Ch2. Real Estate Value Theory — Land Rent, Price Principles, and Appraisal Methods

Characteristics of Real Estate Value

Real Estate Value = the monetary expression of utility and desirability

How it differs from general consumer goods:

Value is highly individualized — no standard price list
Long economic life (durable asset)
Location-dependent — identical structures have different values based on situs
Strongly influenced by psychology, policy, and expectations

Land Rent Theories

Ricardo’s Differential Rent Theory

Land that is more fertile or better located generates surplus income compared to the least productive land in use.

Differential Rent = Revenue from superior land − Revenue from marginal land

Superior land → greater productivity → differential rent accrues to the landowner.

Alonso’s Bid-Rent Theory

Closer to the urban center, transportation costs fall, so firms and households can bid more for land — driving up land prices near downtown.

Bid Rent = Total Revenue − Production Costs − Required Profit − Transportation Cost

City center: low transportation cost → high bid rent → high land prices
Suburbs: high transportation cost → lower bid rent → lower land prices

Principles of Real Estate Value

Principle	Description
Supply and Demand	Prices are determined by interaction of supply and demand
Competition	Excess profit attracts competition, which erodes it
Change	Real estate values change over time
Anticipation	Present value reflects expected future benefits
Substitution	A buyer won’t pay more than the cost of a comparable substitute
Highest and Best Use	The use that produces the maximum value is the basis for appraisal
Contribution	A component’s value equals what it adds to the whole
Increasing/Decreasing Returns	Adding inputs increases value to a point, then returns diminish

The Three Approaches to Value (Appraisal)

Cost Approach

Estimates value based on the cost to reproduce or replace the improvements, minus depreciation, plus land value.

Indicated Value = Land Value + (Reproduction/Replacement Cost − Depreciation)

Depreciation rate = Age ÷ Economic Life

Best used for: Special-use properties (schools, churches), new construction, insurance valuations.

Sales Comparison Approach (Market Approach)

Adjusts the sale prices of comparable properties (comps) to estimate the subject property’s value.

Indicated Value = Comp Sale Price × Conditions of Sale Adj × Market Conditions Adj
                  × Location Adj × Physical Characteristics Adj

Best used for: Single-family homes; any property type with sufficient comparable sales data.

Income Approach (Capitalization Approach)

Converts a property’s income stream into a value estimate.

Value = NOI ÷ Cap Rate

DCF (Discounted Cash Flow): PV = Σ NOI_t / (1+r)^t + Reversion Value / (1+r)^n

Best used for: Income-producing properties — office, retail, apartments, industrial.

The Three Approaches to Appraisal ★★★★★ : Cost Approach (reproduction/replacement minus depreciation), Sales Comparison (comps), Income Approach (capitalization). Appraisers use all three and reconcile the results. Memory tip: Cost — Sales — Income (CSI)

Highest and Best Use ★★★★★ : The legally permissible, physically possible, financially feasible use that produces the maximum value. All appraisals are anchored to HBU. Memory tip: HBU = maximum value, not current use

Bid-Rent Theory ★★★★☆ : Land near urban centers commands higher rents because proximity reduces transportation costs. This explains concentric land-use patterns in cities. Memory tip: Closer to center → lower transport cost → higher bid rent

Practice Quiz

Q. An office building generates annual NOI of $500,000. The market cap rate is 5%. What is its indicated value using the income approach?

Value = $500,000 ÷ 0.05 =$ 10,000,000.

Q. A building was purchased 5 years ago. Its economic life is 40 years and the reproduction cost is $800,000. What is the indicated value using the cost approach (straight-line depreciation)?

Depreciation rate = 5 ÷ 40 = 12.5%. Depreciated cost = $800,000 × (1 − 0.125) =$ 700,000. Add land value separately.