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TOLC-EUnito Business AdministrationTOLC-ITOLC-SUUniMi MEF

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Unito Business Administration

Formula sheet

Bookmark formulas to build your personal reference sheet.

Financial Statements

Balance sheet equation

Assets = Liabilities + Equity

Always balanced — the fundamental accounting identity.

Working capital

WC = Current Assets − Current Liabilities

Positive WC means the firm can meet short-term obligations.

WC
Working capital

Gross profit

Gross Profit = Revenue − COGS

Profit after direct production costs, before operating expenses.

COGS
Cost of goods sold

Operating profit (EBIT)

EBIT = Gross Profit − Operating Expenses

Earnings Before Interest and Tax — the core operating result.

EBIT
Earnings Before Interest & Tax

Net profit

Net Profit = EBT − Income Tax

Bottom line after interest and tax.

EBT
Earnings Before Tax (EBIT − Interest)

Gross profit margin

GP Margin = (Gross Profit ÷ Revenue) × 100

% of revenue remaining after cost of goods sold.

Net profit margin

Net Margin = (Net Income ÷ Revenue) × 100

Bottom-line profitability as a % of revenue.

Return on equity

ROE = Net Income ÷ Shareholders' Equity

Profit generated per unit of shareholder investment.

Debt-to-equity ratio

D/E = Total Debt ÷ Total Equity

Higher D/E = more financial leverage and risk.

Interest coverage ratio

ICR = EBIT ÷ Interest Expense

How many times over operating profit covers the interest bill.

ICR
Interest Coverage Ratio
EBIT
Earnings Before Interest & Tax

Asset turnover

AT = Revenue ÷ Total Assets

How efficiently assets generate sales — higher is better.

DuPont ROE decomposition

ROE = Net Margin × Asset Turnover × Equity Multiplier

Decomposes ROE into profitability, efficiency, and leverage.

Equity Multiplier
Total Assets ÷ Shareholders' Equity

Banking & Financial Institutions

Real interest rate

Real Rate ≈ Nominal Rate − Inflation Rate

Strips inflation from the quoted rate to show real purchasing-power gain.

Future value (compound interest)

FV = PV × (1 + r)^t

FV
Future value
PV
Present value
r
Interest rate per period
t
Number of periods

Present value

PV = FV ÷ (1 + r)^t

Discount a future cash flow back to today's value.

Current yield

CY = Annual Coupon ÷ Market Price

The bond's annual income as a % of its current trading price.

CY
Current yield

Bond price–rate relationship

↑ Interest Rates → ↓ Bond Price (and vice versa)

Inverse relationship: fixed coupon is less attractive when new rates rise.

Corporate Finance

Net present value

NPV = Σ [CFt ÷ (1 + r)^t] − C₀

Accept the project if NPV > 0.

CFt
Cash flow in period t
r
Discount rate (usually WACC)
C₀
Initial investment (at t = 0)

IRR decision rule

Accept if IRR > Required Rate of Return

IRR is the discount rate at which NPV = 0.

IRR
Internal Rate of Return

Weighted average cost of capital

WACC = (E/V)·Ke + (D/V)·Kd·(1 − T)

The blended required return across all funders.

E/V
Equity as a fraction of total capital
D/V
Debt as a fraction of total capital
Ke
Cost of equity
Kd
Pre-tax cost of debt
T
Corporate tax rate (debt interest is tax-deductible)

Capital asset pricing model

E(r) = Rf + β × (Rm − Rf)

Estimates the required return on equity based on systematic risk.

E(r)
Expected return on the asset
Rf
Risk-free rate (e.g. government bond yield)
β
Beta — sensitivity to market movements
Rm − Rf
Market risk premium