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A local mill closes and area rents fall 8%. For an income-producing subject, external obsolescence can be estimated by:

Correct Answer

B) Capitalizing the rent loss attributable to the change

Why this is correct: External obsolescence is a loss in value from outside forces. The rent loss (8%) is an income shortfall. Capitalizing that loss (Rent Loss / Capitalization Rate) converts it into an estimate of the total value diminishment attributable to the external cause. Why the other choices are wrong: Adding 8% to replacement cost would increase value, not account for a loss. Depreciating site value by 8% is incorrect; external obsolescence can affect improvements, not just land. Extending economic life is unrelated to an income loss. Exam tip: To quantify external obsolescence from an income drop: (Rent Loss) / (Cap Rate) = Value Loss.

Answer Options
A
Adding 8% to the improvements' replacement cost
B
Capitalizing the rent loss attributable to the change
C
Depreciating the site value by the same 8%
D
Extending the building's estimated remaining economic life

Why This Is the Correct Answer

Capitalizing the rent loss attributable to the external change converts a recurring income reduction into the present value of the loss, which is what obsolescence measures. The technique is standard for external obsolescence on income-producing property and rests on observable market rents rather than on cost. The resulting figure is then allocated between site and improvements before being deducted in the cost approach. Paired sales comparing affected and unaffected areas provide a useful cross-check.

Why the Other Options Are Wrong

Option A: Adding 8% to the improvements' replacement cost

Adding to replacement cost would increase the improvement value rather than reduce it, moving the calculation in exactly the wrong direction. Obsolescence is a deduction from cost new, never an addition. The option appears to invert the operation while keeping the correct percentage.

Option C: Depreciating the site value by the same 8%

Depreciating site value by the same percentage assumes the entire loss falls on the land, which is an allocation rather than a measurement and is not established by any fact in the stem. External obsolescence commonly affects both land and improvements, and the split must be reasoned rather than assumed. Applying a rent-derived percentage directly to land value also mismatches the measure to the asset.

Option D: Extending the building's estimated remaining economic life

Remaining economic life is the period over which improvements will continue to contribute to value, and a market downturn would if anything shorten it rather than extend it. Extending it would increase the improvement value, again moving the wrong way. Economic life is not a vehicle for recording an income loss.

Turn the Annual Loss Into a Lump

External forces show up as income the property no longer earns. Multiply to find the annual shortfall, divide by a rate to turn it into a present sum, then decide how much of that sum belongs to the land.

How to use: When a stem gives a percentage rent decline and an income property, answer capitalize the rent loss. Then remember the allocation step and the double-counting check against how site value was derived.

Exam Tip

Check the source of the site value before deducting. If land comparables came from the same affected market, part of the loss is already inside that figure and deducting it again double counts.

Common Mistakes to Avoid

  • -Deducting external obsolescence from improvements when site value already reflects it
  • -Assuming the entire external loss falls on either the land or the improvements
  • -Measuring external obsolescence from cost figures rather than from market income evidence

Concept Deep Dive

Analysis

External obsolescence is a loss in value caused by forces outside the property boundaries, and when the subject produces income the most direct way to measure it is through the income the property lost. A mill closing that drives area rents down 8 percent is an economic cause, and its effect on an income property is a permanent reduction in the rent stream. The technique converts that annual shortfall into a capital sum: multiply the subject's rent by the percentage lost to get the annual rent loss, then capitalize that loss at an appropriate rate to obtain the present value of the diminished income. Two refinements follow. The loss should be computed on net operating income terms where possible, since some expenses may also change, and the resulting figure must be allocated between land and improvements, because external obsolescence can attach to both. The allocation matters because the cost approach deducts obsolescence from the improvements while site value is estimated separately, and if the site value came from land comparables in the same affected market the loss is already partly captured there.

Background Knowledge

You need the three categories of depreciation and the locational and economic subdivisions of external obsolescence, plus the two standard measurement techniques of capitalizing rent loss and paired sales analysis. You should also know that external obsolescence is generally incurable and that it may attach to land, improvements, or both.

Real-World Application

An appraiser in a mill town computes the annual rent shortfall on a small apartment building, capitalizes it at a market rate to obtain the value loss, allocates it between site and improvements based on their relative contributions, and confirms her land comparables came from an unaffected submarket.

external obsolescencecapitalized rent losseconomic obsolescenceaccrued depreciation
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