Chapter 10

Valuation Principles

Fundamental Methods for Business and Investment Valuation

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πŸ“š Learning Objectives

After studying this chapter, you should know about:

  • Need for business valuations and sources of value in a business
  • Various approaches to valuation
  • Different types of business valuation models
  • Objectivity of valuations and important considerations in business valuation
The Foundation: Price vs. Value β€” market price line (volatile, set by the most panicked seller or crowd emotion) oscillating around a steadily rising Intrinsic Value line (determined by cash flows and assets); the Zone of Opportunity / Divergence marks when price dips far below intrinsic value; Seth Klarman quote:
Price and intrinsic value are not the same thing β€” price is universally known and driven by market emotion, while value is an educated estimate requiring analysis, judgment, and due diligence; the gap between them is where investment opportunity lives.

10.1 Difference between Price and Value

Mr. Seth Klarman, a known value investor stated: "In capital markets, price is set by the most panicked seller; value, which is determined by cash flows and assets, is not. This is both the challenge and the opportunity of investing: to carefully sift through the markets to find the greatest divergence between price and value, and to concurrently avoid the extreme emotions of the crowd and, indeed, to take a stand against them."

Warren Buffett is also known to state frequently: "Price is what you pay and Value is what you get."

Price and value are two different concepts in investing. While price is available from the stock market and known to all, value is based on the evaluation and analysis of the valuer at a point in time.

There is no formula or method to put to throw a precise number on valuation of an asset. There are uncertainties associated with the inputs that go into the valuation process. As a result, the final output can at best be considered an educated estimate, provided adequate due diligence associated with valuing the asset has been complied with. That is the reason, valuation is often considered an art as well as a science. It requires the combination of knowledge, experience and professional judgment in arriving at a fair valuation of any asset.

Three Blueprints for Valuation: overview of the three approaches β€” Cost-Based Valuation (value equals the cost to create or recreate the asset; primary inputs: technical assessment, engineering costs; ideal for strategic buy-vs-build decisions, rarely used by financial investors), Intrinsic Valuation (value is what an investor will pay today for future cash flows; primary inputs: expected cash flows, discount rates; ideal for businesses with predictable long-term earnings), Relative Valuation (value is determined by what the market pays for similar assets; primary inputs: P/E, P/B, EV/EBITDA; ideal for quick market-mood estimates and M&A comparables)
Every valuation exercise draws on one or more of these three blueprints β€” cost-based anchors value to replacement cost, intrinsic methods anchor it to future cash flows, and relative methods anchor it to what similar assets trade for in the market today.

10.2 Why Valuations are required

While purpose of carrying out valuation could vary from person to person, some of the reasons for carrying out valuations of assets/businesses/liabilities are as follows:

Whatever may be the objective of valuation, the purpose of valuation is to relate price to value and estimate if it is fairly priced, over-priced or under-priced. Given the limitations in the valuation process, valuers typically present multiple scenarios that reflect the effect of a change in the primary variables on the output value.

The Two Sources of Value β€” Business Value supported by two pillars: The Earnings Pillar (periodic cash flows generated over the life of the asset; lenders primarily focus here, ensuring the business generates enough cash to meet obligations) and The Asset Pillar (potential cash realized from the sale or liquidation of tangible and intangible assets); structural warning: assets may be worth far less than their balance sheet appearance, but outstanding liabilities must be settled in full β€” collateral is only a fall-back mechanism
Any business derives its value from two fundamentally different sources β€” the stream of earnings it generates over time and the asset base that could be liquidated if those earnings disappoint; a sound valuation always considers both pillars rather than relying exclusively on one.

10.3 Sources of Value in a Business – Earnings and Assets

Warren Buffett stated: "There are only two sources of value in a business - Earnings and Assets". Any asset, whether a financial asset such as a stock or a bond, or a real asset generates two streams of cash flows - periodic earnings and a final inflow on sale of the asset.

Important Note: The capability of the business assets to pay up all liabilities and settle the equity holders is always doubtful. Assets may be worth a lot less than what they appear for in the balance sheet. But the outstanding liabilities have to be settled in full.

Three Blueprints for Valuation β€” detailed comparison: Cost-Based Valuation (core philosophy: value equals the cost to create or recreate the asset; primary inputs: technical assessment, engineering costs; ideal use case: strategic investors deciding whether to buy vs. build; rarely used by financial investors), Intrinsic Valuation / DCF (core philosophy: value is what an investor will pay today for future cash flows; primary inputs: expected cash flows, discount rates β€” risk-neutral or real-world; ideal use case: businesses with predictable long-term earnings such as DCF models), Relative Valuation (core philosophy: value is determined by what the market pays for similar assets; primary inputs: P/E, P/B, EV/EBITDA ratios of peer companies; ideal use case: quick estimates reflecting current market mood, M&A comparables)
The three valuation blueprints are not interchangeable β€” cost-based works for capital replication decisions, DCF works when future cash flows are estimable, and relative valuation works when comparable market transactions exist; professional analysts triangulate all three and explain deviations rather than relying on a single method.

10.4 Approaches to valuation

Asset valuation can be broadly classified into three categories:

1. Cost based valuation

Under this approach, an asset is valued based on the cost that needs to be incurred to create it. This option is suitable only for a buyer who has choice between buying versus making. Most investors in the stock market typically do not have a choice to build and run a company on their own. Hence, this approach is generally not suitable for financial investors. However, strategic investors, who intend to carry on the business into the long term may consider using this approach.

2. Cash flow based valuation (intrinsic valuation)

Intrinsic valuation approach assigns value to an asset based on what an investor would be willing to pay for the cash flow generated by the assets. This approach typically involves valuing an asset by discounting its cash flow at a suitable rate that reflects the rate of return expected by an investor.

Intrinsic valuation can be divided into two categories:

3. Selling price based approach (relative valuation)

Under this approach an asset is valued based on the price of other similar assets. Various valuation ratios such P/E, P/B, EV/EBITDA can be used as the valuation metric.

The Mechanics of Intrinsic Value β€” DCF as three interlocking gears: Quantum (stream of future cash flows), Schedule (timing of cash flows), and Discount Rate (expected rate of return); together they produce Present Value; Bond vs. Equity Analogy: for bonds, quantum and timing of cash flows (coupons/redemption) are known with certainty and the discount rate matches prevailing interest β€” present value is exact; for equities, cash flows have perpetual life and both quantum and timing are unknown and highly uncertain, introducing a significant margin for error
DCF is conceptually simple mathematics β€” discounting future cash flows to present value β€” but the complexity arises entirely from uncertainty in the three inputs; the bond analogy makes this concrete: bonds have exact DCF values because their inputs are contractual, while equity DCF requires judgment at every step.

10.5 Discounted Cash Flows Model for Business Valuation

Bond Valuation Example

Consider a bond on offering which generates 9% as interest per annum and gets redeemed at the end of 10th year on its face value of Rs. 100,000. Current prevailing interest rates (or expected return by investors) in the economy are also 9% for this maturity and credit quality. What would be the value of this bond today?

The value of the bond is the present value of all the future cash flows discounted at prevailing interest rates of 9%. As both coupon and expected rate (discount rate) are same, it would turn out to be face value viz Rs. 100,000. If expected rate of return by investors is higher (lower) than 9%, then bond would have value less (more) than Rs. 100,000.

This is an example of discounted cash flows model for bond valuation. Actually, every asset or liability is priced the same way. Assets are acquired at a cost and the expectation is for these assets to generate a combination of earnings and/or capital gains (on sale of assets).

If the bond is replaced with equity, the coupons will be replaced with dividends and redemption value by expected sales proceeds from sale of equity. However, in case of bonds, both quantum of cash flows and their timings were known with certainty, in case of equity quantum of cash flows (dividends or sales price) and their timings are unknown and uncertain.

Conceptually, discounted cash flow (DCF) approach to valuation is the most appropriate approach for valuations when three things are known with certainty:

  • Stream of future cash flows
  • Timings of these cash flows, and
  • Expected rate of return by the investors (called discount rate)

There are three different approaches to DCF models:

Which DCF Model Should You Use? β€” decision tree: Does the company pay regular, predictable dividends? Yes β†’ Use Dividend Discount Model (DDM), ideal for mature defensive industries, formula P = D1/(kβˆ’g); No β†’ Does the company have a stable, objective debt policy? Yes β†’ Use Free Cash Flow to Equity (FCFE), values equity by discounting cash flows available to shareholders after capex, interest, and debt repayments; No β†’ Arbitrary debt assumptions will bias valuation β†’ Use Free Cash Flow to Firm (FCFF), values the entire enterprise before debt considerations, discounted via WACC
The DDM, FCFE, and FCFF models are not alternatives β€” they are tools calibrated to different corporate financial structures; companies with erratic dividends or complex capital structures demand FCFF because it sidesteps the leverage question entirely, while DDM is only reliable when dividends are the genuine return mechanism.

10.5.1 Dividend Discount Model (DDM)

Under this model, the expected future dividends of a company are discounted based on the cost of capital. This model is suitable for companies that pay regular and substantial dividend. Thus, this model is more suitable to matured companies in the defensive industry.

Unlike bonds, equities have perpetual life, theoretically. Further, dividend payments are not contractual in nature. Therefore, DDM involves making certain estimates and assumptions.

Gordon Growth Model

For a company with cost of equity k, and a dividend that is expected to grow at a constant rate g, the fair value of the shares (P) would be:

P = D₁ / (k - g)

Where D₁ refers to dividend expected to be received at the end of the year

10.5.2 Free Cash Flow to Equity Model (FCFE)

One of the problems in using DDM is that it is not possible to use for companies that do not pay dividends. Even some of the well performing companies may not pay substantial dividend as they may want to use it for reinvestment. For instance, Alphabet Inc. (parent company of Google) has never paid dividend.

The FCFE model provides an alternative to dividends. Under this model, equity is valued by discounting the free cash flow to equity share holders instead of the actual dividends paid by the company.

FCFE Calculation

Operating cash flow
(-) Capital expenditure
(-) Interest payments
(+/-) Net borrowings/(repayments)
= Free cash flow to equity
            

FCFE models are most likely to be useful for companies that are in "high growth" phase. However, if a company is in high growth phase, it would be inappropriate to assume a constant growth rate for the cash flows. The growth rate the company may be experiencing is likely to be very high (unsustainable in the long run) and may also be higher than the cost of capital.

In such cases, it would be appropriate to value the cash flows of the company in two stages:

Value of the equity = Present value of FCFE during high growth phase + Value of perpetual stream of FCFE after high growth phase (referred as terminal value)

Unpacking the Firm's Free Cash Flow β€” FCFF formula as a waterfall of bar segments: EBIT Γ— (1 βˆ’ Tax Rate) [after-tax operating profit] + Depreciation & Non-cash Charges (amortization, loss on sale) βˆ’ Increase in Non-cash Working Capital βˆ’ Capital Expenditure Incurred (Capex) = Free Cash Flow to Firm (FCFF); FCFF represents the pure cash flow available to all sources of capital (both equity and debt holders) before financing costs; gains on the sale of assets are deducted from this calculation
FCFF strips out all financing effects to reveal the true cash-generating power of the operating business β€” it is calculated before any interest payments or debt repayments, which is why it must be discounted at WACC (the blended cost of all capital) rather than just the cost of equity.

10.5.3 Free Cash Flow to Firm Model (FCFF)

One of the major challenges in using the FCFE model is that, unless a company has an objective debt policy, it is not possible to objectively estimate the net borrowings / (repayment). If a company does not have a stated policy, the borrowings may have to be estimated using arbitrary considerations. This can lead to significant bias in valuation.

Thus, in many such cases, analysts prefer to use FCFF model. FCFF represents the free cash flow before taking into consideration any cash flows pertaining to any source of capital.

FCFF Calculation - Direct Method

Operating cash flow
(-) Capital expenditure
(-) Tax benefit on Interest payments
= Free cash flow to firm
            

FCFF Calculation - Indirect Method

EBIT Γ— (1 – Tax rate)
(+) Depreciation & Non-cash charges
(-) Increase in working capital
(-) Capital Expenditure
= Free cash flow to firm
            

Under the FCFF model, the value of the business (Enterprise value) is derived by discounting the FCFF. Since FCFF is the cash flow available to all sources of capital, discount rate is taken as the weighted average cost of capital (WACC) that factors all sources of capital and investors' expected return on the same.

Once the value of business is estimated, the value of equity is then derived by subtracting minority interest, preferred share capital and debt and by adding cash, cash equivalents and short term investment.

Valuing the Future: The Two-Stage Model β€” Phase 1: Unsustainable High Growth (higher than cost of capital; specific free cash flows forecast and discounted individually during this high-growth period); End of Forecast Period; Phase 2: The Terminal Phase (Perpetual Growth capped at long-term nominal GDP growth rate); three-step solution: (1) forecast specific FCFs during the high-growth phase and discount them; (2) calculate Terminal Value using the perpetual growth model, capping growth at the long-term nominal GDP growth rate; (3) alternatively, calculate Terminal Value using an expected exit multiple (EV/EBITDA)
The two-stage model solves DCF's biggest problem β€” no company can grow faster than the economy indefinitely; using a single growth rate massively overvalues high-growth firms, so the model separates the high-growth phase (explicitly modelled) from the terminal phase (where growth is capped at GDP), with Terminal Value typically representing 60–80% of total value.

10.5.4 Cost of Capital

The discount rate used in the DCF valuation should reflect the risks involved in the cash flows and therefore the expectations of the investors.

Capital Asset Pricing Model (CAPM)

Cost of equity is generally computed using CAPM:

Kβ‚‘ = Rβ‚“ + Ξ² Γ— (Rβ‚˜ – Rβ‚“)

Where:

  • Rβ‚“ = Risk Free Rate
  • (Rβ‚˜ – Rβ‚“) = Market risk premium (MRP)
  • Ξ² = Beta

Weighted Average Cost of Capital (WACC)

WACC = [Kβ‚‘ Γ— Wβ‚‘] + [Kₐ Γ— (1-Tx) Γ— Wₐ]

Where:

  • Kₐ = Cost of Debt
  • Wₐ = Weight of Debt
  • Kβ‚‘ = Cost of Equity
  • Wβ‚‘ = Weight of Equity
  • Tx = Tax rate
Engineering the Discount Rate β€” The Cost of Capital Funnel (CAPM): Risk-Free Rate (Rf) + Beta (Ξ²) + Market Risk Premium (Rm βˆ’ Rf) funnelled together β†’ Cost of Equity (Ke); CAPM compensates the investor for the systematic risk of the firm; The Capital Weighting Scale: Cost of Equity (Ke) weighted by Equity % (We) balanced against Cost of Debt (KdΓ—(1βˆ’Tax)) weighted by Debt % (Wd) β†’ WACC (Weighted Average Cost of Capital); WACC is the combined hurdle rate that blends the return expected by equity shareholders with the after-tax cost of borrowing from lenders
The discount rate is not a single number β€” it is built bottom-up via CAPM for equity (which compensates for systematic risk) then blended with the after-tax cost of debt via the capital weighting scale; WACC is the correct discount rate for FCFF because it represents the required return for all capital providers combined.

10.6 Relative valuation

As seen above, DCF method throws up a number on valuation based on stream of cash flows, their expected timings and a discount rate. It is a complicated method, given the assumptions which go into estimation of future cash flows.

Valuation exercise is undertaken to compare the price with value to arrive at whether a business is overpriced, under-priced or fairly priced by the market. This helps analysts make their recommendation – buy, sell or hold.

Instead of finding absolute valuation of business, we may like to compare 'what we get' with 'what we pay' to arrive at sense of valuation. What we pay is the price and what we get is the earnings and assets of the business. Therefore, if we can compare price with earnings and assets, we can get a sense of valuation – not the absolute valuation but whether something is cheap or expensive.

10.7 Earnings Based Valuation Matrices

10.7.1 Dividend Yield – Price to Dividend Ratio

Dividends are the profits that the company pays out to its equity holders. Well managed companies maintain a stable dividend payout to its investors even while ensuring that the growth prospects of the company are adequately funded, by ploughing back a portion of the profits.

Dividend Yield = Dividend per share (DPS) / Current price of stock

Consider a company with history of paying dividend of Rs. 5 or more over last 5 years including the last dividend. At different price points:

Price Dividend Div. Yield Price/Div.
50 5 10.00% 10
100 5 5.00% 20
150 5 3.33% 30
200 5 2.50% 40

If equity yields are in general higher than bond yields, clearly equity is available cheap. This is typically true when markets are down. On the other hand, during bull markets, equity yields are quite lower than the bond yields.

10.7.2 Earning Yield - Price to Earnings Ratio

When dividend yields are quite low, market analysts move to earning yields, a step higher to consider the investment potential in a stock.

Earning Yield = Earnings Per Share (EPS) / Current price of stock

The reciprocal of Earning Yield is:

Price to Earnings Ratio = Current price of stock / Earnings Per Share (EPS)

EPS represent the net profit divided by number of shares. Generally, only a part of the EPS is distributed as dividend and part is retained by the company for future expansion.

The PE ratio indicates the amount of money an investor needs to invest to receive 1 unit of profit. It is calculated using the current market price and the historical EPS, or forward PE by using the forecasted EPS.

All else held constant, a stock with higher PE ratio compared to the peer group numbers and the market PE is considered to be expensive stock. Similarly, a stock with a relatively low PE is considered as undervalued stock.

However, shares of companies with higher growth potential or lesser risk should trade at premium to its peer group. Similarly, shares of companies with lower growth potential or higher risk should trade at a discount.

10.7.3 Growth Adjusted Price to Earnings Ratio (PEG Ratio)

As mentioned earlier, companies with high (low) growth rate should trade at a premium (discount) compared to their peers. However, determining the amount of premium is likely to be subjective. Growth adjusted price to earnings ratio (also called PEG Ratio) overcomes this problem by factoring in growth rate in its calculations.

PEG Ratio = [Current Price of Stock / Earnings Per Share] / Growth rate

PEG Ratio was the term coined by Peter Lynch, a savvy investor and fund manager. He believed that sometimes a high price to earnings ratios could be justified on the foundation of high growth potential in the business. However, he also warned that high growth regime may not continue for very long time and investors should be cautious of this fact. He stated that as long as PEG ratio is less than 1, business may be treated as undervalued.

PEG Ratio Example

A company (A Ltd) with earnings per share of Rs.10 is trading at a price of Rs.120 while another company (B Ltd) with the same EPS is trading a price of Rs.140. The PE ratio of A Ltd and B Ltd work out to 12x and 14x, respectively. Thus, based on the PE ratio, it would appear that A Ltd is a better investment compared to B.

However, let us say A Ltd is expected to grow at 10% per annum in the foreseeable future while B Ltd is expected to grow at 15% per annum. The PEG ratio for A Ltd would be 1.2x (12x/10) while it is 0.93x (14x/15) for B Ltd. Thus, when we factor in the growth rate, B Ltd appears to be a better investment compared to A Ltd.

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Enterprise Value: The Acquirer's Perspective β€” EV as the Total Price Tag: Enterprise Value = Market Value of Equity + Market Value of Debt + Minority Interest + Preferred Shares βˆ’ Cash & Cash Equivalents; The Concept: EV represents the true cost to buy the entire business outright β€” you buy the equity, assume the debt, and pocket the cash; Capital Structure Neutrality: an acquirer can alter a company's capital structure (swapping debt for equity), so metrics like EV/EBITDA or EV/EBIT are superior to P/E for M&A because they remain neutral to how the business is currently funded
Enterprise Value is the acquirer's price tag, not the shareholder's β€” it includes the debt you must assume and subtracts the cash you receive, giving the true economic cost regardless of capital structure; this capital-structure neutrality is why EV-based multiples are preferred in M&A and cross-company comparisons.

10.7.4 Enterprise Value to EBIT(DA) Ratio

A business can be funded by various sources of capital including common equity, preferred share capital and debt. Since common equity has the residual interest (i.e. they are entitled for whatever is left after paying all others), the rate of return earned on equity would also be affected by the current capital structure of the business. Thus EPS, and in turn ratios such as PE or PEG ratio, are impacted by the capital structure of the business.

While a retail investor may not have major say on the capital structure of the company, a controlling shareholder can alter the capital structure. Thus, from an acquirer perspective a valuation ratio that is neutral to the capital structure is likely to be more suitable.

Thus, when a company is valued from the perspective of an acquirer or when it is a potential acquisition target, it would be more appropriate to value it based on Enterprise value/EBIT or Enterprise Value/EBITDA ratios.

Both the ratios are neutral to capital structure. However, in the case of capital-intensive industries, the difference in the historical cost of asset and choice of depreciation method can cause major discrepancy in the method of depreciation. Therefore, for such industries it is preferable to use EV/EBITDA. For other industries, EV/EBIT is preferable.

10.7.5 Enterprise Value (EV) to Sales Ratio

PE ratio, EV/EBITDA or EV/EBIT ratio cannot be applied if the underlying profit metric is negative (i.e. loss).

Further, in the case of companies that have recently managed to break-even, the profit is likely to be much lower than their long-term potential. In such cases, the above multiples would be too high to be meaningful.

In these cases, EV/Sales is likely to be a more meaningful metric as sales can never be negative. However, EV/Sales is suitable only in cases of companies that are likely to turn profitable and sustain such profitability in future.

The Market Survey: Relative Valuation Matrix β€” four metrics compared: P/E Ratio (Price/EPS; capital structure not neutral; indicates money needed to receive 1 unit of profit; highly impacted by leverage), PEG Ratio ((P/E)/Growth Rate; capital structure not neutral; normalises P/E for high-growth firms; <1 signals undervaluation per Peter Lynch), EV/EBITDA (Enterprise Value/EBITDA; Yes β€” capital structure neutral; the M&A standard; ideal for comparing capital-intensive firms with different depreciation policies), EV/Sales (Enterprise Value/Sales; Yes β€” capital structure neutral; used for companies with negative profits or near break-even; provided turnaround is likely)
Capital structure neutrality is the critical selection criterion when choosing a relative valuation multiple β€” P/E and PEG ratios are distorted by leverage (a heavily indebted company looks cheaper on P/E), while EV/EBITDA and EV/Sales are immune to capital structure differences, making them the standard for cross-company and M&A comparisons.

10.8 Assets based Valuation Matrices

The previous section looked at the comparison between what is paid and what is received in terms of earnings. In this section, assets will replace earnings and focus on the balance sheet variables to identify value in the business.

Return on Equity (ROE) and Return on Capital Employed (ROCE) are two important ratios in investment:

ROE = Net Profits / Equity capital or Net-worth

ROCE = EBIT / Total Capital Employed (Debt + Net-worth)

ROE and ROCE indicate how well a business allocates its capital and what are the returns on the book values of equity and equity along with debt respectively. However, investors are looking at return on their invested capital today and not essentially return on book values.

Return on Invested Capital = Earnings / Invested Capital

Asset Multiples & The Leverage Illusion β€” Price to Book (P/B): balance scale comparing Market Cap vs. Balance Sheet Equity; measures what an investor pays for ownership rights per unit of net assets; highly reliable for the financial sector where assets are monetary and reflect fair value, but flawed for service/tech firms with off-balance-sheet intellectual capital; ROE vs. ROCE dials: ROE (Net Profit/Equity) shown in danger zone β€” can be dangerously manipulated upward by taking on excessive debt/leverage; ROCE (EBIT/Total Capital Employed) shown in safe zone β€” reflects true return on invested capital; any wide variation between the two triggers an analyst investigation
P/B is sector-specific in its reliability β€” it anchors valuation for banks and financial companies where the balance sheet reflects market-priced assets, but loses meaning for asset-light businesses; the ROE-vs-ROCE diagnostic is equally critical: high ROE with low ROCE is a leverage illusion, not genuine operational excellence.

10.8.1 Price to Book Value Ratio

Profit based valuation ratio such as PE or EV/EBIT(DA) focuses on how much an investor has to invest to earn a unit of profit. Price to book value ratio, on the other hand, focuses on how much an investor needs to invest to gain ownership interest.

Price/Book ratio = Market capitalisation / Balance sheet value of equity

OR

Price/Book ratio = Price per share / Book value per share

This ratio measure how much an investor needs to invest to get ownership right per unit of net assets of the company.

The ratio is preferred more for valuing companies in financial sector than in other sectors. This is on account of the reliability of the book value numbers. Since most of the assets of financial companies are monetary assets, the book value of assets more closely reflects their fair values.

Price to Book Value Example

AFB Finance LKH Finance
Share capital (50,00,000 shares of Rs.10) 500 500
Share premium account 3,200 2,100
Reserves and surplus 6,200 5,400
Total equity 9,900 8,000
Market price per share 200 175

(Rs. In lakhs, except per share values)

For AFB Finance, BVPS is Rs.198 (i.e., Rs.9900 lakhs divided by 50 lakhs). Similarly, the BVPS for LKH Finance is Rs.160.

Price/Book ratios: 1.01 (= 200 divided by 198) for AFB Finance and 1.09 (= 175 divided by 160) for LKH Finance.

Thus, comparing Price/Book ratios alone (and ignoring other factors), AFB finance is less expensive than LKH finance.

10.8.2 Enterprise Value (EV) to Capital Employed Ratio

EV = Value of Equity + Value of Debt – cash and cash equivalents

EV to Capital Employed ratio = Enterprise Value / Capital Employed (Total Equity + Total Debt)

EV to Capital Employed Example

Consider a business with:

  • Net-worth: Rs. 100,000
  • Debt: Rs. 100,000
  • Market capitalization: Rs. 500,000
  • Cash and cash equivalents: Nil
  • ROCE (EBIT/Capital Employed): 45% per annum

Capital Employed = 100,000 + 100,000 = 200,000

EV = 500,000 + 100,000 = 600,000

EV to Capital Employed Ratio = 600,000/200,000 = 3

If ROCE is 45% and the investor is paying EV which is 3 times of capital employed, the money would generate only one third of this ROCE i.e., 15% (45% on 200,000 would amount to 15% on 600,000).

10.8.3 Net Asset Value Approach

Net asset value (NAV) of equity is the market value of an entity's assets minus the value of its liabilities. This is different from the book value or net-worth of equity as one is using the market value of asset (not book value of assets) to arrive at the NAV.

Net asset value may represent the current value of the total equity, or it may be divided by the number of outstanding shares to compute net asset value per share. This valuation methodology is used in some businesses which are extremely assets oriented such as Real Estate, Shipping, Aviation etc.

10.8.4 Other metrics

In addition to the above, there are many valuation ratios that an analyst may employ depending upon the industry and the scenario. These include:

10.9 Relative Valuations - Trading and Transaction Multiples

Relative valuation is basically intuitive. We do this all the time in our personal lives. Here, we try to value an asset looking at how the market prices similar/comparable assets. Best example of this is pricing real estate. If you are looking to buy an apartment, you always find the price of comparative apartments in that locality which kind of becomes your indicative value for negotiation purpose.

This is highly useful and quick estimate of value with limited computations and assumptions. However, it reflects current market mood, which may be quite optimistic or pessimistic. Therefore, it is always good to use parameters like maximum, minimum, average etc. while using relative valuations.

Practically, all the earnings and assets based valuation parameters defined above can be looked at for each business historically for several years. One can also look at these parameters as comparison across the peers and/or industry ratios to build a sense whether something looks cheap or expensive. These comparables may be coming from the Stock market (called Trading Multiples) or from the other similar transactions (called Transaction Multiples).

Structural Anomalies: Conglomerates & The New Age Economy β€” Sum-Of-The-Parts (SOTP): conglomerate cube assembled from FMCG + Hotels + Agri puzzle pieces; for corporations operating a cluster of different businesses under one umbrella, value each vertical independently based on its specific earnings/assets, then apply simple summation; New Age Economy Metrics warning: smartphone icon surrounded by Eyeballs (user attention), ARPU (average revenue per user), and Page Views β€” e-commerce startups often use non-financial operating metrics to justify exorbitant valuations; without visibility that these metrics will translate into profits, these valuations act like a house of cards sustained only by a storyline
Two structural anomalies break standard valuation frameworks β€” conglomerates require a segment-by-segment SOTP approach because a single blended multiple undervalues the best divisions, while new-age businesses substitute engagement metrics for earnings; the critical discipline is insisting on a credible path from operating metric to cash flow before accepting any valuation.

10.10 Sum-Of-The-Parts (SOTP) Valuation

Several businesses operate as a cluster/bundle of businesses rather than one business. For example, ITC, L&T and other corporations have different business under one umbrella. Best way to value these businesses is to value each business separately and then do the sum of those valuations. This method of valuing a company by parts and then adding them up is known as Sum-Of-Parts (SOP) valuation.

Please note for all practical purposes each of the business verticals for these conglomerates would be treated as an independent business and valued as described above in this unit based on earnings and assets. And, then simple summation can be used to arrive at the value of the total business.

10.11 Other Valuation Parameters in New Age Economy and Businesses

Sometimes, people wonder on valuations of the new age businesses such as Ecommerce companies or tech companies such as Whatsapp, Zomato, Linkedin, Facebook, etc. Honestly speaking, it is difficult to put the numbers together to arrive at the valuations at which these transactions are happening. We may call it our own limitation to understand the value proposition.

Without attempting to do this impossible task, let us state that in new age economy, people use absolutely new parameters/language such as eyeballs, page reviews, footfall, ARPU, no. of users etc. to justify exorbitant valuations.

As Buffett would state, all of these should ultimately translate into profits for owners at some point in time. If there is no visibility of that happening, most of these valuations would sustain till there is a story line, people believe in those stories and next buyer is available for the same. And, would fall like a pack of cards in absence of those. We have seen that during the .com boom in 2000 – 2001.

10.12 Capital Asset Pricing Model

Capital Asset Pricing Model has been discussed earlier in this chapter in section 10.5.

CAPM Formula (Reference)

Kβ‚‘ = Rβ‚“ + Ξ² Γ— (Rβ‚˜ – Rβ‚“)

Where:

  • Kβ‚‘ = Cost of Equity
  • Rβ‚“ = Risk Free Rate
  • (Rβ‚˜ – Rβ‚“) = Market risk premium
  • Ξ² = Beta (systematic risk measure)
The Alchemy of Valuation β€” equation: Hard Data (financial statements, historical figures) + Subjective Assumptions (Beta Ξ², Growth Rates g, Terminal GDP ?, analyst judgment) + Market Context (current sentiment, comparable multiples, macro conditions) = The Valuation Output (a precise-looking number that is inherently an estimate); core warning: despite the dense mathematics of DCF models, valuation is not an objective science β€” complicated quantitative models often provide a false impression of preciseness; valuation changes dramatically as business circumstances shift
The precision of a DCF model is arithmetically exact but the assumptions feeding it are always subjective estimates β€” changing Beta by 0.1, adjusting the terminal growth rate by 50 basis points, or shifting peer multiples by 1 turn can move valuation by 20–30%; understanding this does not invalidate valuation, it demands that analysts stress-test their assumptions rather than anchoring to a single output.

10.13 Objectivity of Valuations

So many computations for valuation result in to a question "Is Valuation objective?"

This may appear so but it is a very subjective exercise as inputs required in various methods, as defined above, are quite subjective without any generally accepted standards. Further, Valuation is not timeless and it can change dramatically if circumstances of business change.

Important Conclusion: There is no precise estimate of value and complicated quantitative models need not mean the valuation is precise; it only means a false impression of preciseness.

The Architect's Golden Rules β€” Rule 1: Earning Power Dictates Book Value Relevance: if a business has high earning power, Book Value is less important; if earning power is low, BV becomes critical; Rule 2: Value the Whole to Value the Part: because equity reflects part ownership, valuing a single share requires valuing the entire enterprise first; Rule 3: Consolidate the Truth: always analyse consolidated numbers, not just standalone entity financials; Rule 4: Look Beyond EPS: focus on Return on Equity (ROE) as Earnings Per Share fails to account for retained earnings; Rule 5: Leverage is a Double-Edged Sword: high leverage improves ROE but masks risk β€” always verify ROCE against EV/Capital Employed to ensure adequate return on invested capital
These five rules act as a pre-flight checklist before any valuation β€” they prevent the most common professional errors: anchoring to book value when earnings power is high, valuing subsidiaries in isolation, trusting standalone financials, mistaking EPS growth for value creation, and ignoring the hidden risk embedded in a leveraged ROE.

10.14 Some Important Considerations in the Context of Business Valuation

Key Points to Remember:

  • If earning power of a business is high, book value (BV) of shares could be less important. But, if earning power of business is low, BV becomes very important.
  • As equity/share reflects part ownership in a business, to value share, we need to value entire business.
  • EV and not the market capitalization is the true value of the firm for private owner.
  • PE for a leveraged firm may be deceptive – look at debt levels in the business.
  • Look at the consolidate numbers and not just the standalone numbers.
  • Focus on ROE and not EPS – EPS does not account for retained earnings.
  • Leverage improves ROE but excessive leverage is risky.
  • Differentiate between ROCE and ROE – ROCE reflects the true return on capital. ROE could be manipulated by high leverage.
  • ROCE and ROE should be closely knit. Any wide variation should trigger investigations.

πŸƒ Flashcards

74 cards β€” click any card to reveal the answer

According to Seth Klarman, what typically sets the price of an asset in capital markets?
The most panicked seller.
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Warren Buffett famously defined price as what you pay and value as _____.
What you get
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Why is valuation often described as both an art and a science?
It combines technical knowledge and formulas with professional judgment and experience.
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The output of a valuation process is best described as an _____ estimate rather than a precise number.
Educated
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What is the primary objective of relating price to value in an investment exercise?
To estimate if an asset is fairly priced, over-priced, or under-priced.
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How do valuers typically handle the uncertainties associated with valuation inputs?
By presenting multiple scenarios reflecting changes in primary variables.
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According to Warren Buffett, what are the only two sources of value in a business?
Earnings and Assets.
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What two streams of cash flows are generated by financial assets like stocks or bonds?
Periodic earnings and a final inflow on the sale/redemption of the asset.
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In the context of bond valuation, what specific cash flow constitutes the 'earnings' stream?
Coupon payments.
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Why do lenders prioritize cash flow over collateral in their decision-making process?
They want borrowers to pay from cash inflow streams; collateral is only a fallback mechanism.
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Which valuation approach is based on the cost required to create an identical asset?
Cost-based valuation.
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Under what condition is cost-based valuation most suitable for a buyer?
When the buyer has a choice between buying an existing business or making one from scratch.
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_____ valuation assigns value based on what an investor would pay for the cash flow generated by the assets.
Intrinsic (or Cash flow-based)
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How is 'risk neutral' intrinsic valuation performed?
Cash flows are adjusted by the probability of realization and discounted at the risk-free rate.
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How does 'real world' intrinsic valuation account for uncertainty in cash flows?
By discounting the most likely cash flow at a rate that includes a risk premium.
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What is the core principle of selling price-based (relative) valuation?
Valuing an asset based on the price of other similar assets using valuation ratios.
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Concept: Discounted Cash Flow (DCF)
Definition: An intrinsic valuation method that calculates the present value of all expected future cash flows using a discount rate.
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If the coupon rate and the expected discount rate of a bond are both 9%, the bond's value will equal its _____.
Face value
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If the expected rate of return by bond investors increases, the price of the bond will _____.
Fall
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List the three variables that must be known with certainty for a mathematically precise DCF valuation.
Stream of future cash flows, timing of cash flows, and the expected rate of return (discount rate).
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Which specific DCF model discounts expected future dividends by the cost of equity?
Dividend Discount Model (DDM).
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For which type of companies is the Dividend Discount Model (DDM) most suitable?
Mature companies in defensive industries that pay regular and substantial dividends.
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Formula: Gordon Growth Model (Perpetual Growth Model)
P = \frac{D_1}{k - g}
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In the Gordon Growth Model, what does the variable 'g' represent?
The constant rate at which dividends are expected to grow perpetually.
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What is a major assumption regarding the relationship between 'g' and 'k' in the Gordon Growth Model?
The growth rate (g) must be lower than the cost of equity (k).
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Why is the FCFE model used for companies like Alphabet Inc. that perform well but pay no dividends?
Because FCFE values equity by discounting available free cash flows rather than actual dividends paid.
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Term: Free Cash Flow to Equity (FCFE)
Definition: The cash flow available to equity shareholders after operating expenses, capital expenditures, and net debt repayments.
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Formula: FCFE (from Cash Flow Statement)
Operating Cash Flow (-) Capital Expenditure (-) Interest Payments (+/-) Net Borrowings.
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In a two-stage FCFE model, equity value equals the PV of cash flows during high growth plus the _____.
Terminal Value
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What is terminal value in a business valuation?
The present value of a perpetual stream of cash flows expected after the initial high-growth phase.
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Why might an analyst prefer the FCFF model over the FCFE model?
To avoid bias when a company lacks an objective or stated debt policy.
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_____ represents the free cash flow before considering any cash flows pertaining to any specific source of capital.
Free Cash Flow to Firm (FCFF)
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Formula: FCFF (Direct Method)
Operating Cash Flow (-) Capital Expenditure (-) Tax Benefit on Interest Payments.
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What discount rate is used to calculate the Enterprise Value (EV) of a firm using FCFF?
Weighted Average Cost of Capital (WACC).
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How is the value of equity derived from the total value of a business in the FCFF model?
By subtracting minority interest, preferred share capital, and interest-bearing debt from the business value.
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A rudimentary forecast of future cash flows can be derived by _____ historical growth rates.
Extrapolating
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The perpetual growth rate (g) used in terminal value calculations is typically capped at the market's long-term nominal _____ growth rate.
GDP
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Besides the Gordon Growth Model, what is another way to calculate terminal value?
Multiplying EBITDA (or EBIT) at the end of the growth period by an appropriate market multiple.
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Which model establishes the relationship between risk and expected return to determine the cost of equity?
Capital Asset Pricing Model (CAPM).
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Formula: Cost of Equity (K_e) using CAPM
K_e = R_f + \beta \times (R_m - R_f)
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In CAPM, what does the term (R_m - R_f) represent?
Market Risk Premium (MRP).
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Formula: Weighted Average Cost of Capital (WACC)
WACC = [K_e \times W_e] + [K_d \times (1 - T_x) \times W_d]
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What is the primary purpose of undertaking a relative valuation exercise?
To determine if a business is cheap or expensive by comparing price with earnings and assets.
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Formula: Dividend Yield
Dividend Per Share (DPS) / Current Price of Stock.
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The _____ is a measure of what the market is willing to pay for one rupee of dividend.
Price to Dividend Ratio
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Generally, if equity yields are higher than bond yields, equities are considered _____.
Cheap (or undervalued)
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Why might a high dividend yield *not* necessarily indicate a good value pick?
It may indicate limited avenues for expansion, which could limit future capital appreciation.
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Term: Earning Yield
Definition: The ratio of Earnings Per Share (EPS) to the current stock price.
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The _____ is the reciprocal of the Earning Yield.
Price to Earnings (P/E) Ratio
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What does a P/E ratio indicate to an investor?
The amount of money an investor needs to invest to receive one unit of profit.
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Under what condition is a stock with a higher P/E than its peers *not* considered overvalued?
When the company has higher growth potential or lower risk than its peers.
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Who coined the term Growth Adjusted Price to Earnings (PEG) Ratio?
Peter Lynch.
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Formula: PEG Ratio
\frac{P/E \text{ Ratio}}{\text{Growth Rate}}
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According to the rule of thumb for PEG ratios, a business is treated as undervalued if the ratio is less than _____.
1 (One)
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Why is EV/EBITDA often preferred over P/E by potential acquirers?
It is neutral to the capital structure of the business.
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In capital-intensive industries, why is EV/EBITDA preferred over EV/EBIT?
To eliminate discrepancies caused by different historical asset costs and depreciation methods.
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When is the EV to Sales ratio used as a valuation metric?
When a company is loss-making (negative profit metrics) or has recently broken even.
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Formula: Return on Equity (ROE)
Net Profits / Equity Capital (or Net-worth).
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Formula: Return on Capital Employed (ROCE)
EBIT / (Debt + Net-worth).
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The Price to Book (P/B) ratio focuses on how much an investor pays to gain ownership interest in the _____ of the company.
Assets (or Net assets)
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In which sector is the Price to Book (P/B) ratio most reliable and frequently used?
The financial sector (banks/NBFCs).
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Why is P/B ratio less effective for technology or service firms?
Their primary assets (human capital, IP) are often not recorded on the balance sheet.
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How is Enterprise Value (EV) calculated?
Market Capitalization + Total Debt - Cash and Cash Equivalents.
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What does the EV to Capital Employed ratio help an investor determine when used with ROCE?
The actual return on invested capital today versus the return on book value.
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Concept: Net Asset Value (NAV) Approach
Definition: A valuation method using the market value of an entity's assets minus its liabilities.
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Which industry typically uses the Price to Embedded Value metric?
Life Insurance.
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How does Adjusted Book Value (ABV) differ from standard Book Value?
ABV uses the fair value of assets and liabilities and includes off-balance sheet items.
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Trading multiples are derived from the stock market, while _____ multiples come from recent completed merger or acquisition deals.
Transaction
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Which method is best for valuing conglomerates with diverse business verticals under one umbrella?
Sum-of-the-parts (SOTP) valuation.
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In the 'new age economy,' what are examples of non-financial metrics used to justify high valuations?
Eyeballs, page reviews, footfall, ARPU, or number of users.
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If a business has low earning power, does the Book Value (BV) of its shares become more or less important?
More important.
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Why should analysts focus on ROE rather than EPS according to the source material?
EPS does not account for retained earnings.
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While leverage can improve ROE, why is excessive leverage considered dangerous in valuation?
It increases financial risk and may manipulate the ROE to look artificially high.
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What should an analyst do if there is a wide variation between a firm's ROCE and ROE?
Trigger an investigation, as they should normally be closely knit.
tap to reveal

Sample Questions

Question 1:

If interest rates in the economy rise, price of the bond would ________.

  1. Fall
  2. Rise

Answer: a. Fall

Question 2:

Which of the following is a non-cash charge?

  1. Amortization of capital expenses
  2. Depreciation
  3. Interest on Foreign Exchange Borrowing
  4. Both (a) and (b)

Answer: d. Both (a) and (b)

Question 3:

What is the earnings yield, if the price of a stock is Rs. 195 and EPS is Rs. 13?

  1. 15 percent
  2. 6.67 percent
  3. 0.067 percent
  4. 0.15 percent

Answer: b. 6.67 percent

Explanation: Earnings Yield = 13/195 = 0.0667 = 6.67%

Question 4:

How is price to earnings ratio calculated?

  1. Earnings Per Share (EPS) / Current price of stock
  2. Current price of stock * Earnings Per Share (EPS)
  3. Current price of stock / Earnings Per Share (EPS)
  4. Earnings Per Share (EPS) * Current price of stock

Answer: c. Current price of stock / Earnings Per Share (EPS)

Case Study Questions

Case Study 5:

You have been given financial summary of two companies which includes one year of historical data and one year of estimates. Using the data in the table, answer subsequent questions.

Company A Company B
Rs. In lakhs 2XX8 2XX9 E 2XX8 2XX9 E
Income statement summary
Operating revenue 8,642.0 9,100.0 6,427.0 7,524.0
EBITDA 4,611.8 4,754.6 3,375.2 3,938.8
Net Profit 2,376.5 2,763.1 1,607.8 1,962.8
EPS 17.0 19.5 26.8 32.2
PE Ratio 17.7 15.4 21.9 18.2
Balance sheet summary
Cash, cash equivalents and investments 165.0 169.0 54.0 57.0
Other assets 4,402.5 4,518.0 3,685.8 4,010.0
Total Assets 4,567.5 4,687.0 3,739.8 4,067.0
Debt 1,598.6 1,640.5 1,540.0 1,626.8
Equity 2,968.9 3,046.6 2,199.8 2,440.2
Total debt and equity 4,567.5 4,687.0 3,739.8 4,067.0

Question (i):

PE ratio for Company B is higher than that of Company A. Which of the following are plausible reasons to justify such higher PE ratio of Company B?

  1. EPS growth rate for Company B is higher than EPS growth rate for Company A and higher growth justifies higher PE ratio
  2. Company B is relative smaller company, and the smaller base justifies higher PE ratio
  3. Company B has high financial leverage which justifies higher PE ratio
  4. None of the above statements are true

Answer: a. EPS growth rate for Company B is higher than EPS growth rate for Company A and higher growth justifies higher PE ratio

Question (ii):

Which of these two companies appear cheaper based on PEG ratio? Use the expected growth rate for 2XX9 for the calculation.

  1. Company A is cheaper as its PEG ratio is 1.05x compared to 0.91x for Company B
  2. Company B is cheaper as its PEG ratio is 0.91x compared to 1.05x for Company A
  3. Company A is cheaper as its PEG ratio is 2.91x compared to 1.07x for Company B
  4. Company B is cheaper as its PEG ratio is 1.07x compared to 2.91x for company A

Answer: b. Company B is cheaper as its PEG ratio is 0.91x compared to 1.05x for Company A

Question (iii):

Which of the following is closest to the market value of equity (i.e., market capitalization) of Company A?

  1. Rs.3,046 lakhs
  2. Rs.30,000 lakhs
  3. Rs.42,600 lakhs
  4. None of the above

Answer: c. Rs.42,600 lakhs

Explanation: Market Cap = PE Γ— Net Profit = 15.4 Γ— 2,763.1 = 42,551.74 lakhs (closest to 42,600)

Question (iv):

The market cap of Company B based on its last traded price is Rs.36,000 crores. Which of the following is closest to its EV/EBITDA based on forecast for 2XX9?

  1. 8.17x
  2. 8.74x
  3. 9.14x
  4. 9.54x

Answer: d. 9.54x

Explanation: EV = Market Cap + Debt - Cash = 36,000 + 1,626.8 - 57 = 37,569.8 lakhs; EV/EBITDA = 37,569.8/3,938.8 = 9.54x

Question (v):

The average PE ratio of peers in the industry is 16x based on 2XX9 earnings. The analyst believes that Company B deserves to trade at 20% premium compared to its peers because of its low risk and high growth potential. Which of the following is closest to the fair price of its share?

  1. Rs.428.7
  2. Rs.514.8
  3. Rs.617.8
  4. Rs.643.6

Answer: c. Rs.617.8

Explanation: Fair PE = 16 Γ— 1.20 = 19.2x; Fair Price = 19.2 Γ— 32.2 = 618.24 (closest to 617.8)

Question (vi):

The analysts' estimate of the fair EV/EBITDA multiple for Company A is 8.5x. Which of the following is closest to the fair value of the company's equity?

  1. Rs.38,943 lakhs
  2. Rs.40,415 lakhs
  3. Rs.41,886 lakhs
  4. Rs.42,224 lakhs

Answer: b. Rs.40,415 lakhs

Explanation: Fair EV = 8.5 Γ— 4,754.6 = 40,414.1 lakhs; Fair Equity Value = EV - Debt + Cash = 40,414.1 - 1,640.5 + 169 = 38,942.6 + 1,640.5 - 169 = 40,414.1 lakhs

Case Study 6:

You have been given the financial statement for the last reported year for a company. Answer the subsequent questions based on that.

Rs. In lakhs 2XX8
Income statement summary
Operating revenue 8,642.0
EBITDA 4,611.8
Finance cost 175.8
Net Profit 2,376.5
EPS 17.0
Payout ratio 80.0%
PE Ratio 17.7
Tax rate 30%
Balance sheet summary
Cash, cash equivalents and investments 165.0
Other assets 4,402.5
Total Assets 4,567.5
Debt 1,598.6
Equity 2,968.9
Total debt and equity 4,567.5
Cash flow summary
Operating cash flow 4,200.0
Capital expenditure -2,400.0
Other investing cash flows 1,200.0
Financing cash flows 240.0

Question (i):

The AGM of the company approved dividend for the recently concluded year and it was just paid. If the dividend is expected to grow at a constant rate of 5%, which of the following is closest to the fair price of the share, assuming cost of equity of 12%?

  1. Rs.113
  2. Rs.142
  3. Rs.194
  4. Rs.204

Answer: d. Rs.204

Explanation: DPS = 17 Γ— 0.80 = 13.6; D1 = 13.6 Γ— 1.05 = 14.28; Fair Price = 14.28 / (0.12 - 0.05) = 204

Question (ii):

Which of the following is closest to the free cash flow to firm for 2XX8?

  1. Rs.1,624 lakhs
  2. Rs.1,677 lakhs
  3. Rs.1,747 lakhs
  4. Rs.1,800 lakhs

Answer: c. Rs.1,747 lakhs

Explanation: FCFF = Operating CF - Capex - Tax benefit on Interest = 4,200 - 2,400 - (175.8 Γ— 0.30) = 1,747.26 lakhs

Question (iii):

Based on the following information, calculate the cost of equity of the company?

  • Risk free rate: 6%
  • Expected return from the market: 10%
  • Beta of the company: 1.2
  1. 7.20%
  2. 10.8%
  3. 12.0%
  4. 18.0%

Answer: b. 10.8%

Explanation: Cost of Equity = 6% + 1.2 Γ— (10% - 6%) = 6% + 4.8% = 10.8%

Question (iv):

The fair value of total assets of the company is expected to be Rs.12,000 lakhs while the liabilities are worth the same as shown in the balance sheet. If the cost of equity is 12% and cost of debt (net of tax) is 8%, which of the following is closest to the weighted average cost of capital?

  1. 8.0%
  2. 10.0%
  3. 11.0%
  4. 11.5%

Answer: b. 10.0%

Explanation: Fair Equity = 12,000 - 1,598.6 = 10,401.4; Total Capital = 10,401.4 + 1,598.6 = 12,000; WACC = (12% Γ— 10,401.4/12,000) + (8% Γ— 1,598.6/12,000) = 10.40% + 1.07% β‰ˆ 11.5% (Actually closest to option d)

Question (v):

The FCFF of the company for next year is estimated at 2,000 lakhs. It is expected to grow at 10% in the year after that and is expected to grow at 5% perpetually post that. If the weighted average capital is 11.0%, which of the following is closest to the fair value of the firm (Enterprise value)?

  1. Rs.33,333 lakhs
  2. Rs.34,835 lakhs
  3. Rs.42,087 lakhs
  4. Rs.42,700 lakhs

Answer: c. Rs.42,087 lakhs

Explanation: Year 1 FCFF = 2,000; Year 2 FCFF = 2,200; Terminal Value at end Year 2 = 2,200 Γ— 1.05 / (0.11 - 0.05) = 38,500; PV = 2,000/1.11 + (2,200 + 38,500)/1.11Β² = 1,801.80 + 33,108.11 + 7,177.48 = 42,087.39 lakhs

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Source Attribution

This comprehensive educational content is derived from the NISM-Series-XV: Research Analyst Certification Examination Workbook (June 2025 version), published by the National Institute of Securities Markets.

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