What Is a Fair Price to Pay? Direct Cap, DCF, Mortgages & Risk
How to price a real estate asset. Direct capitalization (Value = NOI ÷ Cap Rate) and the three conditions that make it reliable; deriving cap rates by market extraction, band of investment, and the built-up method, with the Gordon Growth decomposition R = Y − g; building the unlevered DCF for a 60-unit multifamily; defending the terminal value; pricing commercial mortgages with the same machinery — payments, balances, balloons, lender’s yield, and effective borrowing cost; the eight real estate risks and their management levers; and the levered return metrics — IRR, equity multiple, and cash-on-cash — that measure what equity actually earns.
165 min
22
35
3
Learning Objectives
By the end of this chapter you should be able to:
- 1Price a stabilized property with direct capitalization: apply Value = NOI ÷ Cap Rate and state the three conditions under which the shorthand is reliable.
- 2Decompose the cap rate: derive cap rates from market extraction, the band of investment, and the built-up method, and explain cap rate movements with R = Y − g.
- 3Build an unlevered DCF: forecast cash flow before debt service, discount it at a defensible rate, and value the module’s 60-unit multifamily property.
- 4Defend the terminal value: estimate the reversion with exit cap rates and the Gordon Growth perpetuity, and sensitize the single assumption that drives most of the value.
- 5Price commercial debt with the same machinery: compute loan payments, balances, lender’s yield, and effective borrowing cost, and select among permanent and alternative loan structures.
- 6Run the risk checklist: classify the eight real estate risks, match each to its primary management lever, and state what Monte Carlo simulation adds beyond scenario analysis.
- 7Measure equity outcomes: compute levered IRR, equity multiple, and cash-on-cash return, and predict how leverage transforms each.
- 8Reconcile and judge: cross-check direct capitalization, DCF, and comparable sales, and defend the assumptions an investment committee will attack.
Part One: Value = NOI ÷ Cap Rate. Section 1 of 22.
Part One · A Single Year of Income Can Directionally Price a Property
Value = NOI ÷ Cap Rate
Part One
A Single Year of Income Can Directionally Price a Property
Direct capitalization is one of the most widely used valuation methods in commercial real estate, especially for stabilized income-producing properties. The formula is simple: divide a property’s net operating income by an appropriate capitalization rate.
Value = NOI ÷ Cap Rate
The formula is simple: divide a property's net operating income by an appropriate capitalization rate.
Value = NOI ÷ Cap Rate equivalently NOI = Value × Cap Rate
A property generating $500,000 in NOI valued at a 5.0% cap rate is worth $500,000 ÷ 0.050 = $10,000,000. The same property valued at a 6.5% cap rate is worth $500,000 ÷ 0.065 = $7,692,308. That 150-basis-point difference in cap rate produces a value difference of about $2.3 million. This sensitivity is one of the first things students should internalize: small changes in cap rates can produce large changes in value.
What a Cap Rate Represents
A capitalization rate is the ratio between a property's NOI and its value or purchase price. It reflects the market's pricing of a particular income stream, based on risk, growth expectations, asset quality, lease durability, capital-market conditions, and investor demand. It is often described as the real estate equivalent of an earnings yield, or the inverse of a price-to-income multiple. A lower cap rate means a higher price relative to current income — that may reflect lower perceived risk, stronger expected income growth, better asset quality, more durable cash flow, or stronger buyer demand.
A cap rate is not the same as an investor's total return. It is a snapshot ratio of current or stabilized NOI to current value. An investor who buys a property at a 6.0% cap rate may earn more or less than 6.0% depending on future income growth, capital expenditures, financing, holding period, and exit price. The cap rate does not capture all of those dynamics. It captures the relationship between income and value at a point in time.
Try the cap-rate toolkit. Direct capitalization (Value = NOI ÷ Cap Rate), the band-of-investment build, and the Gordon Growth decomposition R = Y − g — all live. Defaults reproduce the chapter examples ($500,000 NOI at 5.0% → $10.0M; the 65/35 band → 7.7%).
Interactive Tool
Cap Rate Toolkit — Direct Cap · Band of Investment · R = Y − g
Direct capitalization
Value = NOI ÷ Cap
$10,000,000
Band of investment
Indicated cap rate
7.72%
implies $6,472,492 on this NOI
Gordon Growth: R = Y − g
Implied cap rate (R)
4.5%
implies $11,111,111 on this NOI
Check Your Understanding
Knowledge Check 1
Direct capitalization value range
An appraiser is valuing a stabilized suburban office building with $500,000 in stabilized NOI. Comparable sales support cap rates between 5.0% and 6.5%. What value range is implied by the comparables?