Formula
Cap Rate = (Loan-to-Value × Mortgage Constant) + (Equity share × Equity Dividend Rate)
No separate source: the formula follows by arithmetic from the steps below, each with its own basis.
- Mortgage Constant
- Annual debt service divided by the loan amount: the lender's required annual cash return per dollar lent.
- Equity Dividend Rate
- The cash-on-cash return equity investors require in year one.
Where the formula comes from
The cap rate is the year's net operating income divided by the appraised value: R = NOI ÷ V.
Source: Commercial Mortgage Securities Association (now CRE Finance Council), Glossary of Terms: CMBS (updated March 2006) (opens in a new tab), “Capitalization Rate (Cap Rate)”: [I/V = R]
LTV is the ratio of the loan amount to the appraised value, so Loan = LTV × V.
Source: Commercial Mortgage Securities Association (now CRE Finance Council), Glossary of Terms: CMBS (updated March 2006) (opens in a new tab), “Loan-to-Value Ratio (LTV)”
As this course defines the technique, the loan and the equity together make up the value, so Equity = V − Loan = (1 − LTV) × V and the equity share is 1 − LTV; and the year's NOI is exactly enough to pay the lender's annual debt service and the equity's required cash flow: NOI = Debt Service + Equity Cash Flow.
The course's own definition: it cites no published source.
As this course defines it, the mortgage constant is annual debt service divided by the loan amount: MC = Debt Service ÷ Loan.
The course's own definition: it cites no published source.
The equity dividend rate is a cash-on-cash return: the cash flow received divided by the cash equity invested, EDR = Equity Cash Flow ÷ Equity.
Source: Commercial Mortgage Securities Association (now CRE Finance Council), Glossary of Terms: CMBS (updated March 2006) (opens in a new tab), “Cash-on-Cash Return”
Substituting steps 2, 4 and 5 into the premise of step 3: NOI = MC × LTV × V + EDR × (1 − LTV) × V.
Arithmetic on the steps above.
Dividing both sides by V and using step 1: R = (LTV × MC) + ((1 − LTV) × EDR), which is the formula above with Equity share = 1 − LTV.
Arithmetic on the steps above.
How it works
The band of investment treats a cap rate as a weighted average cost of capital for the property. If 65% of the purchase is financed at a 7.5% constant and 35% is equity demanding a 7% cash return, the blended requirement is the cap rate at which the property satisfies both parties simultaneously. It is intuitive, quick, and directly connects financing markets to property pricing.
Its usefulness is greatest as a cross-check rather than a primary conclusion. When market extraction produces a cap rate well below what the band of investment implies, the market is pricing growth expectations that current cash returns do not justify. That divergence is informative: it identifies the portion of pricing that depends on future appreciation rather than on present income.
The technique also explains the mechanism connecting interest rates to property values with unusual clarity. When rates rise, the mortgage constant rises, and since the loan is the larger weight in most capital stacks, the blended requirement rises with it. The property must therefore trade at a higher cap rate (a lower price) to satisfy the same participants. This is the arithmetic behind the observation that rising rates push cap rates up.
Its limitation is that it captures only first-year cash requirements. It ignores principal amortization, which is a return to equity, and it ignores appreciation entirely. In markets where investors accept low current returns in exchange for expected growth, the band of investment will systematically indicate cap rates above where assets actually trade, and that gap is a feature of the technique rather than an error in the market.
Worked example
A property is financed at 65% loan-to-value with a loan at 6.5% over a 30-year amortization. Equity investors require an 8% cash-on-cash return in year one.
| Step | Calculation | Result |
|---|---|---|
| Monthly payment per $1,000,000 of loan | 6.5% over 360 months | $6,320.68 |
| Mortgage constant | $6,320.68 × 12 ÷ $1,000,000 | 7.58% |
| Debt component | 0.65 × 7.58% | 4.93% |
| Equity component | 0.35 × 8.00% | 2.80% |
| Indicated capitalization rate | 4.93% + 2.80% | 7.73% |
The band of investment indicates a 7.73% cap rate. If comparable sales are trading nearer 6.25%, the gap of roughly 150 basis points is the market's implicit assumption about growth and appreciation: buyers are accepting a lower first-year return than this financing structure requires, which means they are underwriting rent growth, cap rate compression, or both. Quantifying that gap is the technique's most valuable output, and it is a better use of it than treating 7.73% as the answer.
Common mistakes
- Using the interest rate instead of the mortgage constant
- On an amortizing loan the constant includes principal as well as interest and is higher than the rate; only on an interest-only loan are the two equal. Substituting the rate understates the debt component of an amortizing loan.
- Treating the result as the concluded cap rate
- Market extraction from comparable sales is the primary evidence. The band of investment is corroboration and, more usefully, a way of measuring what the market is assuming about growth.
- Ignoring that it omits appreciation and amortization
- It measures first-year cash requirements only, so it will indicate higher cap rates than growth markets actually produce.
Frequently asked questions
- What is the band of investment method?
- A technique that derives a capitalization rate as the weighted average of the lender's mortgage constant and the equity investor's required cash return, weighted by the share of the purchase each one funds.
- What is a mortgage constant?
- Annual debt service divided by the original loan amount, expressed as a percentage. On an amortizing loan it is higher than the interest rate because it includes principal amortization as well as interest; on an interest-only loan it equals the rate.
- Is the band of investment reliable?
- It is a useful cross-check rather than a primary method. Because it accounts only for first-year cash requirements and ignores amortization and appreciation, it tends to indicate higher capitalization rates than assets actually trade at in growth markets. Market extraction from verified comparable sales remains the stronger evidence.