An appraiser capitalizes pretax property income I, with property tax excluded from expenses. Annual property tax equals t times value V, and the base capitalization rate R does not include a tax component. Which approach avoids double counting the tax?
Correct Answer
A) V = I ÷ (R + t), without also subtracting the same tax from I.
If annual property tax is treated as t×V and excluded from pretax property income I, then I = (R+t)×V and V = I/(R+t). Do not also deduct the same tax from I. This is a modeling technique, not a universal national or state assessor rule.
Why This Is the Correct Answer
Option A is correct because when I excludes property tax and tax is t × V, then I = (R + t) × V, so V = I ÷ (R + t). Adding the tax rate to R accounts for the tax once, so the same tax must not also be subtracted from I.
Why the Other Options Are Wrong
Option B: Subtract tax from I and also add the full tax rate to R.
Option B is wrong because subtracting the tax from I and also adding the full tax rate to R counts the property tax twice. Only one of these treatments should be used, and this model uses the tax-loaded rate.
Option C: Treat the annual debt service payment as a property tax.
Option C is wrong because annual debt service is a financing payment, not a property tax. Treating debt service as tax mixes financing into the property-level income model and does not address the tax convention.
Option D: Apply the rate R + t to gross income instead of pretax income I.
Option D is wrong because the tax-loaded rate R + t is compatible only with pretax property income I as defined in the model. Applying it to gross income instead would mismatch the income and the rate.
Tax once: income or rate
Property tax goes either in the expenses or in the cap rate, not both.
How to use: Use this check whenever a cap rate is described as tax-loaded.
Exam Tip
When a rate includes an effective tax rate, confirm the income it is applied to excludes property tax.
Common Mistakes to Avoid
- -Deducting property tax from income while also using a tax-loaded rate
- -Treating debt service as an operating expense or tax
- -Applying a tax-loaded rate to gross income
Concept Deep Dive
Analysis
This question tests how to handle property tax when it is modeled as a percentage of value. Because tax equals t times V and is excluded from income I, the tax is loaded into the capitalization rate instead of deducted from income. Doing both would count the tax twice.
Background Knowledge
When property taxes depend on the value being estimated, appraisers can avoid circularity by excluding tax from expenses and adding an effective tax rate to the capitalization rate. The income and rate must follow the same convention. This is a modeling technique, and the convention used should be stated.
Real-World Application
An appraiser values a property where taxes will be reassessed based on the appraised value. Rather than guessing the future tax, the appraiser excludes it from expenses and adds the effective tax rate to the overall rate.
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