Commerce & Accountancy 2021 Paper I 50 marks Calculate

Paper I — Q8

(a) A company has a capital of ₹ 100 crores with shares of ₹ 100 each. The shares are currently quoted at par in the market. The…

(a)

A company has a capital of ₹ 100 crores with shares of ₹ 100 each. The shares are currently quoted at par in the market. The company is planning to declare a dividend of ₹ 6 per share at the end of current financial year which has just started. The rate of capitalisation for the risk class to which the company belongs is 10%. Using Modigliani-Miller (MM) model, answer the following:

(i)

Calculate the price of the shares at the end of the year, if (1) dividend is declared and (2) dividend is not declared.

(ii)

Calculate the number of shares to be issued assuming the company pays dividend, has net income of ₹10 crores and make new investment of ₹ 20 crores during the year.

(iii)

Find out the value of the firm, if (1) dividend is declared and (2) dividend is not declared. 20 marks

(b)

Briefly explain the different techniques of inventory management in a manufacturing unit. 15 marks

(c)

Discuss the key reforms in banking sector in line with BASEL norms. 15 marks

हिंदी में प्रश्न पढ़ें
(a)

एक कम्पनी की पूँजी ₹ 100 वाले शेयरों के साथ ₹ 100 करोड़ है। आजकल ये शेयर बाजार में सममूल्य पर मिल रहे हैं। कम्पनी चालू वित्तीय वर्ष, जो अभी शुरू हुआ है, की समाप्ति पर ₹ 6 प्रति शेयर लाभांश घोषित करने की योजना बना रही है। कम्पनी जिस जोखिम वर्ग में आती है उसकी पूँजीकरण दर 10% है। मोडिग्लियानी-मिलर (एम० एम०) प्रतिरूप का प्रयोग करके निम्नलिखित के उत्तर दीजिए :

(i)

वर्ष की समाप्ति पर शेयर की कीमत का परिकलन कीजिए, यदि (1) लाभांश घोषित कर दिया गया है और (2) लाभांश घोषित नहीं किया गया है।

(ii)

यह मानकर कि कम्पनी ने लाभांश दिया है, उसकी निवल आय ₹ 10 करोड़ है और वह ₹ 20 करोड़ का नया निवेश इस वर्ष करना चाहती है, जारी किए जाने वाले शेयरों की संख्या का परिकलन कीजिए।

(iii)

फर्म का मूल्य ज्ञात कीजिए, यदि (1) लाभांश घोषित कर दिया गया है और (2) लाभांश घोषित नहीं किया गया है। 20 अंक

(b)

एक विनिर्माण इकाई में मालसूची प्रबंधन की विभिन्न तकनीकों को संक्षेप में समझाइए। 15 अंक

(c)

बेसल मानदंडों के अनुरूप बैंकिंग क्षेत्र में प्रमुख सुधारों की विवेचना कीजिए। 15 अंक

Q8 of the 2021 UPSC Mains Commerce & Accountancy Paper I, as printed
The question as printed in the 2021 Commerce & Accountancy 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) Modigliani-Miller (MM) valuation

MM assumes perfect markets: no taxes, no flotation costs, rational investors and a given investment policy, so dividend policy does not affect value. The firm has 100 crore/100 = 1 crore shares, P₀ = ₹100 and ke = 10%. The model is P₀ = (P₁ + D₁)/(1 + ke).

(i) Price at the end of the year

  • With dividend: 100 = (P₁ + 6)/1.10, so P₁ = 110 − 6 = ₹104.
  • Without dividend: 100 = P₁/1.10, so P₁ = ₹110.

(ii) New shares to be issued (dividend paid)

Dividend = 1 crore × 6 = ₹6 crore, so retained earnings = 10 − 6 = ₹4 crore. Funds needed from outside = 20 − 4 = ₹16 crore.

New shares = 16 crore/104 = 15,38,462 shares (about 0.1538 crore) at the end-of-year price of ₹104.

(iii) Value of the firm

V₀ = [(n + Δn)P₁ − I + E]/(1 + ke).

  • With dividend: [(1 + 0.1538) crore × 104 − 20 + 10]/1.10 = (120 − 10)/1.10 = ₹100 crore.
  • Without dividend: new shares = (20 − 10)/110 = 0.0909 crore (9,09,091 shares), and V₀ = [1.0909 × 110 − 20 + 10]/1.10 = (120 − 10)/1.10 = ₹100 crore.

The value is the same in both cases, so dividend policy is irrelevant under MM.

(b) Techniques of inventory management in a manufacturing unit

Inventory management ensures that raw material, work in progress and finished goods are available for continuous production at the lowest total cost. The main techniques are:

  • Economic order quantity (EOQ) = √(2AO/C), where A is annual use, O ordering cost per order and C carrying cost per unit. A steel plant uses it to balance ordering and storage costs.
  • ABC analysis: items are classed by value. A items (about 70% of value, few in number, such as engines) get tight control, B items moderate control and C items (nuts, bolts) simple control.
  • Reorder level, minimum, maximum and safety stock: order when stock reaches the reorder level (usage × lead time + safety stock) so that production does not stop.
  • Just-in-time (JIT): materials arrive only as needed, which cuts holding cost, as in an automobile assembly line.
  • VED analysis (vital, essential, desirable) for spares, and FSN analysis (fast, slow, non-moving) to identify obsolete stock.
  • Material requirements planning (MRP/ERP): production schedules and bills of materials fix what to order and when.
  • Perpetual inventory and stock verification: continuous recording and periodic physical checks to detect discrepancies.

(c) Key banking reforms in line with the Basel norms

The Basel Committee's norms were adopted by the RBI in stages.

  • Basel I (1988) fixed a minimum capital-to-risk-weighted assets ratio of 8% for credit risk. India adopted it in 1992–93 and set 9% by 2000.
  • Basel II (three pillars) added minimum capital with a charge for operational and market risk, supervisory review (ICAAP) and market discipline through disclosure. India implemented it from March 2008–09.
  • Basel III (after the 2008 crisis) was phased in from 2013 and completed by 2019. It raised the quality and quantity of capital: minimum CRAR of 9%, a 2.5% capital conservation buffer, a countercyclical buffer and higher common equity (CET1) and Tier 1 minimums. It added a leverage ratio (4%, 4.5% for D-SIBs) and liquidity standards, the 30-day Liquidity Coverage Ratio and the Net Stable Funding Ratio. Domestic systemically important banks (SBI, ICICI Bank and HDFC Bank) carry extra capital.
  • RBI's 2026 directions on the revised standardised approach for credit risk (and the market-risk rules) take effect from 1 April 2027.

These norms have strengthened capital and liquidity and risk management in banks, along with prompt corrective action and stress tests. Their costs are higher capital needs and some pressure on lending to small borrowers.

How this answer will be evaluated

Framework: Modigliani-Miller (MM) Model

What earns full marks: Shows complete understanding with accurate calculations, clear explanations, and relevant examples throughout all parts.

Evaluation rubric

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

  1. (a) Determine share price, number of shares to be issued, and firm value under MM model for both dividend and no-dividend scenarios. 20 marks

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

    Must cover

    • State MM model assumptions (no taxes, no flotation costs)
    • Apply P₀ = (P₁ + D₁)/(1 + ke): share price with dividend is ₹104
    • Share price without dividend is ₹110
    • Calculate number of shares to be issued for new investment

    Loses marks

    • Final figures without workings
    • Wrong application of MM model formulas
    • Missing units in calculations

    Earns more

    • Correctly apply rate of capitalization (10%)
    • Show working notes for all calculations
    • Calculate firm value for both scenarios (₹100 crore each)
    • Use correct units (₹ crores, per share)

    Extra mark

    • Explicitly state MM proposition I and II
    • Show verification that firm value is same in both cases
  2. (b) Explain different techniques of inventory management in a manufacturing unit. 15 marks

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

    Must cover

    • Define inventory management
    • Explain at least 3-4 techniques (EOQ, ABC analysis, JIT, etc.)
    • Provide context for manufacturing unit
    • Give small example for each technique

    Loses marks

    • Generic answer not specific to manufacturing
    • Missing examples for techniques
    • No clear structure or organization

    Earns more

    • Mention benefits of each technique
    • Show understanding of when to use each method
    • Include cost considerations
    • Reference to modern systems (ERP, MRP)

    Extra mark

    • Mention specific software or tools used
    • Reference to case study or real company example
  3. (c) Discuss key reforms in banking sector in line with BASEL norms. 15 marks

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

    Must cover

    • Define BASEL norms (I, II, III)
    • Explain 3-4 key reforms (capital adequacy, risk management, etc.)
    • Show how reforms apply to banking sector
    • Provide balanced view with example

    Loses marks

    • Confusing BASEL I, II, III requirements
    • No specific examples or applications
    • Missing connection to banking sector reforms

    Earns more

    • Mention specific BASEL requirements (CAR, leverage ratio, etc.)
    • Reference to RBI implementation
    • Show impact on banking operations
    • Mention timeline of implementation

    Extra mark

    • Reference to specific RBI circulars or guidelines
    • Mention impact on specific banks or sectors
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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