Using the band of investment method, if the mortgage component is 75% at 6% and the equity component is 25% at 12%, what is the overall capitalization rate?
Correct Answer
B) 7.5%
Overall cap rate = (Mortgage % × Mortgage rate) + (Equity % × Equity rate). (0.75 × 6%) + (0.25 × 12%) = 4.5% + 3.0% = 7.5%.
Why This Is the Correct Answer
Option B (7.5%) correctly applies the band of investment formula by multiplying each component's percentage by its respective rate and summing the results. The calculation is: (75% × 6%) + (25% × 12%) = 4.5% + 3.0% = 7.5%. This weighted average approach properly reflects that the majority of the investment (75%) is financed at the lower mortgage rate of 6%, while the smaller equity portion (25%) requires a higher return of 12%. The resulting 7.5% overall cap rate logically falls between the two component rates, weighted toward the mortgage rate due to its larger proportion.
Why the Other Options Are Wrong
Option A: 9.0%
Option A (9.0%) represents the simple arithmetic average of the two rates (6% + 12% ÷ 2 = 9%), which ignores the weighting of each component and incorrectly treats both financing sources as equal proportions.
Option C: 6.0%
Option C (6.0%) only considers the mortgage rate and completely ignores the equity component, failing to account for the blended nature of the financing structure.
Option D: 18.0%
Option D (18.0%) appears to be the sum of both rates (6% + 12% = 18%), which is mathematically incorrect and doesn't apply any weighting methodology.
WHAM Formula
WHAM = Weight × Amount = Money. For each component: Weight (percentage) × Amount (rate) = Money (contribution to overall rate). Then add all contributions together.
How to use: When you see a band of investment question, think WHAM and set up two calculations: Mortgage WHAM + Equity WHAM = Total Cap Rate. This ensures you weight each component properly rather than just averaging the rates.
Exam Tip
Always verify your answer makes logical sense - the overall cap rate should fall between the mortgage and equity rates, and be closer to whichever component has the higher percentage weighting.
Common Mistakes to Avoid
- -Taking a simple average of the rates without considering the weightings
- -Forgetting to convert percentages to decimals in calculations
- -Adding the rates together instead of calculating weighted contributions
Concept Deep Dive
Analysis
The band of investment method is a fundamental technique for deriving overall capitalization rates by analyzing the weighted cost of capital from different financing sources. This method recognizes that real estate investments are typically financed through a combination of debt (mortgage) and equity, each carrying different required rates of return. The overall capitalization rate represents the blended cost of capital, weighted by the proportion of each financing component. This approach is particularly useful when market data for comparable sales is limited, as it builds the cap rate from financing fundamentals rather than relying solely on market extraction.
Background Knowledge
The band of investment method is based on the principle that the overall return required by an investor must compensate for both the cost of borrowed funds and the return expected by equity investors. Mortgage financing typically carries lower rates due to the security of the real estate collateral, while equity investors demand higher returns to compensate for greater risk and lack of security.
Real-World Application
Appraisers use this method when valuing income-producing properties like apartment buildings or office complexes, especially when comparable sales data is scarce but financing terms and equity return expectations are known from market surveys and lender information.
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