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income-approachhard

An appraiser develops a band of investment rates using mortgage-equity analysis for a proposed 100-unit apartment project. She estimates a mortgage constant of 6.25% on a 75% loan-to-value mortgage at 5.5% interest amortized over 30 years, and an equity dividend rate of 9.0% based on investor surveys and comparable equity investments. Using the band-of-investment method, what is the overall capitalization rate (Ro) indicated for the property?

Correct Answer

A) 6.94%

Band-of-investment Ro = (Mortgage Weight × Mortgage Constant) + (Equity Weight × Equity Dividend Rate). Mortgage weight = 75% = 0.75; Equity weight = 25% = 0.25. Ro = (0.75 × 6.25%) + (0.25 × 9.0%) = 4.6875% + 2.25% = 6.9375%, which rounds to 6.94%. This calculation follows the standard band-of-investment formula in the Income Approach (as outlined in the Appraisal Institute's *The Appraisal of Real Estate*, 14th ed., Ch. 17) and is required under USPAP Standards Rule 1-5 for developing supportable capitalization rates when market extraction is limited.

Answer Options
A
6.94%
B
7.44%
C
7.94%
D
8.44%

Why This Is the Correct Answer

Band-of-investment Ro = (Mortgage Weight × Mortgage Constant) + (Equity Weight × Equity Dividend Rate). Mortgage weight = 75% = 0.75; Equity weight = 25% = 0.25. Ro = (0.75 × 6.25%) + (0.25 × 9.0%) = 4.6875% + 2.25% = 6.9375%, which rounds to 6.94%. This calculation follows the standard band-of-investment formula in the Income Approach (as outlined in the Appraisal Institute's *The Appraisal of Real Estate*, 14th ed., Ch. 17) and is required under USPAP Standards Rule 1-5 for developing supportable capitalization rates when market extraction is limited.

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