Valuation, Credit Analysis and Decision Making

Introduction

Financial reporting is not an end in itself. Investors, lenders, directors and managers use reported information to estimate value, assess risk and choose among competing actions. This chapter integrates three activities: valuation of equity and enterprise claims, analysis of creditworthiness and default risk, and translation of accounting evidence into decisions.

Valuation is necessarily forward-looking. Financial statements provide evidence about profitability, cash generation, investment, financing and risk, but valuation requires assumptions about future performance. Credit analysis similarly combines historical reporting with expectations about liquidity, leverage, repayment capacity and covenant compliance. The analyst’s task is therefore not simply to calculate ratios or apply a multiple. It is to identify economically relevant cash flows, adjust accounting information where necessary, test assumptions and communicate uncertainty.

Learning objectives

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

1. Explain the relationship between accounting information, valuation and credit decisions.
2. Apply discounted cash-flow, dividend-discount, residual-income and market-multiple models.
3. Calculate and interpret WACC and distinguish enterprise value from equity value.
4. Analyse liquidity, leverage, coverage, covenants and default risk.
5. Estimate sustainable growth and evaluate whether growth is financeable.
6. Integrate reporting evidence into investment, lending and managerial recommendations.
7. Identify limitations, ethical issues and governance risks in financial analysis.

1. The analytical architecture of financial decision making

A useful decision process has five linked stages:

1. Define the claim and decision. An equity investor values common shares; a lender assesses repayment and recovery; management evaluates projects or strategic alternatives.
2. Reconstruct economic performance. Reported earnings may be affected by accruals, non-recurring items, classification choices, impairment assumptions and estimation error.
3. Forecast relevant outcomes. Depending on the model, these may be free cash flow, dividends, residual income, operating profit or debt-service cash flow.
4. Discount or compare outcomes. Discount rates must match the risk and ownership claim. Multiples must be based on comparable definitions and time periods.
5. Stress-test and recommend. A robust recommendation identifies sensitivity to revenue growth, margins, reinvestment, interest rates, refinancing and terminal assumptions.

The central distinction is between value and price. Value is an estimate based on expected benefits and risk; price is the amount currently observed in a market or negotiated transaction. Differences may arise from information, liquidity, sentiment, bargaining power or errors in expectations.

Important terminology

• Enterprise value (EV): value attributable to operating assets before allocation between debt and equity claims.
• Equity value: value attributable to common shareholders after deducting relevant debt-like claims and adding non-operating cash.
• Free cash flow to the firm (FCFF): cash available to all providers of capital after operating costs and required reinvestment.
• Free cash flow to equity (FCFE): cash available to common shareholders after interest, debt flows and reinvestment.
• Residual income (RI): accounting income in excess of the equity charge on beginning book value.
• Covenant: contractual restriction or performance requirement in a debt agreement.
• Default risk: probability that a borrower will fail to make promised payments or breach a material obligation.

2. Discounted cash-flow valuation

2.1 FCFF valuation

The enterprise-value approach discounts FCFF at the weighted average cost of capital (WACC):

where EV₀ is current enterprise value, FCFFₜ is free cash flow to the firm in period t, n is the explicit forecast horizon and TVₙ is terminal value at the end of period n. Under a constant-growth terminal model:

where g is the perpetual growth rate. The formula requires WACC > g, and g must be economically sustainable over the assumed perpetuity. It is not appropriate to assume that a high short-term growth rate continues forever.

A common FCFF construction is:

EBIT is operating profit before interest and tax, T is the marginal tax rate applicable to operating income, D&A is depreciation and amortisation, Capex is capital expenditure and ∆NWC is the increase in operating net working capital. The terms should be measured consistently: annual currency units, nominal or real terms, and the same tax and inflation basis as the discount rate.

2.2 WACC and its components

WACC is the required return on the firm’s operating assets, weighted by the market values of debt and equity:

E is the market value of common equity, D is the market value of interest-bearing debt, Rₑ is the required return on equity, R_d is the pre-tax cost of debt and T is the relevant corporate tax rate. The after-tax debt cost reflects the tax deductibility of interest, where such deductibility is available and sustainable.

The cost of equity may be estimated using the capital asset pricing model:

R_f is the risk-free rate, βₑ is the equity beta and R_m − R_f is the expected market risk premium. CAPM is an estimation framework, not a law. Beta, risk premiums and capital structure assumptions may be unstable, especially for private firms or firms undergoing financial distress.

WACC is appropriate for projects whose operating risk and financing characteristics are comparable with those of the firm. A project with materially higher or lower business risk should generally be evaluated using a project-specific discount rate or an adjusted present-value approach. Book-value weights may be used when market values are unavailable, but they are usually less theoretically appropriate than market-value weights.

2.3 Worked FCFF example

Assume a three-year forecast. The present value of FCFF for years 1 and 2 is calculated as CU69.00. Year-3 FCFF is CU470.86 and WACC is 10%. The year-3 cash flow has present value:

Therefore, if no terminal value is included in this deliberately limited illustration:

This is an enterprise value, not an equity value. If debt is CU120 and excess cash is CU20, then:

If there are 50 million shares, estimated value per share is CU6.46. The result is meaningful only if the cash flows, discount rate, debt definition and share count are internally consistent.

2.4 Dividend-discount models

For a share whose dividends are the relevant cash flows:

Dₜ is dividend per share in period t and P₀ is current value per share. Under constant perpetual growth:

This Gordon growth model requires Rₑ > g and a stable long-run dividend policy. It is unsuitable for firms with unpredictable dividends, rapidly changing payout policies or growth assumptions close to the required return. A multi-stage model is preferable where high growth is expected to decline toward a mature rate.

Dividends are not identical to earning power. A firm may retain cash to finance profitable investment, while another may distribute cash despite weak underlying performance. Dividend valuation is therefore particularly sensitive to payout policy and financial flexibility.

2.5 Residual-income valuation

Residual-income valuation is useful when book value and accounting income contain information but dividends or cash flows are difficult to forecast. To avoid dimensional ambiguity, all variables below are per share:

P₀ is value per share, BV₀ is beginning book value per share, RIₜ is residual income per share, EPSₜ is earnings per share and BVₜ₋₁ is beginning book value per share. The terminal residual-income value must be specified consistently with the assumed persistence of abnormal earnings.

The model follows from the clean-surplus relation, under which changes in book value per share equal earnings per share minus dividends per share, excluding certain direct-to-equity items. If clean-surplus accounting does not hold, adjustments may be required. Residual income is positive when earnings exceed the required return on beginning equity capital; high earnings alone do not guarantee value creation.

2.6 Market multiples

Relative valuation compares a firm with selected peers:

Common multiples include price-to-earnings, price-to-book, EV/EBITDA and EV/sales. The numerator and denominator must match. EV/EBITDA should be compared with operating metrics before interest and generally before depreciation and amortisation; P/E is an equity multiple and should be applied to earnings attributable to common shareholders.

A multiple reflects expected growth, risk, margins, capital intensity, accounting policy and capital structure. Peer selection should consider industry, geography, size, growth, profitability and risk. A mechanical average of incompatible companies can create false precision. Analysts should explain whether the selected multiple is based on trailing, current or forward data and whether extraordinary items have been normalised.

3. Credit analysis and default risk

3.1 The lender’s question

An equity investor participates in residual upside; a lender primarily asks whether promised principal and interest will be paid on time. Credit analysis therefore emphasizes downside capacity, liquidity, collateral, covenant headroom and refinancing risk.

A structured credit review examines:

• Business risk: industry cyclicality, competition, customer concentration and operating leverage.
• Financial risk: leverage, earnings volatility, cash conversion and maturity structure.
• Liquidity: cash balances, committed facilities, working-capital needs and near-term maturities.
• Security and recovery: collateral quality, priority, guarantees and liquidation value.
• Management and governance: financial controls, disclosure quality, related-party transactions and willingness to support creditors.
• External conditions: interest rates, exchange rates, regulation and macroeconomic stress.

3.2 Core credit ratios

The current ratio is:

It is a broad liquidity indicator but can be inflated by slow inventory or doubtful receivables. The quick ratio excludes less-liquid inventories:

Debt-to-equity and debt-to-assets measure balance-sheet leverage, but definitions vary. Analysts must state whether debt includes leases, preferred claims, overdrafts or only funded borrowings.

An operating leverage indicator is:

This ratio can be misleading when EBITDA is negative, unusually high, or calculated before necessary maintenance expenditure. It should not be treated as a direct measure of repayment capacity.

3.3 Interest coverage and the cash-flow classification problem

Traditional interest coverage is:

It measures accounting capacity before interest and taxes. A cash-based measure may be stated as:

However, this ratio can be misleading because CFO may already be calculated after cash interest paid, depending on the cash-flow statement classification and reporting framework. Dividing a post-interest cash flow by interest paid does not measure cash available before interest; it measures remaining operating cash after that payment relative to the payment.

The analyst must identify the reporting convention. A pre-interest cash-flow adjustment can be constructed as:

If CFO is already presented before interest paid, no addition should be made. If cash taxes are also being analysed, the definition should state whether taxes are before or after interest tax effects. A more transparent measure is therefore:

The numerator and denominator must cover the same period and currency basis. Lease interest, capitalised interest and cash fees should be addressed explicitly where material.

3.4 Covenants

Covenants reduce creditor–borrower agency problems by restricting actions or requiring financial performance. They may be:

• Maintenance covenants, tested periodically, such as maximum leverage or minimum interest coverage.
• Incurrence covenants, triggered when the borrower takes an action, such as issuing additional debt or paying dividends.
• Affirmative covenants, requiring reporting, insurance, tax payment or maintenance of assets.
• Negative covenants, restricting liens, asset sales, acquisitions or distributions.

Covenant calculations may differ from GAAP or IFRS figures. Definitions can include permitted adjustments, add-backs, pro forma acquisitions and baskets. Analysts should reconcile reported figures to the contractual definition rather than assume that a published ratio is the covenant ratio.

Covenant headroom can be expressed as:

For a minimum coverage covenant, the direction reverses: headroom equals actual coverage minus the minimum requirement. A narrow headroom indicates vulnerability even if no breach has occurred.

3.5 Default probability and expected loss

A simplified expected-credit-loss framework is:

PD is probability of default, LGD is loss given default as a proportion of exposure and EAD is exposure at default. In a more complete discounted framework, expected cash shortfalls are probability-weighted and discounted using an appropriate effective interest rate. The simple formula is an approximation and should not be presented as a complete credit-pricing model.

Default risk is not determined by leverage alone. A highly leveraged firm with stable contracted cash flows may be less risky than a less-leveraged firm with volatile cash flows and imminent refinancing needs. Maturity walls, floating-rate exposure, foreign-currency debt and covenant elasticity are especially important.

4. Sustainable growth and financing capacity

The sustainable-growth framework links retention, profitability and leverage. Under stable conditions and a constant equity-financing policy:

where g is sustainable growth, b is the retention ratio and ROE is return on equity. The retention ratio is:

If ROE is decomposed using DuPont analysis:

The relation is most useful as an analytical benchmark, not a guarantee. It assumes stable profitability, payout, asset productivity and leverage. Growth above this rate may require new equity, additional debt, lower distributions, higher operating efficiency or asset sales. Growth below it may produce excess cash or indicate underinvestment.

For example, if ROE is 15% and the firm retains 60% of earnings:

A forecast of 18% growth is therefore not automatically impossible, but it requires an identified financing or operating change. The analyst should test whether the additional borrowing would weaken coverage or violate covenants.

5. Integrating evidence into recommendations

A recommendation should connect evidence, model output and decision consequences. A useful format is:

Investment recommendations should distinguish estimated value from market price and identify the assumptions driving the difference. Lending recommendations should specify amount, maturity, security, pricing, covenants, reporting requirements and trigger events. Managerial recommendations should identify actions that improve cash generation, risk control or value creation rather than merely improve a ratio.

Scenario and sensitivity analysis

At minimum, analysts should vary revenue growth, operating margin, working-capital intensity, capital expenditure, discount rate, terminal growth and refinancing cost. A sensitivity table may show value under alternative WACC and terminal-growth assumptions. Extreme combinations should be economically plausible; using a terminal growth rate close to or above WACC is mathematically unstable and economically suspect.

6. Illustrative integrated case

This is a fictional illustrative case.

Background

Northstar Components has reported three years of revenue growth and rising EBITDA. It seeks a five-year bank loan to expand capacity. The bank is concerned because trade receivables have grown faster than sales, the company has a large floating-rate debt balance and a covenant requires net debt/EBITDA not to exceed 3.5×.

Problem

Management presents EBITDA of CU48 million, debt of CU150 million and cash of CU12 million. It reports CFO of CU20 million and cash interest paid of CU8 million. The proposed dividend is CU6 million. The bank must decide whether to lend and on what terms. An investor is also considering whether the equity is attractively priced.

Analysis

Net debt is CU138 million, so reported net debt/EBITDA is:

This appears below the 3.5× covenant. However, due diligence finds that CU5 million of EBITDA is an unusual supplier rebate unlikely to recur. Adjusted EBITDA is CU43 million, producing:

The covenant remains satisfied but headroom is materially smaller.

The reported CFO of CU20 million is after cash interest under the company’s cash-flow classification. Assuming no cash interest received, pre-interest CFO is:

Post-interest CFO divided by interest is 2.5×, but this is not a pre-interest coverage ratio. Pre-interest cash coverage is:

The distinction must be disclosed because the two ratios answer different questions. After the proposed dividend, cash available before new investment would be CU14 million, and planned capital expenditure is CU18 million. The expansion therefore requires external funding or a reduction in distributions.

Receivables have grown 22% while sales have grown 12%. The analyst should inspect ageing, subsequent cash receipts, credit notes and customer concentration. If the increase represents weak collection rather than genuine growth, forecast working-capital investment should be raised and FCFF reduced.

Approach and recommendation

The bank should not reject the loan solely because the headline ratios pass. A prudent structure could include a lower borrowing amount, a leverage covenant based on adjusted EBITDA, a minimum liquidity requirement, restrictions on dividends while headroom is narrow, quarterly reporting and a requirement to hedge a portion of floating-rate exposure. The investor should value the company using normalised EBITDA and realistic working-capital investment, then compare the resulting equity value with the market price.

Outcome and learning points

The case illustrates four principles: covenant compliance is not equivalent to credit safety; accounting adjustments can change leverage; cash-flow classifications affect coverage interpretation; and growth plans must be tested against financing capacity. A recommendation is strongest when it states both the base case and the conditions under which the conclusion would change.

7. Limitations, governance and contemporary practice

Valuation models are sensitive to assumptions and can create an appearance of precision. Analysts should document sources, reconcile forecasts to historical statements, distinguish fact from estimate and disclose conflicts of interest. Selective use of adjusted EBITDA, optimistic terminal growth or omission of lease liabilities can mislead users even when calculations are arithmetically correct.

Governance controls should include independent review of forecasts, approval of model changes, version control and clear ownership of covenant calculations. Analysts should consider whether management incentives encourage earnings management, premature revenue recognition, under-provisioning or excessive leverage.

Technology can improve extraction and comparison of financial data, but artificial-intelligence tools require human validation. Automated systems may misclassify debt, fail to recognise unusual transactions, reproduce historical bias or generate unsupported forecasts. Professional judgement remains necessary for accounting quality, scenario design and ethical interpretation. A model output should be treated as evidence for analysis, not as an unquestionable conclusion.

Chapter Summary

Valuation and credit analysis convert financial-reporting evidence into estimates of economic value and repayment capacity. FCFF valuation requires consistent cash flows, terminal assumptions and a WACC that reflects the risk and capital structure of the operating assets. WACC combines the market-value-weighted cost of equity with the after-tax cost of debt, subject to appropriate tax and risk assumptions. Dividend models value distributable cash, residual-income models add discounted excess earnings to beginning book value, and market multiples provide relative rather than intrinsic valuation.

Credit analysis focuses on liquidity, leverage, coverage, maturity, collateral, covenants and governance. Cash interest coverage must be interpreted in light of whether CFO is reported before or after interest; a pre-interest adjustment avoids misleading comparisons. Sustainable growth links retention and ROE but requires financing and operating assumptions to be tested. Effective recommendations use normalised data, scenario analysis, explicit uncertainty and ethical professional judgement.

Key Terms

Enterprise value: Value of operating assets before allocation between debt and equity.

Equity value: Value attributable to common shareholders.

FCFF: Cash flow available to all providers of capital.

FCFE: Cash flow available to common equity holders.

WACC: Market-value-weighted required return on debt and equity capital.

Cost of equity: Return required by common shareholders for bearing equity risk.

Terminal value: Value of cash flows beyond the explicit forecast period.

Dividend-discount model: Valuation model based on expected dividends per share.

Residual income: Earnings per share less the equity charge on beginning book value per share.

Clean-surplus relation: Relation in which changes in book value reflect earnings less distributions, subject to specified adjustments.

Market multiple: Ratio used to infer value from a comparable financial metric.

Liquidity: Ability to meet obligations as they fall due.

Leverage: Use of debt or other fixed claims to finance assets.

Covenant: Contractual requirement or restriction in a lending agreement.

Covenant headroom: Distance between an actual measure and a covenant threshold.

Probability of default: Estimated likelihood that a borrower will default.

Loss given default: Proportion of exposure expected to be lost after default.

Sustainable growth: Growth supportable by retained earnings under stated operating and financing assumptions.

Normalisation: Adjustment of reported results to remove non-recurring or non-comparable items.

Review Questions

Short Answer Questions

1. Distinguish enterprise value from equity value.
2. Define WACC and identify its four principal inputs.
3. Why must a Gordon growth model satisfy Rₑ > g?
4. Explain why covenant compliance does not necessarily imply low credit risk.
5. What is the purpose of normalising EBITDA?

Long Answer Questions

1. Explain the FCFF valuation model, including the construction of FCFF, WACC and terminal value. State the principal assumptions and limitations.
2. Compare dividend-discount, residual-income and market-multiple valuation models.
3. Discuss how accounting quality affects credit analysis and investment valuation.
4. Explain maintenance, incurrence, affirmative and negative covenants, with examples of how each may affect lending decisions.
5. Critically evaluate the sustainable-growth model and its relationship to financing capacity.

Analytical / Application Questions

1. A company reports CFO of CU32 million, cash interest paid of CU10 million and cash interest received of CU2 million. Assume CFO is after interest paid and after interest received. Calculate pre-interest CFO and pre-interest cash coverage. State the classification assumption.
2. A firm has EBIT of CU60 million, a tax rate of 25%, D&A of CU9 million, capital expenditure of CU22 million and an increase in operating working capital of CU7 million. Calculate FCFF and explain one reason why the result may not equal cash available for dividends.
3. A borrower has debt of CU180 million, cash of CU15 million and reported EBITDA of CU55 million, including CU6 million of non-recurring income. Calculate reported and adjusted net debt/EBITDA, then recommend two lending responses if the covenant limit is 3.5×.

Multiple Choice Questions with Answers

Question 1

Using the FCFF illustration, what is the present value of CU470.86 received in year 3 at a 10% discount rate?

A. CU353.76

B. CU364.11

C. CU422.76

D. CU470.86

Correct Answer: A. CU353.76

Question 2

Which formula correctly represents WACC under the stated assumptions?

A. E ÷ (D + E) × Rₑ + D ÷ (D + E) × R_d × (1 − T)

B. E ÷ D × Rₑ + D ÷ E × R_d

C. Rₑ + R_d + T

D. EBIT ÷ Interest expense

Correct Answer: A. E ÷ (D + E) × Rₑ + D ÷ (D + E) × R_d × (1 − T)

Question 3

If CFO after cash interest is CU20 million and cash interest paid is CU8 million, assuming no cash interest received, what is pre-interest CFO?

A. CU12 million

B. CU20 million

C. CU28 million

D. CU160 million

Correct Answer: C. CU28 million

Question 4

Why can CFO ÷ cash interest paid be misleading as a pre-interest coverage measure?

A. CFO may already be reported after cash interest paid

B. Cash interest is never included in cash-flow statements

C. CFO is always equal to EBIT

D. Interest paid is an equity distribution

Correct Answer: A. CFO may already be reported after cash interest paid

Question 5

In the residual-income model, which variables must be measured consistently on a per-share basis in the stated formulation?

A. P₀, BV, EPS and RI

B. P₀ and total assets only

C. Debt and EBITDA only

D. Revenue and market capitalisation only

Correct Answer: A. P₀, BV, EPS and RI

Question 6

A firm has ROE of 15% and retains 60% of earnings. Under the simple sustainable-growth model, estimated growth is:

A. 6%

B. 9%

C. 15%

D. 25%

Correct Answer: B. 9%

Question 7

A company has net debt of CU138 million and adjusted EBITDA of CU43 million. Its adjusted net debt/EBITDA is closest to:

A. 2.21×

B. 2.88×

C. 3.21×

D. 3.50×

Correct Answer: C. 3.21×

Question 8

Which condition is required for the constant-growth terminal-value formula TVₙ = FCFFₙ₊₁ ÷ (WACC − g)?

A. g must exceed WACC

B. WACC must exceed g

C. WACC must equal g

D. FCFF must be negative

Correct Answer: B. WACC must exceed g

Question 9

Which is an example of a maintenance covenant?

A. A maximum net debt/EBITDA ratio tested quarterly

B. A restriction triggered only when new debt is issued

C. A requirement to insure pledged assets

D. A prohibition on selling a specific asset

Correct Answer: A. A maximum net debt/EBITDA ratio tested quarterly

Question 10

If debt is CU120 million, excess cash is CU20 million and enterprise value is CU422.76 million, what is equity value?

A. CU282.76 million

B. CU322.76 million

C. CU362.76 million

D. CU562.76 million

Correct Answer: B. CU322.76 million