Ch3. Real Estate Investment Analysis — Return Calculations and Risk Assessment

Characteristics of Real Estate Investment

Advantages:

Hard asset — hedge against inflation
Leverage (financing) amplifies equity returns
Rental income provides ongoing cash flow
Potential for long-term capital appreciation

Risks:

Liquidity risk — hard to sell quickly without a discount
Market risk — values fall with economic downturns
Operating risk — vacancies, problem tenants, deferred maintenance
Interest rate risk — rising rates increase debt costs and compress values
Legislative risk — tax changes, rent control, zoning shifts

Real Estate Return Calculations

Income Return (Rental Yield)

Gross Rental Yield = Annual Rental Income ÷ Purchase Price × 100%

Net Rental Yield = (Annual Rental Income − Operating Expenses) ÷ Purchase Price × 100%

Capital Return

Capital Return = (Sale Price − Purchase Price) ÷ Purchase Price × 100%

Total Return

Total Return = Income Return + Capital Return

Net Operating Income (NOI)

NOI: The income generated by a property after operating expenses but before debt service and taxes.

Potential Gross Income (PGI)
  − Vacancy and Credit Loss
= Effective Gross Income (EGI)
  + Other Income
  − Operating Expenses (OE)
= Net Operating Income (NOI)
  − Debt Service (DS)
= Before-Tax Cash Flow (BTCF)

Leverage Effect

Using debt financing to amplify equity returns.

Example:
Purchase price: $1,000,000
Equity: $300,000
Loan: $700,000 at 4% interest

NOI = $30,000/year
Interest = $700,000 × 4% = $28,000
Before-tax cash flow = $30,000 − $28,000 = $2,000

Cash-on-Cash Return (unleveraged) = $30,000 ÷ $300,000 = 10%
Cash-on-Cash Return (leveraged) = $2,000 ÷ $300,000 ≈ 0.67%

Positive leverage: Loan interest rate < overall property yield → equity return exceeds unlevered return
Negative leverage: Loan interest rate > overall property yield → equity return falls below unlevered return

Mortgage Underwriting Ratios

LTV (Loan-to-Value Ratio)

LTV = Loan Amount ÷ Appraised Value × 100%

Limits the loan relative to collateral value. LTV of 80% = $800,000 max loan on a$ 1,000,000 property.

DTI (Debt-to-Income Ratio)

DTI = Monthly Debt Payments ÷ Gross Monthly Income × 100%

Measures ability to service debt from income. Conventional lending commonly requires DTI ≤ 43–45%.

DSCR (Debt Service Coverage Ratio — commercial)

DSCR = NOI ÷ Annual Debt Service

Used on income-producing properties. Lenders typically require DSCR ≥ 1.20–1.25.

Investment Analysis Metrics

Net Present Value (NPV) = Σ[CF_t ÷ (1+r)^t] − Initial Investment
  → Accept if NPV > 0

Internal Rate of Return (IRR) = Discount rate that sets NPV = 0
  → Accept if IRR > required return

Profitability Index (PI) = PV of Cash Flows ÷ Initial Investment
  → Invest if PI > 1.0

Payback Period = Initial Investment ÷ Annual Cash Flow
  → Shorter is better; ignores time value of money

Key Concept Cards

DSCR (Debt Service Coverage Ratio) ★★★★★ : NOI divided by annual debt service. A DSCR below 1.0 means the property cannot cover its own debt. Lenders require 1.20+ for most commercial loans. Memory tip: DSCR = NOI ÷ debt service; must exceed 1.0 to break even

Positive Leverage ★★★★★ : When the overall return on the property exceeds the cost of borrowed funds, leverage boosts the equity investor’s return. Memory tip: Property yield > interest rate = positive leverage

NOI (Net Operating Income) ★★★★☆ : Effective gross income minus operating expenses. Excludes debt service and income taxes. The foundation for both cap rate valuation and DSCR analysis. Memory tip: NOI = income from operations before debt

Practice Quiz

Q. A retail strip center generates $48,000 in annual rent. The purchase price is$ 800,000. What is the gross rental yield?

$48,000 ÷$ 800,000 × 100% = 6%.

Q. A property appraised at $500,000. The lender requires LTV ≤ 75%. What is the maximum loan amount?

$500,000 × 75% =$ 375,000.

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