Financial Modeling & Analytics

Chapter 2
Accounting, Financial Statements and Property Performance

Post Graduate Program in Real Estate Management
Financial Modeling & Analytics   •   Post Graduate

Accounting, Financial Statements and Property Performance

Introduction

Financial modeling in real estate begins with the disciplined interpretation of accounting records. A property model is only as reliable as the historical information used to construct it. Income statements, balance sheets, cash-flow statements, rent rolls and operating statements each describe a different dimension of performance. The analyst’s task is not merely to read reported numbers, but to understand their economic meaning, identify distortions, normalize earnings and reconcile accounting results with property-level cash generation.

Real estate analysis is complicated by the coexistence of several measurement systems. Financial statements are generally prepared under an accounting framework such as IFRS or US GAAP, while investors frequently evaluate a property using net operating income (NOI), capitalization rates, funds from operations (FFO), adjusted funds from operations (AFFO), debt-service coverage and levered cash flow. These measures are related but not interchangeable. A sound analyst must preserve the distinctions among accounting profit, operating performance, taxable income, distributable cash and valuation metrics.

This chapter develops a framework for interpreting these records and converting them into decision-useful information for acquisition, asset management, valuation and portfolio reporting.

Learning Objectives

By the end of this chapter, the reader should be able to:

  1. Explain the purpose and structure of the income statement, balance sheet and cash-flow statement.
  2. Interpret rent rolls and property operating statements.
  3. Distinguish revenue, expenses, NOI, EBITDA, accounting profit, FFO and cash flow.
  4. Normalize earnings for non-recurring, non-cash and owner-specific items.
  5. Reconcile property-level performance with entity-level financial statements.
  6. Assess data quality, accounting judgments and governance risks in financial models.
  7. Apply these concepts to an acquisition and operating-performance case.

1. The Accounting Architecture of a Real Estate Business

A real estate enterprise may contain individual properties, special-purpose entities, a management company, financing entities and a parent company. The same economic event can therefore appear at several levels. Rent is earned by a property-owning entity, management fees may be paid to an affiliated company, interest is recorded by the borrower, and consolidated statements eliminate transactions between entities.

The three primary financial statements are linked through the accounting equation:

Assets = Liabilities + Equity

Assets are resources controlled by the entity, liabilities are present obligations, and equity is the residual interest. The equation must balance at every reporting date, but a balanced statement is not necessarily an economically accurate statement. Valuation assumptions, impairment judgments, capitalization policies and related-party transactions can materially influence reported amounts.

The income statement measures performance over a period. The balance sheet reports financial position at a point in time. The cash-flow statement explains movements in cash during the period. A rent roll and property operating statement provide more granular operating evidence than consolidated financial statements.

Accrual and cash perspectives

Under accrual accounting, revenue is recognized when earned and expenses when incurred, rather than when cash is received or paid. Consequently, accounting profit differs from cash flow. A tenant’s unpaid rent may be recognized as revenue and later impaired; a prepaid expense may reduce cash before it becomes an accounting expense; and depreciation reduces profit without reducing current-period cash.

Cash accounting is more intuitive for liquidity analysis, but accrual accounting better matches revenues with the resources used to generate them. Real estate analysts therefore need both perspectives: accrual information for operating measurement and cash information for financing capacity, distributions and solvency.

2. Reading the Income Statement

A typical property or real estate company income statement contains the following layers:

LayerTypical itemsAnalytical purpose
RevenueBase rent, percentage rent, service income, parking and reimbursementsMeasures earning capacity
Direct operating expensesProperty taxes, insurance, utilities, repairs, payroll and management feesMeasures property operating burden
NOI or operating profitRevenue less property operating expensesCore property performance
Corporate and other expensesGeneral and administrative costs, acquisition costsMeasures platform or ownership burden
FinancingInterest expense and financing feesMeasures capital-structure cost
Non-cash itemsDepreciation, amortization, fair-value changesSeparates accounting from current cash effects
TaxCurrent and deferred taxMeasures tax expense under applicable law
Net incomeResidual accounting profitOverall accounting outcome

For a stabilized property, recurring rental revenue is usually the dominant component. Analysts should separately identify contractual rent, straight-line rent, lease incentives, recoveries and other income. Combining these categories can conceal deteriorating collections or unusual sources of revenue.

Net operating income

NOI is a property-level performance measure rather than a universally prescribed accounting subtotal. A common formulation is:

NOI = Effective Gross Income − Property Operating Expenses

Effective gross income generally includes contractual rent after vacancy and credit loss, plus recurring ancillary income and recoveries. Property operating expenses are costs necessary to operate the asset, such as taxes, insurance, utilities, repairs and property management.

NOI normally excludes interest, income taxes, depreciation and amortization, corporate overhead, acquisition costs and capital expenditures. The exact definition must be documented because lenders, investors and valuation professionals may use different conventions. For example, some analysts deduct recurring replacement reserves from NOI, while others present reserves below NOI.

NOI is useful because it is relatively independent of financing structure. It is not free cash flow: it does not normally include debt service, leasing commissions, tenant improvements, capital expenditures or changes in working capital.

EBITDA and EBITDAre

EBITDA means earnings before interest, taxes, depreciation and amortization. It is often used for companies, but property-level NOI is generally more directly relevant to real estate assets. EBITDAre, used in the real estate sector, typically adjusts EBITDA for gains or losses from property sales, impairment and certain property-related items. Definitions vary, so comparisons require a reconciliation rather than reliance on the label alone.

3. The Balance Sheet and Property Value

A real estate balance sheet commonly includes land, buildings, construction in progress, investment properties, receivables, cash, debt, payables, deferred revenue and equity.

Investment property and measurement basis

Under applicable accounting standards, investment property may be measured using a cost model or a fair-value model. Under a cost model, depreciation and impairment are central. Under a fair-value model, changes in estimated market value may pass through profit or loss. A fair-value gain increases accounting income but does not represent operating cash generated during the period.

The analyst must determine:

  • whether property values are externally appraised or internally estimated;
  • whether valuation assumptions reflect market rents, occupancy and capitalization rates;
  • whether properties are held for investment, development or sale;
  • whether debt is measured at amortized cost or fair value; and
  • whether restricted cash and tenant deposits are included appropriately.

A simplified property value relationship is:

Value = NOI₁ ÷ Capitalization Rate

where NOI1 is expected forward one-year NOI and the capitalization rate is the required unlevered return implied by market evidence. This is a valuation convention, not an accounting identity. It assumes that NOI is consistently defined, the asset is reasonably stabilized and the capitalization rate is appropriate for the property’s risk, growth and location.

A lower capitalization rate produces a higher value, all else equal. However, using current NOI for a property with temporary vacancy or unusually low repairs can produce a misleading value. Normalization is therefore essential.

Leverage and solvency indicators

Debt-to-value is commonly expressed as:

LTV = Total Property Debt ÷ Property Value

Debt-service coverage ratio is commonly expressed as:

DSCR = NOI or Cash Flow Available for Debt Service ÷ Debt Service

The numerator must be specified. A lender may use NOI, while another may deduct reserves and recurring capital expenditures. The denominator generally includes scheduled interest and principal payments for the measurement period. A ratio above 1.0 indicates that the specified numerator exceeds debt service, but it does not by itself establish adequate liquidity.

4. The Cash-Flow Statement

The cash-flow statement classifies cash movements into operating, investing and financing activities.

Operating activities

Operating cash flow includes cash collected from tenants and cash paid for operating expenses, taxes, payroll and other operating items. Under the indirect method, the statement begins with net income and adjusts for non-cash items and working-capital movements.

A simplified reconciliation is:

Operating Cash Flow = Net Income + Non-cash Expenses − Non-cash Income ± Working Capital Adjustments

The signs of working-capital adjustments depend on the account. An increase in accounts receivable generally reduces cash relative to revenue because revenue has been recognized without collection. An increase in accounts payable generally increases cash because expenses have been recognized without payment.

Investing activities

Investing cash flow includes property acquisitions, development spending, capital improvements and dispositions. A property sale may produce substantial investing cash even when recurring operating cash is weak.

Financing activities

Financing cash flow includes loan proceeds, principal repayments, equity contributions, distributions, share repurchases and certain financing costs. Interest classification can vary by accounting framework and policy; the analyst should inspect the statement’s accounting policy.

The cash reconciliation is:

Ending Cash = Beginning Cash + Operating Cash Flow + Investing Cash Flow + Financing Cash Flow ± Foreign Exchange Effects

This identity is a control check. It does not explain whether cash is sustainable. A business can report positive ending cash because it borrowed heavily or sold assets.

5. Rent Rolls: The Operating Detail Behind Revenue

A rent roll is a unit-by-unit or lease-by-lease schedule. Typical fields include tenant, unit, area, lease commencement and expiry, contractual rent, rent-free periods, escalation clauses, security deposit, options, recoveries, arrears and occupancy status.

A rent roll supports analysis of:

  • physical occupancy: occupied area ÷ total lettable area;
  • economic occupancy: collected or contractual revenue ÷ potential gross revenue;
  • lease expiry concentration;
  • tenant and industry concentration;
  • in-place rent compared with market rent;
  • weighted-average lease expiry (WALE); and
  • exposure to upcoming renewals, break options and vacancies.

For leases weighted by area, WALE can be calculated as:

WALE = ∑(Lease Areaᵢ × Remaining Lease Termᵢ) ÷ ∑Lease Areaᵢ

The result is expressed in time units, such as years. If the analysis is intended to measure rental income exposure rather than physical space, annual rent—not area—should be used as the weight. The analyst must state the weighting basis.

Rent-roll information should be reconciled to the general ledger. Differences may arise from timing, straight-line rent, lease incentives, bad-debt provisions, currency translation or leases omitted from the operational system. These differences are not necessarily errors, but unexplained differences undermine confidence in the model.

6. Property Operating Statements

A property operating statement (POS) presents revenue and expenses for an individual asset, usually monthly and year-to-date. It is the principal bridge between operational activity and financial reporting.

A useful analytical format separates:

  1. potential gross rent;
  2. vacancy and concessions;
  3. credit loss and bad debt;
  4. other property income;
  5. effective gross income;
  6. controllable expenses;
  7. non-controllable expenses;
  8. NOI; and
  9. capital and below-NOI items.

Controllable expenses include management decisions such as marketing, staffing and repairs. Non-controllable expenses may include property taxes, insurance and utilities, although the classification varies. This distinction helps asset managers identify actions rather than merely describe variances.

Variance analysis should compare actual results with budget, prior year and underwriting. Both amount and percentage variance are relevant:

Variance = Actual − Budget
Variance Percentage = (Actual − Budget) ÷ Budget × 100%

A percentage variance is not meaningful when the budget is zero or very small; in that case, use the absolute variance and explain the reason qualitatively.

7. Normalizing Earnings

Reported earnings frequently contain items that do not represent sustainable performance. Normalization estimates the recurring economic result under reasonable operating conditions.

Common adjustments include:

  • one-time legal settlements;
  • unusual storm or casualty costs;
  • non-recurring acquisition expenses;
  • gains or losses on property sales;
  • fair-value gains and losses;
  • owner-specific management charges;
  • temporary vacancy or abnormal repairs;
  • non-cash straight-line rent;
  • lease termination payments; and
  • recurring capital requirements that are presented below NOI.

Normalization is not permission to remove unfavorable information. A cost should be excluded only when evidence supports its non-recurring or non-operating character. Repeated “one-time” expenses are usually recurring in economic substance.

A normalized measure can be expressed as:

Normalized NOI = Reported NOI − Non-recurring Income + Non-recurring Expenses ± Sustainable Run-rate Adjustments

The signs reflect the objective of removing unusual effects. For example, removing a one-time expense increases normalized NOI, while removing a one-time income decreases it.

Worked example: normalizing NOI

An apartment property reports:

ItemAmount
Contractual and other income$2,400,000
Property operating expenses$(900,000)
Reported NOI$1,500,000
One-time flood remediation included in expenses$120,000
Temporary rent from a short-term event$40,000

The temporary event income should be removed and the unusual remediation cost added back, assuming neither represents sustainable recurring performance:

Normalized NOI = $1,500,000 + $120,000 − $40,000 = $1,580,000

If a recurring annual reserve of $60,000 is required but has not been reflected in the operating statement, an analyst may present adjusted cash NOI of $1,520,000 after deducting that reserve. The two measures answer different questions and should not be labeled identically.

8. Reconciling Profit, NOI, FFO and Cash Flow

These measures answer different questions:

MeasureMain questionTypical exclusions or adjustments
Net incomeWhat accounting profit was reported?Includes depreciation, interest, taxes and gains/losses according to accounting rules
NOIHow did the property operate before financing and ownership-level items?Excludes interest, taxes on income, depreciation and usually capital expenditures
FFOWhat recurring earnings did the real estate entity generate after reversing selected real-estate accounting effects?Commonly adds back depreciation and subtracts gains on property sales, subject to applicable industry guidance
AFFOWhat recurring cash-like amount may be available for distribution?FFO adjusted for recurring capital expenditures, straight-line rent and other specified items
Levered cash flowWhat cash remains after operations, capital spending and financing?Includes debt service, financing activity and defined capital items

Funds from operations

For a real estate investment trust, FFO is commonly based on net income attributable to common shareholders, excluding gains or losses from sales of depreciable real estate and adding back depreciation and amortization of depreciable real estate, with further prescribed adjustments. The exact calculation should follow the applicable industry guidance and regulatory disclosure requirements.

A conceptual reconciliation is:

FFO = Net Income + Real Estate Depreciation and Amortization − Gains on Sales of Depreciable Real Estate ± Specified Adjustments

FFO is not the same as cash flow. Depreciation may be added back because it is non-cash, but properties still require maintenance capital. FFO also may include working-capital effects and other items that make it different from distributable cash.

Illustrative reconciliation

Assume a property-owning entity reports net income of $620,000. Included are real estate depreciation of $300,000, a gain on sale of a building of $250,000, and interest expense of $450,000. At entity level, a simplified FFO calculation is:

FFO = $620,000 + $300,000 − $250,000 = $670,000

Interest is not added back in this FFO calculation because FFO begins with net income after interest and is intended to reflect earnings after the entity’s financing cost. This differs from NOI, which excludes interest entirely.

9. A Reconciliation Framework for Financial Models

A robust model should contain separate schedules rather than one blended earnings line:

  1. Lease schedule: tenants, terms, rent steps, incentives and expiry.
  2. Revenue bridge: contractual rent to collected cash and reported revenue.
  3. Operating statement: recurring property income and expenses.
  4. NOI bridge: reported, adjusted and normalized NOI.
  5. Capital schedule: maintenance capital, tenant improvements and leasing commissions.
  6. Debt schedule: opening balance, drawdowns, principal, interest and closing balance.
  7. Financial-statement bridge: property results to consolidated accounting figures.
  8. Cash-flow schedule: operating, investing and financing cash movements.

The model should distinguish hard-coded inputs, formulas, linked financial-statement values and analyst judgments. Every normalization adjustment should have a source, date, rationale and approval status.

10. Illustrative Case: The Riverside Office Acquisition

This is a fictional illustrative case.

Background

Riverside Office is a 20,000-square-metre office building proposed for acquisition. The seller reports annual NOI of $4.20 million and presents the property as 95% occupied. The buyer’s investment committee suspects that reported NOI overstates sustainable performance.

Problem

The rent roll shows that 10% of the building is occupied by a related party at rent 25% above comparable market rent. A major tenant has six months of rent-free occupancy remaining. The operating statement includes a $180,000 insurance settlement and excludes $250,000 of recurring tenant-improvement expenditure. The seller’s presentation also treats a one-time lease-termination payment as recurring income.

Analysis

The analyst begins with reported NOI of $4.20 million. Adjustments are:

AdjustmentEffect on normalized NOI
Remove insurance settlement−$180,000
Remove lease-termination payment−$120,000
Replace related-party excess rent with market rent−$300,000
Reflect recurring tenant-improvement requirement−$250,000
Add back temporary vacancy after rent-free period ends+$160,000
Normalized or adjusted NOI$3,510,000

The final line is an analytical adjusted NOI, not necessarily a statutory accounting figure. The buyer must validate the $160,000 rent-free adjustment using lease documents and expected occupancy. The $250,000 tenant-improvement amount may be presented below NOI in some reporting systems; including it here creates an adjusted cash-oriented measure. It should therefore be labeled clearly.

At a market capitalization rate of 6.50%, an indicative value based on adjusted NOI is:

Value = $3,510,000 ÷ 0.065 = $54,000,000 approximately

Using reported NOI would imply:

Value = $4,200,000 ÷ 0.065 = $64,615,385 approximately

The difference is approximately $10.62 million. This illustrates why an apparently modest set of accounting and operating adjustments can materially affect valuation.

Approach and outcome

The buyer requests lease agreements, bank statements, tax bills, service contracts, capital invoices and related-party approvals. The model is rebuilt from the rent roll and general ledger rather than relying on the seller’s summary. The acquisition price is renegotiated, and an explicit capital reserve is incorporated into the underwriting.

Learning points

  1. Occupancy does not guarantee sustainable income.
  2. Related-party rent must be tested against market evidence.
  3. NOI definitions must be documented.
  4. Non-recurring income can inflate both NOI and value.
  5. Capital requirements should not disappear merely because they are reported below NOI.
  6. Due diligence is a data-governance process as well as a valuation exercise.

11. Limitations, Governance and Ethics

Financial analysis involves judgment. The most important limitations include inconsistent definitions, incomplete lease data, uncertain fair values, timing differences, changing accounting standards and management incentives. Analysts should avoid false precision: a normalized NOI of $3.51 million is an estimate with assumptions, not an objective fact.

Governance controls should include segregation of duties, documented approval of journal entries, reconciliation of rent rolls to ledgers, review of related-party transactions, version control, audit trails and independent challenge of valuation assumptions. A model should preserve the original reported figures alongside adjusted figures so that users can distinguish fact from analysis.

Ethically, analysts must not remove expenses solely to achieve a target valuation or debt covenant. “Adjusted” metrics should be accompanied by reconciliation, definitions and sensitivity analysis. AI tools can assist with lease abstraction, anomaly detection and document comparison, but outputs require human validation. Confidential tenant information should not be uploaded to unapproved systems, and automated classifications should be tested for omissions and bias.

12. Best Practices for Property Performance Analysis

  • Begin with source documents, not management summaries alone.
  • Reconcile rent roll, general ledger, bank receipts and operating statements.
  • Separate recurring, non-recurring, cash and non-cash items.
  • Define NOI, FFO, AFFO and cash flow explicitly.
  • Use consistent periods, units and area measures.
  • Investigate both favorable and unfavorable variances.
  • Test related-party transactions against market evidence.
  • Treat valuation outputs as assumption-dependent.
  • Preserve an audit trail for every adjustment.
  • Present sensitivity to occupancy, rent, expenses, capitalization rates and capital requirements.

Chapter Summary

Real estate financial analysis requires integration of accounting records and operating evidence. The income statement explains period performance, the balance sheet describes financial position, and the cash-flow statement explains liquidity movements. Rent rolls reveal lease-level revenue risk, while property operating statements organize asset-level income and expenses.

NOI is a useful unlevered property-performance measure, but it is not accounting profit or free cash flow. Depreciation, fair-value movements, gains on sales, working capital, capital expenditures and financing costs create differences among net income, NOI, FFO, AFFO and levered cash flow. Normalization seeks to identify sustainable economics, but adjustments must be evidence-based, transparent and consistently defined.

For postgraduate real estate professionals, the central discipline is reconciliation: reconcile leases to revenue, revenue to the general ledger, property results to consolidated statements, and accounting profit to cash available for investment or distribution. Strong governance and ethical judgment are essential because small classification choices can produce large valuation and financing consequences.

Key Terms

Accrual accounting: Recognition of revenue and expenses when earned or incurred rather than when cash is received or paid.

Adjusted funds from operations (AFFO): A cash-oriented measure derived from FFO after selected recurring adjustments.

Balance sheet: Statement of assets, liabilities and equity at a point in time.

Capital expenditure: Spending that creates, replaces or materially improves a long-lived asset.

Capitalization rate: A market-implied ratio of forward NOI to property value.

Cash flow statement: Statement explaining changes in cash from operating, investing and financing activities.

Economic occupancy: Revenue-based measure of occupancy that reflects concessions, bad debt and collections.

Fair value: An estimated market-based measurement under the applicable accounting framework.

Funds from operations (FFO): Real estate earnings measure that commonly reverses real estate depreciation and excludes gains on depreciable property sales.

Income statement: Statement of revenues, expenses, gains, losses and net income over a period.

Leverage: Use of debt financing in relation to property or enterprise value.

Net operating income (NOI): Property income less defined property operating expenses, before financing and ownership-level items.

Normalization: Adjustment of reported results to estimate sustainable recurring performance.

Operating cash flow: Cash generated or consumed by operating activities.

Property operating statement: Asset-level schedule of property revenue and expenses.

Rent roll: Lease-level schedule showing tenants, areas, rents, terms and related attributes.

Straight-line rent: Accounting recognition of lease income evenly over the lease term when required by the applicable standard.

Weighted-average lease expiry (WALE): Lease-term measure weighted by area, rent or another specified basis.

Review Questions

Short Answer Questions

  1. What is the principal difference between an income statement and a balance sheet?
  2. Why is NOI not the same as free cash flow?
  3. Identify three items commonly excluded from property-level NOI.
  4. What information does a rent roll provide that a consolidated income statement may not?
  5. Why should normalization adjustments be documented and reconciled?

Long Answer Questions

  1. Explain how accrual accounting causes accounting profit to differ from cash flow in a real estate business.
  2. Compare net income, NOI, FFO, AFFO and levered cash flow, including the decisions for which each measure is most useful.
  3. Discuss how the cost model and fair-value model can affect interpretation of a real estate balance sheet.
  4. Design a reconciliation process linking a rent roll, property operating statement and consolidated financial statements.
  5. Evaluate the governance and ethical risks associated with aggressive normalization of property earnings.

Analytical / Application Questions

  1. A property reports NOI of $2,000,000, including a $100,000 insurance settlement and excluding $75,000 of recurring capital reserves. Calculate a normalized cash-oriented NOI, assuming the settlement is non-recurring.
  2. A building has 12,000 square metres leased for two years, 8,000 square metres leased for five years and 5,000 square metres vacant. Calculate area-weighted WALE using occupied area only and explain why the vacancy should be reported separately.
  3. An acquisition model uses reported NOI of $5 million at a 5% capitalization rate, but due diligence indicates sustainable NOI of $4.4 million. Calculate both indicative values and discuss the investment implication.

Multiple Choice Questions with Answers

Question 1

Which financial statement reports assets, liabilities and equity at a specific date?

A. Income statement

B. Balance sheet

C. Cash-flow statement

D. Rent roll

Correct Answer: B. Balance sheet

Question 2

A property has effective gross income of $3,000,000 and property operating expenses of $1,100,000. What is NOI?

A. $1,100,000

B. $1,900,000

C. $3,000,000

D. $4,100,000

Correct Answer: B. $1,900,000

Question 3

Which item is normally excluded from property-level NOI?

A. Property insurance

B. Repairs and maintenance

C. Interest expense

D. Utilities

Correct Answer: C. Interest expense

Question 4

Under accrual accounting, revenue is generally recognized when it is:

A. Collected in cash

B. Earned under the applicable accounting rules

C. Deposited into a reserve account

D. Approved by a lender

Correct Answer: B. Earned under the applicable accounting rules

Question 5

A one-time gain on the sale of depreciable real estate is commonly deducted in a conceptual FFO reconciliation because it is:

A. A recurring operating expense

B. A financing cash flow

C. Not representative of recurring real estate operations

D. Always a tax payment

Correct Answer: C. Not representative of recurring real estate operations

Question 6

If NOI is $2,400,000 and the capitalization rate is 6%, the indicative value is:

A. $14,400,000

B. $40,000,000

C. $144,000,000

D. $1,440,000

Correct Answer: B. $40,000,000

Question 7

Which rent-roll measure is specifically sensitive to lease expiry concentration?

A. WALE

B. Gross book value

C. Interest coverage

D. Accounts payable

Correct Answer: A. WALE

Question 8

An increase in accounts receivable, with all else equal, generally has what effect on operating cash flow under the indirect method?

A. Increases it

B. Decreases it

C. Has no possible effect

D. Converts it into investing cash flow

Correct Answer: B. Decreases it

Question 9

Reported NOI is $1,500,000, including a non-recurring expense of $100,000. What is normalized NOI if the expense is appropriately added back?

A. $1,400,000

B. $1,500,000

C. $1,600,000

D. $1,650,000

Correct Answer: C. $1,600,000

Question 10

What is the main analytical danger of using related-party rent without adjustment?

A. It may understate physical occupancy automatically

B. It may overstate sustainable market-based income

C. It always eliminates depreciation

D. It changes debt into equity

Correct Answer: B. It may overstate sustainable market-based income

Financial Modeling & Analytics
Chapter 2 of 15