Capitalization rates in one segment range from 7.8 to 8.2 percent, and in another from 6.0 to 10.5 percent. What does this suggest?
Correct Answer
D) A rate for the first segment can be selected with more confidence
Why this is correct: A rate for the first segment can be selected with more confidence. The governing concept is that a tight range (7.8% to 8.2%) indicates low dispersion, meaning market participants consistently price similar properties, reducing the risk of error when selecting a rate. The wide range in the second segment (6.0% to 10.5%) suggests a heterogeneous market that should be stratified before analysis. Why the other choices are wrong: The second segment offers better investment returns is wrong because a wide range does not indicate better returns; it indicates inconsistency and higher risk. The first segment contains more transactions overall is wrong; the number of transactions is not indicated by the range of rates. The second segment's rates are recorded inaccurately is wrong; a wide range signals market diversity, not necessarily data inaccuracy. Exam tip: A narrow cap rate range signals a consistent, homogeneous market segment, making rate selection more reliable.
Why This Is the Correct Answer
A rate for the first segment can be selected with more confidence because the observed market behavior is consistent, so the risk of choosing badly is small in both probability and consequence. With a range of forty basis points, the difference between the highest and lowest indication changes an indicated value by only a few percent, which means the conclusion is robust to reasonable disagreement about the exact rate. That is what reliability means in practice for rate selection. In the second segment the appraiser can still reach a supportable rate, but only after identifying what distinguishes the six percent transactions from the ten and a half percent ones and locating the subject among those characteristics.
Why the Other Options Are Wrong
Option A: The second segment offers better investment returns
A wider range of rates is a statement about dispersion, not about achieved returns, and the segment containing both the lowest and the highest rate in the study cannot be said to offer better returns overall. Higher rates in part of a sample generally accompany higher risk, so reading a wide range as an opportunity confuses compensation for risk with superior performance.
Option B: The first segment contains more transactions overall
Range describes the distance between the extreme values and is silent about how many observations produced them, since two sales or two hundred can generate the same range. A tight range in fact often comes from a thin, narrowly defined segment, so inferring transaction count from spread has the relationship backwards as often as not.
Option C: The second segment's rates are recorded inaccurately
Wide dispersion is normal in heterogeneous segments and is evidence about the market rather than about the recordkeeping. Data errors do occur and outliers should be verified, but the default interpretation of a broad range is that the sample mixes properties with genuinely different risk and growth profiles.
Tight Cluster, Easy Pick
When the market agrees with itself, any rate in the cluster works. When the market disagrees with itself, the disagreement is the finding, and your job is to explain it before you pick.
How to use: For any dispersion question, translate the spread into its effect on the value conclusion. A narrow spread means the choice hardly matters, which is the definition of confidence, and a wide spread means the segment needs to be split.
Exam Tip
Do not confuse a statement about the reliability of an estimate with a statement about the level of the estimate; exam distractors on statistics items frequently swap the two.
Common Mistakes to Avoid
- -Averaging a widely dispersed set of rates instead of stratifying it
- -Treating range as a proxy for sample size or for data quality
- -Selecting a rate from the middle of a broad range with no explanation of what drives the spread
- -Discarding high or low observations as errors without verifying them
Concept Deep Dive
Analysis
This tests what dispersion in a data set tells the appraiser about the reliability of a selected value. Range is the crudest measure of dispersion, but here it is dramatic: forty basis points of spread in the first segment against four hundred fifty in the second. A tight cluster means the market is pricing those properties consistently, which implies the segment is genuinely homogeneous in the characteristics that drive risk and growth, so any rate inside the cluster is close to any other and the choice barely moves the value conclusion. A wide spread means something inside the sample is varying in a way the segment definition has not captured, such as tenant credit, lease term remaining, location quality, condition, or property subtype. The professional response to a wide spread is not to average it but to stratify the data until the subgroups become coherent, or to explain what drives the variation and place the subject within it.
Background Knowledge
You need to know basic measures of dispersion, including range, standard deviation, and coefficient of variation, and that dispersion speaks to reliability while central tendency speaks to the estimate itself. You should also know that stratifying a heterogeneous data set into homogeneous subgroups is the standard remedy for wide dispersion.
Real-World Application
You gather twelve capitalization rates for neighborhood retail and find them scattered from six to ten and a half percent. Sorting them, you discover the low rates all involve single-tenant properties with national credit and long remaining lease terms while the high rates involve multi-tenant strips with short-term local tenancies. You stratify accordingly, report both subgroups, place the subject with the multi-tenant group, and select a rate from that narrower cluster.
More Statistics Questions
A set of comparable sales has a mean of $250,000 and a standard deviation of $20,000. What is the coefficient of variation?
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A histogram of neighborhood sale prices shows two distinct peaks. What does this most likely mean?
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