Investment Analysis & Capital Budgeting

A capability or position that allows a company to outperform rivals.

Example: Lower production costs let the firm earn stronger margins.

Competitive Advantage is a capability or position that allows a company to outperform rivals. The result from the valuation is not discovered in the market; it is produced by a model whose assumptions determine how future benefits are translated into today's money.

Lower production costs let the firm earn stronger margins. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rateThe rate used to convert future cash flows into present value. reflect the business risk.

For Competitive Advantage, audit the forecast, discount rate, terminal valueThe estimated value of cash flows beyond an explicit forecast period., financing assumptions and treatment of inflationA sustained increase in the general price level, reducing the purchasing power of money. and currency; compare the result with market and asset-based evidence. Terminal assumptions often account for most of the estimated value.

The average or median forecast from a group of analysts.

Example: The market expects ₦6 EPS based on the analyst consensus.

Consensus Estimate is the average or median forecast from a group of analysts; the valuation converts assumptions about cash flows, assets, growth, risk or required returnThe minimum expected return an investor demands for the time and risk involved. into an estimate of value or project attractiveness.

The market expects ₦6 EPS based on the analyst consensus. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

When reviewing Consensus Estimate, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts; a model can be mathematically correct and economically wrong.

The time required for discounted cash inflows to recover the initial investmentAn asset or commitment of money made with the expectation of future income, growth, or both..

Example: Discounting makes the payback period longer than the undiscounted version.

Discounted Payback Period is the time required for discounted cash inflows to recover the initial investment. Payback focuses on how quickly cash is recovered and ignores later cash flows; the ordinary version also ignores the time valueThe part of an option premium exceeding intrinsic value, reflecting time and uncertainty before expiration. of money.

For example, discounting makes the payback period longer than the undiscounted version.

For Discounted Payback Period, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence.

Management's public forecast or range for future revenue, profit, or other operating measures.

Example: Management guides to 10%–15% revenue growth next year.

Earnings Guidance describes management's public forecast or range for future revenue, profit, or other operating measures; the valuation converts assumptions about cash flows, assets, growth, risk or required return into an estimate of value or project attractiveness.

Management guides to 10%–15% revenue growth next year.

When reviewing Earnings Guidance, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts; a model can be mathematically correct and economically wrong.

The difference between reported earnings and the market's consensus estimate.

Example: The company reports ₦7 EPS against a ₦6 forecast, a positive surprise.

Earnings Surprise is the difference between reported earnings and the market's consensus estimate. The result from the valuation is not discovered in the market; it is produced by a model whose assumptions determine how future benefits are translated into today's money.

The company reports ₦7 EPS against a ₦6 forecast, a positive surprise.

For Earnings Surprise, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence. Precision in the output does not reduce uncertainty in the forecast.

A durable competitive advantage that helps a company defend profits and returns.

Example: A trusted network and high switching costs create an economic moat.

Economic Moat is a durable competitive advantage that helps a company defend profits and returns; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

A trusted network and high switching costs create an economic moat. For Economic Moat, a downside case and a sensitivity table reveal which assumption actually drives the result.

When reviewing Economic Moat, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts; precision in the output does not reduce uncertainty in the forecast.

Cost advantages achieved as production or operations increase.

Example: A larger manufacturer spreads fixed costs over more units.

Economies of Scale describes cost advantages achieved as production or operations increase; the valuation converts assumptions about cash flows, assets, growth, risk or required return into an estimate of value or project attractiveness.

For example, a larger manufacturer spreads fixed costs over more units. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

Build Economies of Scale from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Precision in the output does not reduce uncertainty in the forecast.

The use of debt or other fixed claims to amplify returns and losses to equity holders.

Example: Borrowing raises ROE in good periods but increases bankruptcyA legal process for an entity unable to meet its financial obligations. risk.

Financial LeverageThe use of borrowed money or derivatives to increase exposure relative to invested capital. is the use of debt or other fixed claims to amplify returns and losses to equity holders; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

Borrowing raises ROE in good periods but increases bankruptcy risk.

For Financial Leverage, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence. Precision in the output does not reduce uncertainty in the forecast.

The evaluation of economic, industryA more specific group of companies with closely related products or services., company, and financial information to estimate an investment's value.

Example: The analyst studies revenue growth, margins, debt, and competitive position.

Fundamental Analysis is the evaluation of economic, industry, company, and financial information to estimate an investment's value; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

The analyst studies revenue growth, margins, debt, and competitive position. For Fundamental Analysis, a downside case and a sensitivity table reveal which assumption actually drives the result.

For Fundamental Analysis, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence.

The minimum acceptable return for an investment or project.

Example: Management rejects projects expected to earn less than 16%.

Hurdle Rate is the minimum acceptable return for an investment or project; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

For example, management rejects projects expected to earn less than 16%. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

A sound use of Hurdle Rate states the valuation date, perspective, forecast period and decision rule, and reconciles the output with comparable transactions or market prices; terminal assumptions often account for most of the estimated value.

Growth achieved through acquisitions, mergers, or external combinations.

Example: A bank expands regionally by acquiring another bank.

Inorganic Growth describes growth achieved through acquisitions, mergers, or external combinations. The result from the valuation is not discovered in the market; it is produced by a model whose assumptions determine how future benefits are translated into today's money.

A bank expands regionally by acquiring another bank.

Build Inorganic Growth from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. A model can be mathematically correct and economically wrong.

The discount rate that makes a project's net present valueThe current worth of money expected in the future after applying a discount rate. equal to zero.

Example: A project with 18% IRR exceeds a company's 14% hurdle rate.

Internal Rate of Return is the discount rate that makes a project's net present value equal to zero. IRR can mislead when cash flows change sign more than once or when projects differ greatly in size and timing; in those cases NPV gives the cleaner decision.

For Internal Rate of Return, IRR is found by solving for the discount rate that sets net present value to zero, which usually requires iteration rather than simple rearrangement. A project with 18% IRR exceeds a company's 14% hurdle rate.

Build Internal Rate of Return from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs.

A decrease in a company's profit margin.

Example: Price competition causes gross marginGross profit expressed as a percentage of revenue. to fall.

Margin Compression is a decrease in a company's profit margin. The result from the valuation is not discovered in the market; it is produced by a model whose assumptions determine how future benefits are translated into today's money.

Price competition causes gross margin to fall. For Margin Compression, a downside case and a sensitivity table reveal which assumption actually drives the result.

A sound use of Margin Compression states the valuation date, perspective, forecast period and decision rule, and reconciles the output with comparable transactions or market prices; different methods answer different valuation questions and need not produce the same result.

An increase in a company's profit margin.

Example: Lower input costs raise the operating marginOperating profit expressed as a percentage of revenue. from 12% to 16%.

Margin Expansion is an increase in a company's profit margin; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

Lower input costs raise the operating margin from 12% to 16%.

A sound use of Margin Expansion states the valuation date, perspective, forecast period and decision rule, and reconciles the output with comparable transactions or market prices; a model can be mathematically correct and economically wrong.

A return measure that uses specified financing and reinvestmentUsing distributions or proceeds to buy additional units instead of receiving cash. rates rather than assuming reinvestment at the IRR.

Example: MIRR gives a more realistic result for a project with unusual cash flows.

Modified Internal Rate of Return is a return measure that uses specified financing and reinvestment rates rather than assuming reinvestment at the IRR. IRR can mislead when cash flows change sign more than once or when projects differ greatly in size and timing; in those cases NPV gives the cleaner decision.

For Modified Internal Rate of Return, MIRR separates the financing rate from the rate earned on reinvested cash flows, avoiding the assumption that every interim inflow compounds at the project's IRR. MIRR gives a more realistic result for a project with unusual cash flows. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

When reviewing Modified Internal Rate of Return, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts; different methods answer different valuation questions and need not produce the same result.

Present value of expected cash inflows minus present value of expected cash outflows.

Example: A project with ₦120 million present value of inflows and ₦100 million cost has ₦20 million NPV.

Net Present Value describes present value of expected cash inflows minus present value of expected cash outflows. NPV measures value in currency, which makes it additive across projects. That is one reason finance theory generally prefers it to a percentage return when projects differ in scale.

The decision rule is direct: discount each expected cash flow, add the present values and subtract the initial outlay; a positive result indicates value above the required return. A project with ₦120 million present value of inflows and ₦100 million cost has ₦20 million NPV.

When reviewing Net Present Value, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts.

A benefit that makes a product or service more valuable as more people use it.

Example: A payment network becomes more useful as merchants and customers join.

Network Effect is a benefit that makes a product or service more valuable as more people use it; the valuation converts assumptions about cash flows, assets, growth, risk or required return into an estimate of value or project attractiveness.

A payment network becomes more useful as merchants and customers join. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

Build Network Effect from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Different methods answer different valuation questions and need not produce the same result.

The sensitivity of operating profitProfit from core operations after operating expenses but before financing costs and tax. to changes in revenue because of fixed costs.

Example: Once fixed costs are covered, additional sales produce faster profit growth.

Operating Leverage is the sensitivity of operating profit to changes in revenue because of fixed costs; the valuation converts assumptions about cash flows, assets, growth, risk or required return into an estimate of value or project attractiveness.

Once fixed costs are covered, additional sales produce faster profit growth.

For Operating Leverage, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence. Precision in the output does not reduce uncertainty in the forecast.

Growth generated from existing operations rather than acquisitions.

Example: Same-store sales and new internally developed products drive organic growth.

Organic Growth describes growth generated from existing operations rather than acquisitions; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

Same-store sales and new internally developed products drive organic growth. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

Build Organic Growth from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Also compare Inorganic Growth, defined here as growth achieved through acquisitions, mergers, or external combinations.

The time required for cumulative cash inflows to recover the initial investment.

Example: A ₦10 million project returning ₦2.5 million yearly has a four-year simple payback.

Payback Period is the time required for cumulative cash inflows to recover the initial investment. Payback focuses on how quickly cash is recovered and ignores later cash flows; the ordinary version also ignores the time value of money.

A ₦10 million project returning ₦2.5 million yearly has a four-year simple payback. For Payback Period, a downside case and a sensitivity table reveal which assumption actually drives the result.

For Payback Period, audit the forecast, discount rate, terminal value, financing assumptions and treatment of inflation and currency; compare the result with market and asset-based evidence. Terminal assumptions often account for most of the estimated value.

The ability to raise prices without losing excessive demand.

Example: A strong brand increases prices while retaining customers.

Pricing Power is the ability to raise prices without losing excessive demand; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

For example, a strong brand increases prices while retaining customers.

When reviewing Pricing Power, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts. Also compare Switching Cost, defined here as the cost, inconvenience, or risk a customer faces when changing providers.

Present value of future cash inflows divided by the initial investment.

Example: A project with ₦120 million present value and ₦100 million cost has a 1.2 profitability index.

Profitability Index describes present value of future cash inflows divided by the initial investment. A value above 1 indicates that discounted inflows exceed the initial outlay. The ratio is useful under capital constraints but can rank mutually exclusive projects differently from NPV.

In formula form, the measure uses present value of future cash inflows as the numerator and the initial investment as the denominator. A project with ₦120 million present value and ₦100 million cost has a 1.2 profitability index.

Build Profitability Index from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Precision in the output does not reduce uncertainty in the forecast.

The degree to which reported profit reflects sustainable operations and is supported by cash flow.

Example: Profit backed by recurring cash receipts is generally higher quality than profit driven by accounting estimates.

Quality of Earnings is the degree to which reported profit reflects sustainable operations and is supported by cash flow; the valuation forces an analyst to make the investment thesisA reasoned explanation of why an investment should produce an attractive return and what could invalidate that view. numerical: amount, timing, probability and discount rate all enter the conclusion.

Profit backed by recurring cash receipts is generally higher quality than profit driven by accounting estimates.

Build Quality of Earnings from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Precision in the output does not reduce uncertainty in the forecast.

The use of mathematical models, statistics, and structured data to evaluate investments.

Example: A quantitative model ranks shares by value, quality, and momentumThe tendency of assets with strong recent performance to continue outperforming for a period..

Quantitative Analysis is the use of mathematical models, statistics, and structured data to evaluate investments; the valuation forces an analyst to make the investment thesis numerical: amount, timing, probability and discount rate all enter the conclusion.

A quantitative model ranks shares by value, quality, and momentum. The arithmetic is only the final step; the quality of the estimate depends on whether the projected cash flows and discount rate reflect the business risk.

A sound use of Quantitative Analysis states the valuation date, perspective, forecast period and decision rule, and reconciles the output with comparable transactions or market prices; different methods answer different valuation questions and need not produce the same result.

Revenue expected to repeat under subscriptions, contracts, or ongoing customer relationships.

Example: Annual software subscriptions provide recurring revenue.

Recurring Revenue means revenue expected to repeat under subscriptions, contracts, or ongoing customer relationships; small changes in growth, margins, terminal assumptions or required return can produce large changes in the answer.

For example, annual software subscriptions provide recurring revenue. For Recurring Revenue, a downside case and a sensitivity table reveal which assumption actually drives the result.

Build Recurring Revenue from explicit cash-flow drivers, then run sensitivities for growth, margin, timing and required return; reject precision unsupported by the inputs. Also compare Organic Growth, defined here as growth generated from existing operations rather than acquisitions.

The cost, inconvenience, or risk a customer faces when changing providers.

Example: Complex data migration gives enterprise software high switching costs.

Switching Cost is the cost, inconvenience, or risk a customer faces when changing providers; the valuation converts assumptions about cash flows, assets, growth, risk or required return into an estimate of value or project attractiveness.

Complex data migration gives enterprise software high switching costs. For Switching Cost, a downside case and a sensitivity table reveal which assumption actually drives the result.

When reviewing Switching Cost, focus first on the assumptions that contribute most to value and on whether management has historically delivered similar forecasts. Also compare Network Effect, defined here as a benefit that makes a product or service more valuable as more people use it.