variation. Choice D is not a valid answer because one of the options must be correct.

Quiz 22: Real Estate Investment Performance and Portfolio Considerations