A property is financed with a $400,000 loan at 6% interest and $200,000 equity at a 12% required return. Using band of investment, what is the overall capitalization rate?
Correct Answer
A) 8.0%
Band of investment: (Loan ratio × Loan rate) + (Equity ratio × Equity rate) = (2/3 × 6%) + (1/3 × 12%) = 4% + 4% = 8.0%.
Why This Is the Correct Answer
Option A (8.0%) is correct because it properly applies the band of investment formula. The total property value is $600,000 ($400,000 loan + $200,000 equity), making the loan-to-value ratio 2/3 and equity ratio 1/3. The calculation is: (2/3 × 6%) + (1/3 × 12%) = 4% + 4% = 8.0%. This weighted average reflects the blended cost of capital for this specific financing structure.
Why the Other Options Are Wrong
Option B: 9.0%
Option B (9.0%) is incorrect because it represents an improper calculation of the weighted average. This might result from incorrectly weighting the components or making arithmetic errors in the band of investment formula.
Option C: 6.0%
Option C (6.0%) is incorrect because it only represents the mortgage interest rate component without considering the equity return requirement. This ignores the equity portion of the financing structure entirely.
Option D: 12.0%
Option D (12.0%) is incorrect because it only represents the equity return rate without considering the debt component. This would ignore the leverage effect of mortgage financing on the overall capitalization rate.
WELD Method
WELD: Weight × Each component, then Link (add) for total, giving you the Desired cap rate. Remember: Weight the debt rate + Weight the equity rate = Overall cap rate.
How to use: When you see a band of investment question, immediately identify the WELD components: calculate the Weight of each financing source, multiply Each by its rate, Link (add) them together for the Desired overall cap rate.
Exam Tip
Always calculate the total property value first ($400K + $200K = $600K), then determine ratios (loan: 400/600 = 2/3, equity: 200/600 = 1/3) before applying rates.
Common Mistakes to Avoid
- -Forgetting to calculate total property value before determining ratios
- -Using dollar amounts instead of percentages in the formula
- -Confusing which rate applies to debt versus equity components
Concept Deep Dive
Analysis
The band of investment technique is a fundamental method for deriving overall capitalization rates in real estate valuation. It calculates the weighted average cost of capital by considering both debt and equity financing components of a property investment. The method recognizes that properties are typically financed through a combination of borrowed funds (mortgage) and owner equity, each requiring different rates of return. This technique is essential for income approach valuations as it provides a market-supported capitalization rate that reflects the actual financing structure of real estate investments.
Background Knowledge
The band of investment technique requires understanding that real estate investments typically involve both debt and equity financing, each with different required rates of return. The overall capitalization rate must reflect the weighted average cost of both financing components based on their respective proportions of the total property value.
Real-World Application
Appraisers use band of investment when comparable sales data is limited or when they need to support their capitalization rate selection. Lenders and investors rely on this method to ensure the cap rate reflects current market financing conditions and required returns.
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