[Compliance with Laws and Regulations – Valuation: Income Approach] Which is the correct formula for finding the value of a property using a…

The income capitalization approach is a valuation method used to estimate the value of an income-producing property. The core formula for the direct capitalization method is Value = Net Operating Income (NOI) / Capitalization Rate (Rate). Net Operating Income represents the property's annual income after deducting all operating expenses but before debt service and income taxes. The capitalization rate is the rate of return that the market indicates is appropriate for this type of property. Dividing the NOI by the capitalization rate converts the property's income stream into an estimate of its market value.

A. This formula (NOI × Rate) is an incorrect algebraic manipulation. The correct formula to find income, given value and rate, is Income = Value × Rate.

C. Using Potential Gross Income (PGI) is incorrect because it does not account for vacancy, credit losses, or operating expenses, which would result in a significantly inflated and inaccurate valuation.

D. This formula inverts the relationship between the variables. Dividing the rate by the income is a mathematically incorrect application of the direct capitalization principle.

1. North Carolina Real Estate Commission. (2023). North Carolina Real Estate Manual. Chapter 16, Real Property Valuation, pp. 16-18. The manual explicitly states the formula for direct capitalization as: Value = Net operating income (NOI) ÷ Capitalization rate.

2. The Appraisal Institute. (2020). The Appraisal of Real Estate (15th ed.). Chapter 19, Direct Capitalization, p. 440. The text introduces the fundamental relationship as V = I/R, where V is value, I is income (specifically Net Operating Income), and R is the capitalization rate.

3. Geltner, D., Miller, N. G., Clayton, J., & Eichholtz, P. (2013). Commercial Real Estate Analysis and Investments (3rd ed.). Cengage Learning. Chapter 10, "Valuation of Income Properties: The Direct Capitalization Approach," Section 10.2, p. 231. The text defines the direct capitalization formula as: V₀ = NOI₁ / R₀, where V₀ is the value, NOI₁ is the projected first-year Net Operating Income, and R₀ is the capitalization rate.