Study sheet: Financial Intelligence Foundations

📋 Course Outline

1. Finance, Risk, and Uncertainty
2. Capital Providers and Required Return
3. Managers and Investors’ Perspectives
4. Financial Analysis and Stakeholder Trust
5. Financial Statements and Accounting Logic
6. Accounting Wealth and Cash
7. Cash Flow Statement
8. Working Capital Needs
9. Debt and Capital Employed
10. Market Value and Earnings Quality
11. Free Cash Flow and Investment Policy
12. Margins and Operational Performance
13. Return on Invested Capital
14. Time Value and Opportunity Cost
15. Cash-Flow Streams and Valuation
16. Perpetuities and Annuities
17. Amortizing Loans
18. Net Present Value Rule

📖 1. Finance, Risk, and Uncertainty

🔑 Key Concepts & Definitions

• Finance : how individuals, businesses, and organizations raise, allocate, and use scarce monetary resources over time while managing risks and detecting opportunities

★ Must-know

• Uncertainty is the enemy of investors because uncertain future outcomes make expected earnings and investment values difficult to assess.

📌 Diversification reduces reliance on a single investment, reflecting the first golden rule: never put all your eggs in one basket.

Further detail

• Investment analysis deals with uncertainty through expected-return estimation, investment valuation, and asset allocation.

📌 Risk and opportunity are linked because accepting risk can provide access to uncertain gains, but risk does not guarantee a positive outcome.

💡 Memory Hook

Uncertainty → risk perception → investment decisions

📖 2. Capital Providers and Required Return

🔑 Key Concepts & Definitions

• Opportunity Cost of Capital : the return forgone on an alternative investment with equivalent risk and term, and it is estimated by the best available expected market return for a comparable investment

★ Must-know

📌 An equity holder receives voting rights, potential dividends and share-price appreciation, liquidity, and an exit option, but faces uncertain revenues and is paid last in liquidation.

📌 A debt holder receives predetermined fixed income and reasonably predictable revenues, has seniority in liquidation, and generally does not participate in the venture’s risk except for default risk.

📐 Formula — The course equates the opportunity cost of capital with the required return: $\text{Opportunity Cost of Capital} = \text{Required Return}$.

📌 Required return is a risk-compensation estimate used to make a decision today, whereas realized return is the return actually achieved later.

Further detail

• Appropriate benchmarks include: time-trend analysis, competitors and industry peers, the target, an alternative opportunity with the same level of risk

💡 Memory Hook

Equity shares risk and control; debt prioritizes repayment

📖 3. Managers and Investors’ Perspectives

★ Must-know

📌 The principle “high risk, high return” means that investors should require higher compensation when they accept more risk, but higher risk does not guarantee higher realized return.

• Historical evidence shows a statistical correlation between high risk and high return, but past performance does not guarantee future results.

📌 Correlation does not establish causality because two variables can move together without one causing the other.

Further detail

• The cited value drivers include:
  • attracting clients
  • clients’ satisfaction
  • after-sale services
  • user experience
  • reputation
  • people
  • knowledge
  • trust
  • high-quality goods and services
  • innovation and adaptability to new needs

💡 Memory Hook

Investors seek return; companies bear the cost of capital

📖 4. Financial Analysis and Stakeholder Trust

🔑 Key Concepts & Definitions

• Cost of Capital : the return required by capital providers and represents a cost from the company’s perspective

★ Must-know

📌 Shareholders own part of the company’s equity rather than the company’s individual assets, and dividend payments are made at the company’s discretion.

• A financial analysis should assess growth, profitability, and risk before developing and communicating conclusions or recommendations.

📌 A company can survive in the long run only if it creates value for shareholders, meets commitments to stakeholders, generates wealth, invests, finances its investments, generates sufficient return, and anticipates and manages illiquidity risk.

Further detail

• If shareholders require a 10% return, the company must consider a 10% equity cost of capital, although treating dividends as the only shareholder payment is an explicit pedagogical simplification.

💡 Memory Hook

Growth → profitability → risk → recommendations

📖 5. Financial Statements and Accounting Logic

🔑 Key Concepts & Definitions

• Financial Statements : periodic accounting reports that present past performance and a snapshot of a firm’s assets and the financing of those assets
• Balance Sheet : a statement that lists a firm’s assets, liabilities, and shareholders’ equity, with total assets equal to liabilities plus shareholders’ equity
• Income Statement : a report of revenues and wealth-affecting expenses over a period, with earnings equal to revenues minus charges
• Accrual Accounting : recognizing a sale when it occurs rather than when the customer pays and matching costs with the revenues they help generate, independently of cash outflows

★ Must-know

• The principal financial statements are:
  • balance sheet
  • income statement
  • statement of cash flows
  • statement of changes in shareholders’ equity

📐 Formula — The balance-sheet identity is $\text{Total Assets} = \text{Liabilities} + \text{Shareholders' Equity}$.

📌 Operating expenses are consumed during the operating cycle and reduce wealth, whereas capital expenditures acquire fixed assets that are used without being immediately destroyed.

📌 Positive net income does not guarantee that a company has sufficient cash because accrual accounting can recognize revenue before cash collection and include non-cash items such as depreciation.

Further detail

• A balance sheet is a snapshot at a given point in time and may be distorted by seasonality; for LEGO, 80% of annual sales occur between September and December.

💡 Memory Hook

Cash is liquidity, assets are resources, and wealth is net value

📖 6. Accounting Wealth and Cash

📝 Essential Points

• Cash, assets, and wealth are distinct: purchasing an apartment exchanges cash for an asset without changing wealth, while buying it on credit creates an asset and an equal liability, also leaving wealth unchanged at the transaction date.

• Operating expenses consume resources during the operating cycle, whereas capital expenditures acquire fixed assets that retain value and are not immediately recorded as expenses.

• Accrual accounting records revenue when the sale is made rather than when cash is received, and matches costs with the period in which the related revenue is recognized.

• Net income typically differs from cash earned because of non-cash items such as depreciation and amortization, accruals such as unrealized revenues, and cash uses such as capital expenditures that are not fully reported in the income statement.

💡 Memory Hook

Net income measures accounting wealth, whereas cash measures liquidity.

📖 7. Cash Flow Statement

★ Must-know

• A statement of cash flows reconciles the beginning and ending cash balances through cash flows from operations, investments, and financing.

• The statement of cash flows assesses a company’s ability to generate cash and how that cash has been allocated during a period.

Further detail

• For JIT in Year 2, cash from operating activities was €1.3 million, cash from investing activities was −€39.8 million, cash from financing activities was €41.2 million, and the change in cash was €2.7 million.

• JIT’s Year 2 cash-flow statement included €39.8 million of capital expenditures, showing that substantial investment can require financing even when operating cash flow is positive.

💡 Memory Hook

Operations → investments → financing → change in cash.

📖 8. Working Capital Needs

🔑 Key Concepts & Definitions

• Working capital needs : the short-term cash required to run the business and reflect the time lag between operating cash outflows and inflows

★ Must-know

📐 Formula — Working capital needs are calculated as $\text{WCN} = \text{Inventory} + \text{Accounts receivable} - \text{Accounts payable}$.

📌 Reducing working capital needs generates positive cash flow, provided that the reduction does not impair the firm’s proper functioning.

Further detail

• JIT’s working capital needs increased from €2.6 million in Year 1 to €3.3 million in Year 2, requiring €0.7 million to finance the increase.

💡 Memory Hook

Operating time lags → cash frozen in working capital.

📖 9. Debt and Capital Employed

★ Must-know

📐 Formula — Net financial debt is calculated as $\text{Net financial debt} = \text{Long-term financial debt} + \text{Short-term financial debt} - \text{Cash and short-term investments}$.

📐 Formula — Capital employed equals invested capital and is calculated as $\text{Capital employed} = \text{Fixed assets} + \text{Working capital} = \text{Shareholders' equity} + \text{Net financial debt}$.

Further detail

• JIT’s net financial debt was €52.3 million in Year 1 and €91.8 million in Year 2.

• JIT’s capital employed was €83.5 million in Year 1 and €124.0 million in Year 2.

💡 Memory Hook

Gross debt ignores cash, whereas net debt subtracts cash and short-term investments.

📖 10. Market Value and Earnings Quality

★ Must-know

📌 Book value of equity is an accounting measure based partly on historical asset costs, whereas market capitalization reflects investors’ expectations about future performance and may differ substantially from book value.

📐 Formula — Market capitalization is calculated as $\text{Market capitalization} = \text{Market price per share} \times \text{Number of shares outstanding}$.

📐 Formula — Enterprise value is calculated as $\text{Enterprise value} = \text{Equity value} + \text{Debt} - \text{Cash}$ and represents the value of equity plus net debt.

📌 A positive net income does not necessarily indicate good future performance because earnings quality is affected by non-cash items, accruals, extraordinary items, and the short-term or long-term nature of earnings.

📐 Formula — Free cash flow is calculated as $\text{FCF} = \text{Cash from operating activities} + \text{Cash from investing activities}$.

📌 Positive free cash flow means that operating cash generation covers operating and investment needs, whereas negative free cash flow means that additional financial resources must be raised to cover capital requirements.

Further detail

• JIT’s market capitalization was €50.4 million, calculated from 3.6 million shares trading at €14 per share, compared with book equity of €32.2 million.

• JIT’s free cash flow was −€38.5 million in Year 2, calculated as €1.3 million of cash from operations minus €39.8 million of capital expenditures.

💡 Memory Hook

Book value records history, whereas market value reflects expected future performance.

📖 11. Free Cash Flow and Investment Policy

🔑 Key Concepts & Definitions

• Free Cash Flow : Cash from operating activities plus cash from investing activities, including investment outflows.

★ Must-know

📌 Positive free cash flow means that cash generated by operating and investing activities covers operating and investment needs and may be used to pay dividends or reduce debt.

Further detail

• For JIT, free cash flow equals €1.3 million of cash from operating activities minus €39.8 million of cash from investing activities, giving €−38.5 million.

💡 Memory Hook

Operating cash flow minus investment needs → free cash flow

📖 12. Margins and Operational Performance

★ Must-know

📌 A margin measures profit relative to net revenue, whereas a return measures profit relative to invested capital.

📐 Formula — The margin ratio is calculated as $\text{Margin ratio}=\frac{\text{Profit}}{\text{Net revenue}}$.

• Margin ratios scale each income-statement item as a percentage of revenue, helping assess cost structure and compare operating performance across firms.

Further detail

• 🔄 Margin analysis uses three comparisons:

  1. past performance
  2. competitors or industry peers
  3. company targets

• JIT’s EBITDA margin increased from 4.8% in Year 1 to 6.2% in Year 2, while its EBIT margin increased from 4.2% to 5.6%.

• Hermès, LVMH, and Carrefour have operating margins of 32%, 21%, and 5%, respectively, showing that corporate strategy can produce large differences in operating performance.

💡 Memory Hook

Margin measures profit per revenue, whereas return measures profit per invested capital

📖 13. Return on Invested Capital

★ Must-know

📐 Formula — Return on invested capital equals operating profit divided by invested capital: $\text{ROIC}=\frac{\text{EBIT}}{\text{Capital invested}}=\frac{\text{EBIT}}{\text{Fixed assets}+\text{Working capital}}$.

📐 Formula — Return on equity equals net income divided by shareholders’ equity: $\text{ROE}=\frac{\text{Net income}}{\text{Shareholders’ equity}}$.

Further detail

• For JIT, Year 2 capital employed is €124.3 million and EBIT is €10.4 million, producing an ROIC of 8.4%.

• For JIT, Year 2 net earnings of €2.0 million divided by shareholders’ equity of €32.2 million gives an ROE of 6.2%.

📌 ROE can be misleading because book value may be meaningless, a one-period return may be unrepresentative, and financial return cannot be judged independently of risk or financial leverage.

💡 Memory Hook

A €100 capital base split between €20 equity and €80 debt produces €20 operating profit

📖 14. Time Value and Opportunity Cost

★ Must-know

📌 Only cash flows occurring at the same point in time can be compared or combined.

📐 Formula — To move a cash flow forward, its future value is calculated as $FV=PV(1+r)^t$.

📐 Formula — To move a cash flow backward, its present value is calculated as $PV=\frac{FV}{(1+r)^t}$.

📌 The discount rate is the opportunity cost of capital, meaning the required return available on an alternative investment with comparable risk and term.

Further detail

• The risk-free interest rate is the rate at which money can be borrowed or lent without risk and is approximated by the safest government bond.

• Investing €10,000 at 3% for one year produces €10,300, so the time value of money is €300.

💡 Memory Hook

Compare at one date → compound forward → discount backward → use the required return

📖 15. Cash-Flow Streams and Valuation

🔑 Key Concepts & Definitions

• Perpetuity : A stream of equal cash flows paid at regular intervals that continues forever and has no fixed maturity date.
• Annuity : A stream of equal cash flows paid at regular intervals for a fixed number of periods.

★ Must-know

📐 Formula — The present value of a stream of cash flows is $PV=\sum_{t=0}^{T}\frac{C_t}{(1+r)^t}$.

Further detail

📐 Formula — The present value of a constant perpetuity paying C at interest rate r is $PV=\frac{C}{r}$.

• Funding a €30,000 annual graduation party forever at an 8% interest rate requires a donation of €375,000 today.

• When comparing the lottery options of 30 annual €1 million payments starting today with €15 million paid today at an 8% interest rate, the €15 million upfront option is more valuable.

💡 Memory Hook

Perpetuities last forever, whereas annuities end after a fixed number of periods

📖 16. Perpetuities and Annuities

🔑 Key Concepts & Definitions

• Growing perpetuity : A stream of cash flows that occurs at regular intervals and grows at a constant rate forever.
• Constant annuity : A stream of N equal cash flows paid at regular intervals and ending at a fixed maturity date.

★ Must-know

📐 Formula — The present value of a growing perpetuity with first payment C, growth rate g, and interest rate r is calculated as $PV = \frac{C}{r-g}$ when the cash flows grow forever.

• At an interest rate of 8%, receiving 30 annual payments of €1 million starting today has a present value of €12.16 million, whereas receiving €15 million today is more valuable.

Further detail

• Common examples of constant annuities include:
  • car loans
  • mortgages
  • bonds

💡 Memory Hook

Perpetuity continues forever, whereas an annuity ends at a fixed maturity date.

📖 17. Amortizing Loans

★ Must-know

• For an amortizing loan, each payment first covers the interest on the outstanding balance and the remainder repays principal, reducing the balance until the final payment fully repays the loan.

• For a €14,590 car loan with 24 equal monthly payments and a 3.9% annual percentage rate compounded monthly, the monthly payment is approximately €633.

Further detail

• For a €100,000 warehouse financed with a €80,000, 30-year loan at 8% annual interest, the equal annual loan payment is €7,106.19.

• In the car-loan amortization schedule, the monthly interest payment falls from €47 in month 1 to €2 in month 24, while the capital repayment rises from €586 to €631 and the balance reaches zero.

💡 Memory Hook

Payment → interest → principal repayment → lower balance.

📖 18. Net Present Value Rule

🔑 Key Concepts & Definitions

• Internal rate of return : The compound annual average rate of return that makes the net present value of all project cash flows equal to zero.
• Payback period : The amount of time required to recover the initial investment from project cash flows.

📝 Essential Points

• 🔄 The investment-valuation process consists of: forecasting project cash flows, estimating the opportunity cost of capital, discounting future revenues and costs to the same date, comparing the present value of the payoff with the initial investment

📐 Formula — The net present value of a project is $NPV = PV(\text{Benefits}) - PV(\text{Costs}) = PV(\text{All project cash flows})$.

• A project with NPV greater than zero could be value-creating because its expected return exceeds the required return or opportunity cost of capital.

• When choosing among alternative investment plans, the alternative with the highest NPV should be selected.

• A project is generally desirable under the IRR rule when its IRR exceeds the required return or opportunity cost of capital.

• For the liquid-gold fertilizer project, an initial investment of $250 million generates $35 million annually forever at a 10% cost of capital, producing an NPV of $100 million and an IRR of 14%.

📌 Under the payback rule, a project is accepted if its payback period is less than a pre-specified limit and rejected otherwise.

• The payback rule has four main limitations:

  • it ignores the project’s cost of capital and time value of money
  • it ignores cash flows after the payback period
  • it uses an arbitrary cutoff
  • it is biased against long-term projects

• Free cash flow is calculated as revenues minus cost of goods sold, depreciation, and income tax, plus depreciation, minus the change in net working capital and capital expenditures.

📌 Capital budgeting requires information about cash flows rather than accounting profits because net income typically does not equal the cash earned by the firm.

• 🔄 Capital budgeting proceeds through three main stages:
  1. Forecasting incremental earnings
  2. Determining free cash flows
  3. Applying investment decision rules such as NPV, IRR, and the payback period

📌 The NPV rule evaluates potential value creation, the IRR compares the project's return with the cost of capital, and the payback period measures the time required to recover the initial investment.

📌 Forecasted earnings are not forecasted cash flows because net income includes non-cash items and accruals and excludes some uses of cash.

• The main reasons net income differs from cash are:
  • Non-cash items such as depreciation and amortization
  • Accruals such as unrealized revenues
  • Capital expenditures on property, plant, and equipment

💡 Memory Hook

Discount future cash flows at the opportunity cost → compare benefits with costs → identify value creation.

📊 Synthesis Tables

Equity versus debt

Dimension	Equity holder	Debt holder
Income	Uncertain dividends and share-price appreciation	Predetermined fixed income
Control	Voting rights and decision-making powers	Normally no decision power
Liquidation	Paid last	Paid before equity holders
Risk	Bears business risk	Mainly exposed to default risk

Cash Flow Components

Component	Meaning	JIT Year 2
Operating activities	Cash generated by operations	€1.3 million
Investing activities	Cash spent on or generated by investments	−€39.8 million
Financing activities	Cash raised from or returned to capital providers	€41.2 million