Management 2023 Paper I 50 marks Calculate

Paper I — Q6

(a) Given below is the data of two firms in the same industry: | Particulars | Firm A (₹) | Firm B (₹)…

(a)

Given below is the data of two firms in the same industry:

ParticularsFirm A (₹)Firm B (₹)
Net Profit25,00010,000
Sales Revenue1,25,00060,000
Total Assets75,00030,000
Equity25,00020,000
(i)

Compute the Return on Equity (RoE) based on DuPont analysis. Which company would investors prefer? 15 marks

(ii)

What are the limitations of DuPont analysis? 10 marks

(b)

What are the factors that need to be kept in mind while designing the capital structure of a firm? 10 marks

(c)

"Marketing channel decisions lead to developing value network." Explain the importance of intermediaries giving suitable examples. 15 marks

हिंदी में प्रश्न पढ़ें
(a)

एक ही उद्योग की दो फर्मों के आंकड़े नीचे दिए गए हैं:

विवरणफर्म A (₹)फर्म B (₹)
शुद्ध लाभ25,00010,000
बिक्री राजस्व1,25,00060,000
कुल संपत्ति75,00030,000
हिस्सेदारी (इक्विटी)25,00020,000
(i)

ड्यूपॉन्ट विश्लेषण के आधार पर हिस्सेदारी (इक्विटी) के लाभांश (आर० ओ० ई०) की गणना कीजिए। निवेशक किस कंपनी को पसंद करेंगे? (15 अंक)

(ii)

ड्यूपॉन्ट विश्लेषण की सीमाएं क्या हैं? (10 अंक)

(b)

किसी फर्म की पूँजी संरचना को आकार देते समय, किन कारकों को ध्यान में रखना आवश्यक है? (10 अंक)

(c)

"विपणन चैनल निर्णयों से मूल्य नेटवर्क विकसित होते हैं।" उपयुक्त उदाहरणों की सहायता से मध्यस्थों के महत्व को समझाइए। (15 अंक)

Q6 of the 2023 UPSC Mains Management Paper I, as printed
The question as printed in the 2023 Management paper

The figure this question refers to, in words

The question paper is a scan and the diagram did not survive as text. This is the figure as read from the original page — every component, value and label — so the question can be worked from the text below.

(a) Table with 3 columns and 5 rows: Particulars | Firm A (₹) | Firm B (₹) Net Profit | 25,000 | 10,000 Sales Revenue | 1,25,000 | 60,000 Total Assets | 75,000 | 30,000 Equity | 25,000 | 20,000

Model answer

Drafted with AI by UPSC Answer Check against this question's marking rubric, to the expected length. UPSC does not publish answers for Mains — this is one way to score well, not an official key. How we build rubrics and answers.

(a)(i) RoE by DuPont analysis and the investors' choice

The DuPont identity splits return on equity into three drivers: RoE = net profit margin × total asset turnover × equity multiplier, that is, (net profit ÷ sales) × (sales ÷ total assets) × (total assets ÷ equity). The data give no EBIT, interest or tax, so the three-step form is used.

Firm A: net profit margin = 25,000 ÷ 1,25,000 = 20%; asset turnover = 1,25,000 ÷ 75,000 = 1.67 times; equity multiplier = 75,000 ÷ 25,000 = 3.0. RoE = 0.20 × 1.667 × 3.0 = 100%.

Firm B: net profit margin = 10,000 ÷ 60,000 = 16.67%; asset turnover = 60,000 ÷ 30,000 = 2.0 times; equity multiplier = 30,000 ÷ 20,000 = 1.5. RoE = 0.1667 × 2.0 × 1.5 = 50%.

Direct check: 25,000 ÷ 25,000 = 100% and 10,000 ÷ 20,000 = 50%.

On RoE alone, investors would prefer Firm A, which earns twice B's return on shareholders' money. The decomposition qualifies this. Return on assets is the same for both, 25,000 ÷ 75,000 = 33.3% and 10,000 ÷ 30,000 = 33.3%, because A's higher margin is offset by B's faster asset turnover. A's higher RoE comes wholly from leverage: two-thirds of A's assets are financed by liabilities (₹50,000 against equity of ₹25,000) while B's liabilities are ₹10,000 against equity of ₹20,000. Whether A is truly better depends on the cost of that debt and on its risk, so a risk-averse investor may choose B, while one seeking higher returns would choose A.

(a)(ii) Limitations of DuPont analysis

DuPont analysis rests on accounting data, so it inherits their weaknesses. It uses historical book values, which depreciation methods, inventory valuation and one-time items can distort, and which window dressing can inflate. It is a snapshot of one period and gives little guide to the future or to cyclical and seasonal businesses.

A high RoE produced by a high equity multiplier signals higher financial risk, not better performance, and the analysis does not price that risk. It ignores the cost of capital, so it cannot show whether the return exceeds what shareholders require. It also ignores cash flow quality, liquidity and off-balance-sheet liabilities, and it breaks down when equity is negative or very small.

Comparison across firms is hard when accounting policies, asset ages and industries differ. The method shows what drives RoE but not why a ratio changed, and the three-step form hides the effect of interest and tax, which the five-step version separates.

(b) Factors in designing the capital structure

The aim is a mix of debt and equity that minimises the cost of capital and maximises firm value at acceptable risk. The main factors are these.

Cost of capital: debt is cheaper after tax than equity, but cost rises as leverage rises. Business risk: firms with stable earnings can carry more debt, while cyclical ones need less. Tax: interest is deductible, creating a tax shield that is valuable at a high tax rate. Cash-flow position: interest coverage and debt service ability must be adequate. Control: new equity dilutes ownership, while debt does not but brings covenants.

Flexibility: unused borrowing capacity should be kept for future needs. Size and stage: large, established firms get cheaper debt than small or start-up firms. Market conditions: the state of the capital market and interest rates affects timing and choice of instrument. Asset structure: firms with tangible assets that can be pledged can raise more debt. Industry norms, legal limits and management's attitude to risk also matter.

(c) Marketing channels, the value network and intermediaries

A value network is the set of the firm's suppliers, distributors and customers that together create, deliver and enhance value. Marketing channel decisions, such as choosing intermediaries, their number, roles and terms, shape that network, since the channel decides how well the product reaches customers and what service accompanies it.

Intermediaries are important for several reasons. They give wide reach at lower cost, since a manufacturer cannot contact every customer directly. They break bulk, assort goods from many producers into the variety a customer wants, and hold stock close to the buyer. They finance the channel through credit and bear the risk of inventory. They provide market information, promotion, installation and after-sales service. Contact efficiency rises because few transactions replace many.

Hindustan Unilever reaches rural India through distributors and kirana stores, and Project Shakti uses women entrepreneurs as the last link. Maruti Suzuki's dealer network sells, services and finances cars. Amazon's marketplace gives sellers reach and gives customers choice. Disintermediation is possible, as in direct-to-consumer sales, but firms that remove intermediaries must then perform these functions themselves.

How this answer will be evaluated

Framework: DuPont Analysis

What earns full marks: Accurate calculations with clear logic; comprehensive, specific points; strong examples.

Evaluation rubric

Each sub-part is marked on its own, against the marks and word limit printed on the paper.

  1. (a)(i) Compute RoE by DuPont analysis for Firms A and B and say which company investors would prefer. 15 marks

    calculate— given → formula → substitution → result with units → interpretation

    Must cover

    • Formula: margin x asset turnover x equity multiplier
    • Firm A: 20% x 1.67 x 3 = 100%
    • Firm B: 16.67% x 2 x 1.5 = 50%
    • Interpretation: equal ROA, difference from leverage; preference with risk

    Loses marks

    • Final value only with no steps.

    Earns more

    • Marks for correct steps and results with an interpretation of leverage.

    Extra mark

    • ROA of 33.3% for both; debt of 50,000 against 10,000.
  2. (a)(ii) Highlight the limitations of DuPont analysis. 10 marks

    highlight— name the salient points → one line of substance each → close

    Must cover

    • Historical, accounting-based data
    • High RoE may reflect leverage risk
    • Ignores cost of capital and cash flow
    • Comparability and window dressing

    Loses marks

    • Exhaustive list with no selection.

    Earns more

    • Marks for selected limitations with a line of substance each.

    Extra mark

    • Five-step version separating interest and tax.
  3. (b) Highlight the factors to be kept in mind while designing the capital structure of a firm. 10 marks

    highlight— name the salient points → one line of substance each → close

    Must cover

    • Cost of capital and tax shield
    • Business risk and cash-flow coverage
    • Control and flexibility
    • Size, market conditions, asset structure

    Loses marks

    • Listing without any explanation.

    Earns more

    • Marks for key factors with one line each.

    Extra mark

    • Industry norms and management attitude.
  4. (c) Explain the importance of intermediaries in marketing channel decisions that develop the value network, with examples. 15 marks

    explain— definition/context → points in order → small example → short close

    Must cover

    • Value network defined and its link to channel decisions
    • Roles of intermediaries: reach, bulk-breaking, assorting, finance, risk, information
    • Examples such as HUL, Maruti, Amazon
    • Disintermediation as a limit

    Loses marks

    • Long background instead of explaining.

    Earns more

    • Marks for roles with suitable examples.

    Extra mark

    • Project Shakti.
What "Calculate" is asking you to do

Apply the standard formula or schedule to data the question has already supplied — a table of readings, cost records, a balance sheet — and produce the number. The method is rarely in doubt; the marks sit in the named intermediate quantities, each of which has to appear as a labelled line.

Structure that answers it

Data as given → formula or standard treatment, named → substitution → each intermediate, labelled → result with units

Where marks are lost

Omitting an intermediate the marking scheme pays for separately, or rounding at an intermediate line so the final figure drifts. In commerce and accountancy, any figure in a statement that no numbered working note supports is treated as unearned.

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