If a company has no quoted price, the easiest way to give it one is to borrow the market’s opinion about similar companies. Quoted companies trade at a price that bears a certain relationship to their earnings, dividends and cash profits. A valuer can find that relationship for companies like the one being valued, and apply it to the target’s own earnings, dividends or profit before interest.
This is market-based or income-based valuation. It is quick, it is rooted in prices that investors actually pay. It is the most common way of putting a number on a private company or setting a flotation or takeover price. But it relies on two judgements, the profit figure to use and the multiple to apply, and neither can be settled by calculation.
This topic explains the price/earnings (P/E) ratio method, the earnings yield method, the dividend yield method and the enterprise value to earnings before interest, tax, depreciation and amortisation (EV/EBITDA) multiple, including how to adjust for the lower marketability of unquoted shares, what a multiple tells you and what it hides, and the advantages and weaknesses of each, with worked examples. The next topic covers valuation by dividends.
The syllabus asks for the estimate of business value using the price/earnings ratio, earnings and dividend yield, and enterprise value multiples. Read asset-based valuation first.
In 30 seconds
P/E method: value = earnings per share (EPS) × an appropriate P/E ratio, normally the average of similar quoted companies, adjusted for the lower marketability of a private company (often a 10% to 30% reduction). Earnings yield method: value = earnings ÷ earnings yield, where earnings yield = 1 ÷ P/E; use a higher yield for a private company. Dividend yield method: value = dividend ÷ dividend yield, for small shareholdings with no control.
EV/EBITDA: enterprise value = market value of equity + preference shares + debt + minority interests − cash; multiply the target’s EBITDA by the comparable multiple to get an enterprise value, then deduct net debt for the value of equity. The EV multiple is unaffected by capital structure. All depend on judgements about the profit figure and the multiple, and use accounting profit, not cash flow (except EBITDA, a rough cash proxy).
The price/earnings ratio method
The price/earnings ratio (P/E ratio) is the market price of a share divided by its annual earnings per share. For a quoted company it can be observed. For an unquoted one, the value is estimated:
Value of a share = EPS × estimated P/E ratio
The EPS may be last year’s, an average of recent years or a forecast. The P/E ratio is chosen from quoted companies in the same industry and with similar growth and risk. Example: an unquoted company has EPS of ₦20 last year and a forecast of ₦24. Four similar quoted companies have P/E ratios of 9, 11, 13 and 14, an average of 11.75.
Applying the average to the forecast EPS gives 24 × 11.75 = ₦282 a share. Because the shares are unquoted, and cannot be sold easily, a discount of, say, 20% is applied to the quoted ratio: ₦282 × 0.80 = ₦225.60. A more cautious valuer might use last year’s EPS and the lowest comparable ratio: 20 × 9 = ₦180. With 10m shares the first two give ₦2,820m and ₦2,256m. The range ₦180 to ₦282 shows how much depends on the choices.
What a P/E ratio means
A P/E ratio reflects the growth expected, the risk and the dividend policy of a company. If dividends are expected to grow at a constant rate, price = dividend × (1 + g) ÷ (Ke − g), so P/E = payout ratio × (1 + g) ÷ (Ke − g). With a payout of 60%, growth of 5% and a cost of equity of 14%, P/E = 0.6 × 1.05 ÷ 0.09 = 7.0.
Higher growth or lower risk raises the P/E; so a high-growth company deserves a higher multiple than the average, and a riskier one a lower one. The valuer must therefore adjust the average P/E for differences between the target and the comparables.
Advantages: simple, quick and based on market prices; widely used for flotations and takeovers, and a useful benchmark in negotiation.
Weaknesses: subjective choice of EPS and P/E; accounting earnings, not cash flows, can be manipulated and vary with accounting policy; comparable companies are never identical; the ratio of a quoted company contains the market’s expectations at one date and may be distorted by a rising or falling market; and it is meaningless for a loss-making company.
The earnings yield and dividend yield methods
The earnings yield is earnings per share ÷ price, the inverse of the P/E ratio: a P/E of 10 is an earnings yield of 10%. The method is a variation of the P/E method: value = earnings ÷ earnings yield.
A private company with earnings of ₦300m, where quoted companies in the industry offer an earnings yield of 10%, is worth 300 ÷ 0.10 = ₦3,000m. Since a private company is riskier and less liquid, a higher yield should be used, say 12%: 300 ÷ 0.12 = ₦2,500m. The criticisms are the same as for the P/E method: the choice of yield and the earnings figure is arbitrary.
The dividend yield method values a share by its dividend and a suitable yield: value = dividend per share ÷ dividend yield. It is used to value small shareholdings, where the shareholder has little say in the company and is interested only in the income. A dividend of ₦5 a share and a yield on similar quoted shares of 6% gives ₦5 ÷ 0.06 = ₦83.33; a higher yield of 8% for an unquoted company gives ₦5 ÷ 0.08 = ₦62.50.
It is not suitable for valuing control, since a controlling owner can change the dividend.
The enterprise value multiple: EV/EBITDA
Enterprise value (EV) is the value of the business to all its providers of capital: EV = market capitalisation of equity + preference shares + debt + minority interests − cash and cash equivalents. The EV/EBITDA multiple is EV divided by earnings before interest, tax, depreciation and amortisation.
Because EV includes debt and EBITDA is before interest, the multiple is independent of how the company is financed and can be compared between companies with different gearing. Ignoring depreciation also removes differences in accounting policy and the age of assets. The method:
- Find a comparable company and calculate its EV and its multiple.
- Multiply the target’s EBITDA by the multiple to give the target’s enterprise value.
- Deduct the target’s net debt (debt less cash) to give the value of equity.
- Allow for the lower marketability of an unquoted company’s shares, if appropriate.
Example: the comparable company, Kola, has 15m shares at ₦8.00 (equity ₦120m), debt at market value ₦40m and cash ₦10m. EV = 120 + 40 − 10 = ₦150m. Its EBITDA is ₦30m, so the multiple is 150 ÷ 30 = 5.0 times. The target has EBITDA of ₦48m and net debt of ₦20m (debt ₦25m, cash ₦5m). Its EV = 5.0 × 48 = ₦240m; equity = 240 − 20 = ₦220m; and with a 25% discount for unquoted shares, 220 × 0.75 = ₦165m.
The multiple can be calculated on historic or forecast EBITDA; a multiple on forecast figures is usually lower and should be applied to the target’s forecast.
What the multiple tells you
An EV/EBITDA multiple of 5 means the buyer pays five times the annual EBITDA, so it would take about five years of EBITDA, before tax, interest and capital spending, to repay the price. A multiple much higher than comparable deals suggests overpaying; but a high multiple may reflect growth, a strong market position, or a high quality of earnings. A low one may reflect poor prospects.
Multiples depend on capital intensity, the nature of the business, competitive position and the sustainability of cash flows.
Advantages: unaffected by capital structure; takes net debt into account; strips out differences in depreciation, tax and capital spending; widely used by investors. Disadvantages: simplistic (many value drivers in one number); ignores capital expenditure and tax, which can matter (a business with heavy capital spending needs far more than its EBITDA to stand still); static; and hard to compare when there are many differences.
The ideas in more depth
Why unquoted shares are discounted
A quoted share can be sold at once at a known price; an unquoted share cannot. An investor needs a higher return, and so pays less, for an asset that is hard to sell, and a minority holder in a private company has little control over dividends or the timing of a sale.
Studies of private sales show discounts of the order of 20% to 30%; a valuer states the discount used and the reason, and a controlling stake, which can be sold with the whole company, needs less discount than a minority holding.
Why EV is used with EBITDA and equity with earnings
Earnings belong to shareholders after interest, so they match the value of the equity (P/E and earnings yield). EBITDA is before interest, so it matches the value of the whole enterprise, equity plus debt. Pairing an EV with earnings, or equity value with EBITDA, is a mismatch and gives nonsense. That is why EV must be reduced by net debt to find the value of the equity.
Sources and references
- No accounting standard prescribes valuation multiples; they are market conventions. EBITDA is not defined by accounting standards, so state its definition. For the fair value hierarchy of inputs see International Financial Reporting Standard (IFRS) 13 Fair Value Measurement.
These points are stated as at 5 November 2026.
Worked examples
Example 1: the P/E method. EPS ₦24; average P/E 11.75; unquoted discount 20%. Required: the value per share.
- Before discount.
24 × 11.75 = ₦282. - After discount.
282 × 0.80 = ₦225.60.
Example 2: the earnings yield. Earnings ₦300m; earnings yield 12%. Required: the value.
- Value.
300 ÷ 0.12 = ₦2,500m.
Example 3: EV/EBITDA. Multiple 5.0; EBITDA ₦48m; net debt ₦20m. Required: the equity value.
- EV.
5.0 × 48 = ₦240m. - Equity.
240 − 20 = ₦220m.
How to answer in the exam
- Select the profit figure (historic, average or forecast) and say why.
- Select and justify the multiple from comparables and state any discount.
- Match the multiple to the right measure: equity value for earnings and dividends, EV for EBITDA.
- Comment on limits and give a range.
Common mistakes in the exam
- Using the P/E ratio of a quoted company without adjusting for an unquoted target.
- Forgetting to deduct net debt from the enterprise value.
- Using total market value of debt, not net of cash, for the target.
- Applying a historic multiple to forecast earnings, or the reverse.
- Using a lower yield for a private company instead of a higher one.
- Applying the dividend yield method to value a controlling stake.
Quick revision
- Value = EPS × P/E; earnings yield = 1 ÷ P/E; dividend yield for small holdings.
- EV = equity + preference + debt + minorities − cash.
- EV/EBITDA × EBITDA = EV; less net debt = equity.
- Discount for unquoted shares; all methods rest on judgement.
Practice questions
These are original questions written in the style of the Institute’s exams. Try each one before you open the answer. Section A is a recall check, because the paper itself is written.
Recall check: multiple choice
Question 1. The price/earnings ratio is:
- Earnings ÷ price
- Dividend ÷ price
- Share price ÷ earnings per share
- Price × earnings
Show the answer
C. How many times earnings the price is.
Question 2. In the P/E method the value of a share is:
- Dividend ÷ EPS
- EPS × an estimated P/E ratio
- EPS ÷ P/E
- Net assets
Show the answer
B. With the ratio taken from similar quoted companies.
Question 3. The earnings yield is:
- The inverse of the P/E ratio
- The P/E ratio
- The dividend yield
- EPS × price
Show the answer
A. A P/E of 10 is a yield of 10%.
Question 4. For a private company, relative to quoted comparables, use:
- A lower earnings yield
- The same yield
- No yield
- A higher earnings yield
Show the answer
D. It is riskier and less liquid.
Question 5. The dividend yield method suits:
- Controlling stakes
- Small shareholdings with no control
- Takeover bids
- Asset valuations
Show the answer
B. The holder is interested only in income.
Question 6. Enterprise value equals:
- Equity + preference shares + debt + minority interests − cash
- Equity only
- Debt less equity
- Net assets
Show the answer
A. The value to all providers of capital.
Question 7. The EV/EBITDA multiple is useful because it is:
- Affected by gearing
- Based on cash flow exactly
- Unaffected by the capital structure
- Always accurate
Show the answer
C. It is before interest.
Question 8. A weakness of the P/E method is that it is:
- Complex
- Slow
- Based on cash
- Subjective and based on accounting earnings
Show the answer
D. The EPS and the ratio are judgements.
Question 9. The equity value from an enterprise value is found by:
- Adding net debt
- Multiplying by EBITDA
- Deducting net debt
- Adding cash only
Show the answer
C. EV less debt plus cash.
Question 10. A discount for unquoted shares reflects their:
- Lack of marketability
- High dividends
- Low risk
- Tax status
Show the answer
A. They cannot be sold easily.
Section B style: written questions
Question 11 (10 marks). (a) State the formula for the P/E method and the sources of the ratio. (3 marks) (b) State THREE weaknesses. (3 marks) (c) State why EV/EBITDA is not affected by gearing. (4 marks)
Question 12 (15 marks). An unquoted company had EPS of ₦15 last year and forecasts ₦18. Three similar quoted companies have P/E ratios of 10, 12 and 14. A 15% discount is allowed for lack of marketability. (a) Calculate the average P/E ratio. (3 marks) (b) Calculate the value per share before the discount. (4 marks) (c) Calculate it after the discount. (4 marks) (d) State why the forecast EPS is used. (4 marks)
A further written question
Question 13 (20 marks). A quoted company has 20m shares at ₦3.20, debt at market value ₦30m, cash ₦4m, historic EBITDA ₦15m and forecast EBITDA ₦18m. An unquoted target has EBITDA of ₦8m (historic) and ₦9m (forecast) and net debt of ₦12m.
(a) Calculate the enterprise value of the comparable. (4 marks) (b) Calculate the historic and forecast multiples. (4 marks) (c) Calculate the target’s enterprise value and equity value on each basis. (8 marks) (d) Apply a 20% marketability discount. (4 marks)
Model answers
Show the model answer to Question 11
(a) Value per share = EPS × estimated P/E (1); EPS may be historic, average or forecast; the P/E comes from similar quoted companies, adjusted for differences (2).
(b) Subjective choices; accounting earnings not cash flow; no two companies are alike; distorted by the market at one date (1 each, any three).
(c) EV includes debt and EBITDA is before interest, so the multiple measures the whole business to all providers of capital, whatever the mix of debt and equity (4).
Show the model answer to Question 12
(a) (10 + 12 + 14) ÷ 3 = 12 (3).
(b) 18 × 12 = ₦216 (4).
(c) 216 × 0.85 = ₦183.60 (4).
(d) Value depends on future earnings, so a forecast is more relevant than the past, though it is less certain (4).
Show the model answer to Question 13
(a)
- Equity 3.20 × 20m = ₦64m
- EV = 64 + 30 − 4 = ₦90m (4).
(b)
- Historic 90 ÷ 15 = 6.0
- forecast 90 ÷ 18 = 5.0 (4).
(c)
- Historic.
6.0 × 8 = 48, less 12 = ₦36m (4) - forecast.
5.0 × 9 = 45, less 12 = ₦33m (4).
(d) 36 × 0.80 = ₦28.8m and 33 × 0.80 = ₦26.4m (4).
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