EGI is $286,000 and the market expense ratio for this property type is 38%. Indicated NOI is:
Correct Answer
D) $177,320
Why this is correct: The market expense ratio of 38% means expenses are 38% of Effective Gross Income (EGI). Therefore, the Net Operating Income (NOI) is the remaining 62% of EGI. The calculation is: NOI = EGI * (1 - expense ratio) = 286,000 * (1 - 0.38) = 286,000 * 0.62 = 177,320. Why the other choices are wrong: "$752,632, dividing EGI by the ratio" incorrectly divides EGI by 0.38, which would estimate property value, not NOI. "$108,680, the expense amount itself" calculates the expense (286,000 * 0.38) but incorrectly presents it as NOI. "$394,680, adding the ratio to EGI" adds 38% of 286,000 to 286,000, which is not a standard income approach calculation. Exam tip: Remember NOI = EGI - Expenses. When given an expense ratio, convert it to a net income ratio (1 - expense ratio) and multiply by EGI.
Why This Is the Correct Answer
If expenses take 38 percent of effective gross income, net operating income is the remaining 62 percent, so $286,000 times 0.62 gives $177,320. The same answer comes from computing expenses of $108,680 and subtracting them, which is a useful way to check the arithmetic. The single-step version is faster and less error prone under time pressure. Choice D is the only figure consistent with either route.
Why the Other Options Are Wrong
Option A: $752,632, dividing EGI by the ratio
Dividing income by a rate is a capitalization operation and produces something in the nature of a value, not an income figure, which is why the result is nearly three times effective gross income. A property cannot net more than it collects, so this answer fails a basic reasonableness test before any arithmetic. Confusing division by a rate with multiplication by a ratio is the error being probed.
Option B: $108,680, the expense amount itself
This is the expense amount itself, $286,000 times 0.38, offered as though it were the remainder. Computing the correct intermediate figure and then reporting it as the answer is one of the most common ways candidates lose points on ratio questions. The check is simple: net operating income must be the larger share when the expense ratio is under 50 percent.
Option C: $394,680, adding the ratio to EGI
Adding 38 percent of effective gross income to effective gross income produces a figure larger than gross collections, which no operating statement can support. The direction is reversed, since expenses are deducted and never added. Any answer exceeding effective gross income can be eliminated on sight.
Keep the Complement
The expense ratio tells you what leaves; its complement tells you what stays. Thirty-eight out means sixty-two stays, so multiply by what stays and skip the subtraction entirely.
How to use: Convert the expense ratio to its complement before touching the calculator, then multiply once. Sanity check that your answer is smaller than effective gross income and larger than the expense figure.
Exam Tip
Bound the answer before choosing. Net operating income always lies between zero and effective gross income, which usually eliminates two options immediately.
Common Mistakes to Avoid
- -Multiplying by the expense ratio instead of its complement
- -Applying a market expense ratio without checking how reserves and lease structures were treated
- -Using a ratio in place of an itemized expense analysis when the property's actual costs are available
Concept Deep Dive
Analysis
An operating expense ratio expresses total operating expenses as a percentage of effective gross income, and its complement, the net income ratio, is what converts effective gross income directly into net operating income. Because the two ratios sum to one, an expense ratio of 38 percent means 62 percent of effective gross income survives as net operating income, and the calculation is a single multiplication. The technique is a legitimate check on a reconstructed operating statement, particularly where the appraiser has market data on how similar properties perform, but it is only as good as the consistency of the definitions behind it. Ratios extracted from properties on triple net leases are not comparable to ratios from gross-leased properties, ratios that exclude reserves overstate net income relative to ratios that include them, and ratios drawn from a different property class or age will not transfer. Used carefully it tests whether an expense estimate is plausible; used carelessly it substitutes an average for the analysis of this property's actual costs.
Background Knowledge
You need the operating expense ratio and net income ratio and the fact that they sum to one, plus the placement of effective gross income and net operating income in the reconstructed operating statement. You should also know the comparability conditions that make a market expense ratio usable, including consistent treatment of reserves, similar lease structures, and comparable property type, age, and class.
Real-World Application
An appraiser with only two years of owner-supplied statements for a suburban office building compares his reconstructed 41 percent expense ratio against a market range of 36 to 40 percent for similar buildings, finds the owner's repairs line includes a capital roof replacement, reclassifies it, and lands at 38 percent.
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