Management 2023 Paper I 50 marks Calculate

Paper I — Q7

(a) A Ltd's EBIT is ₹ 10,00,000. The company has 12%, ₹ 30 lakhs debentures. The equity capitalization rate, i.e., Kₑ is…

(a)

A Ltd's EBIT is ₹ 10,00,000. The company has 12%, ₹ 30 lakhs debentures. The equity capitalization rate, i.e., Kₑ is 20%.

Compute the following:

(i)

Market value of equity and value of firm 12 marks

(ii)

Overall cost of capital 8 marks

(b)

What are some early signs of cash flow problems? 10 marks

(c)
(i)

"Price is the most important element of marketing mix." Discuss. 10 marks

(ii)

Elaborate the process to decide right time to change price of product. Do you think leadership pricing strategy is applicable in today's context? Give examples. 10 marks

हिंदी में प्रश्न पढ़ें
(a)

A लिमिटेड की ब्याज और करों से पहले की कमाई (ई० बी० आई० टी०) ₹ 10,00,000 है। कंपनी के पास 12%, ₹ 30 लाख डिबेंचर हैं। इक्विटी पूँजीकरण दर (Kₑ) 20% है।

निम्नलिखित की गणना कीजिए:

(i)

इक्विटी का बाजार मूल्य और फर्म का मूल्य (12 अंक)

(ii)

पूँजी की कुल लागत (8 अंक)

(b)

नकदी प्रवाह की समस्याओं के कुछ प्रारंभिक संकेत क्या हैं? (10 अंक)

(c)
(i)

"कीमत, विपणन मिश्रण का सर्वाधिक महत्वपूर्ण तत्व है।" विवेचना कीजिए। (10 अंक)

(ii)

उत्पाद की कीमत में परिवर्तन करने का सही समय तय करने की प्रक्रिया को स्पष्ट कीजिए। क्या आप सोचते हैं कि नेतृत्व कीमत-निर्धारण रणनीति आज के संदर्भ में लागू है? उदाहरण दीजिए। (10 अंक)

Q7 of the 2023 UPSC Mains Management Paper I, as printed
The question as printed in the 2023 Management paper

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) Market value of equity and value of the firm

This is solved by the net income approach, which assumes the cost of debt and of equity stay constant. No tax is given, so none is assumed, and debentures are taken at their par value.

Interest on debentures = 12% of ₹30,00,000 = ₹3,60,000.

Earnings available to equity shareholders = EBIT − interest = ₹10,00,000 − ₹3,60,000 = ₹6,40,000.

Market value of equity = earnings to equity ÷ Ke = ₹6,40,000 ÷ 0.20 = ₹32,00,000.

Value of the firm = market value of equity + value of debt = ₹32,00,000 + ₹30,00,000 = ₹62,00,000.

(a)(ii) Overall cost of capital

The overall cost of capital is EBIT divided by the value of the firm: ₹10,00,000 ÷ ₹62,00,000 = 0.1613, that is 16.13%.

Check with weights. Equity weight = 32 ÷ 62 = 51.61% and debt weight = 30 ÷ 62 = 48.39%. Ko = 0.5161 × 20% + 0.4839 × 12% = 10.32% + 5.81% = 16.13%.

The result is lower than the cost of equity of 20%, because cheaper debt is part of the mix. Under the net income approach, more debt would lower Ko further and raise the firm's value.

(b) Early signs of cash flow problems

The first signs are often in the working capital cycle. Customers pay late, so receivables and the collection period lengthen. The firm in turn delays payments to suppliers or loses early-payment discounts, and suppliers begin demanding advance payment. Inventory builds up as sales slow.

Other signs are heavy reliance on overdrafts and short-term borrowing to meet routine expenses such as salaries, repeated requests to extend credit limits, and borrowing to pay existing loans. A firm may show accounting profit but have a falling cash balance, which is a sign that profits are tied up in receivables or stock.

Further warnings are bounced cheques, delay in paying taxes and statutory dues, breach of loan covenants, falling sales or margins, heavy dependence on a few customers, and a cash forecast that repeatedly misses its target. Early detection allows action before a shortage becomes insolvency.

(c)(i) Price as the most important element of the marketing mix

The statement has some basis. Price is the only element that produces revenue, while product, place and promotion create costs. It is flexible, as it can be changed quickly, unlike the product or channel. It signals quality and position, shapes demand according to price elasticity and directly affects profit. In price-sensitive markets, such as FMCG for low-income buyers, price is decisive, as with Nirma's low-priced detergent that disrupted the market.

But it is not always the most important. Customers buy value, meaning benefits relative to price, and quality, brand, convenience and service matter greatly. Apple sells at premium prices because of design and ecosystem. A low price cannot rescue a poor product, and a good price is useless without distribution. The mix elements work together.

The judgement is that price is critical, but importance depends on the product, market and customers, and no single element is supreme.

(c)(ii) The right time to change price, and leadership pricing today

Firms usually review price when a trigger arises. The process is: first, identify the trigger, such as a change in cost, a competitor's move, a shift in demand, the stage of the product life cycle, excess capacity or regulation. Second, estimate demand elasticity and how customers will react. Third, anticipate competitors' response. Fourth, test the profit effect, for example how much extra volume pays for a price cut. Fifth, choose the timing, such as a festive season, a new model launch or a cost change, and communicate it clearly. Finally, monitor results and adjust.

Under price leadership a dominant firm sets the price and others follow. It still applies in oligopolies. In India, Jio raised mobile tariffs in June 2024 and Airtel and Vodafone Idea followed within a day. Cement and steel also show leader-follower behaviour.

But its scope is narrower today. Online price comparison, disruptive entrants, and competition-law scrutiny of parallel pricing limit it, and a leader that raises price may lose share if followers do not follow.

How this answer will be evaluated

Framework: Net Income (NI) Approach

What earns full marks: Accurate calculations, clear reasoning, and relevant 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 the market value of equity and the value of the firm. 12 marks

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

    Must cover

    • Interest = 12% x 30,00,000 = 3,60,000
    • Earnings to equity = 6,40,000
    • Equity value = 6,40,000 / 0.20 = 32,00,000
    • Firm value = 62,00,000

    Loses marks

    • Final value only with no steps.

    Earns more

    • Marks for correct steps and results with the net income assumptions stated.

    Extra mark

    • Stating that no tax is assumed.
  2. (a)(ii) Compute the overall cost of capital. 8 marks

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

    Must cover

    • Ko = EBIT / V
    • 10,00,000 / 62,00,000 = 16.13%
    • Weighted check: 51.61% x 20% + 48.39% x 12%
    • Interpretation: below Ke because of cheap debt

    Loses marks

    • Result without formula or units.

    Earns more

    • Marks for the correct result with a check and interpretation.

    Extra mark

    • Effect of more debt under the net income approach.
  3. (b) Highlight early signs of cash flow problems. 10 marks

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

    Must cover

    • Late customer payments and rising receivables
    • Delaying suppliers; reliance on overdrafts
    • Profit with falling cash
    • Bounced cheques, statutory delays, covenant breach

    Loses marks

    • Exhaustive list with no selection.

    Earns more

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

    Extra mark

    • Repeated forecast misses.
  4. (c)(i) Discuss whether price is the most important element of the marketing mix. 10 marks

    discuss— intro → 3-4 dimensions → example → balanced close

    Must cover

    • Case for price: only revenue-earning element, flexible, signalling
    • Price-sensitive markets with example
    • Case against: value, quality, brand, distribution
    • Balanced judgement

    Loses marks

    • One-sided argument.

    Earns more

    • Marks for both sides and a judgement with examples.

    Extra mark

    • Nirma and Apple.
  5. (c)(ii) Elaborate the process of deciding the right time to change price and discuss whether leadership pricing applies today, with examples. 10 marks

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

    Must cover

    • Triggers for price change
    • Steps: elasticity, competitor response, profit test, timing, monitoring
    • Leadership pricing in oligopolies with Indian examples
    • Today's limits: transparency, disruptors, competition law

    Loses marks

    • Description of pricing methods only.

    Earns more

    • Marks for the process and a reasoned view with examples.

    Extra mark

    • Jio tariff lead in 2024.
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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