Paper I — Q8
(a) X Limited has its present annual sales amounting to ₹ 60 lakhs at ₹ 24 per unit. Variable costs are ₹ 16 per unit and fixed…
(a) X Limited has its present annual sales amounting to ₹ 60 lakhs at ₹ 24 per unit. Variable costs are ₹ 16 per unit and fixed costs amount to ₹ 5 lakhs per annum. Its present credit period of one month is proposed to be extended to either two or three months whichever appears to be more profitable. The following estimates are made for the purpose : Fixed costs will increase by ₹ 1,00,000 annually after an increase in sales above 25% over the present level. The company requires a pre-tax return on investment of at least 20% for the level of risk involved. What will be the most rewarding credit policy in case of X Limited under the above circumstances? (20 marks) (b) Details regarding three companies are given below : | A Limited | B Limited | C Limited | |-----------|-----------|-----------| | r = 15% | r = 10% | r = 8% | | k = 10% | k = 10% | k = 10% | | E = ₹10 | E = ₹10 | E = ₹10 | Using Walter's model, you are required to calculate the value of an Equity Share of each of these companies when dividend payout ratio is (i) 20%, (ii) 50% and (iii) 0%. (15 marks) (c) What is venture capital? Explain the functions of venture capital for the development of economy. Also discuss the various stages of venture capital financing. (15 marks)
हिंदी में प्रश्न पढ़ें
(a) X लिमिटेड की वर्तमान वार्षिक बिक्री ₹ 24 प्रति इकाई से ₹ 60 लाख है। परिवर्तनीय लागत ₹ 16 प्रति इकाई है और स्थायी लागत ₹ 5 लाख प्रति वर्ष है। इसकी वर्तमान एक महीने की क्रेडिट अवधि को दो या तीन महीने तक, जो भी लाभदायक हो, बढ़ाने का प्रस्ताव है। इस उद्देश्य के लिए निम्नलिखित अनुमान लगाए गए हैं : वर्तमान स्तर से 25% से अधिक की बिक्री में वृद्धि के बाद स्थायी लागत में ₹ 1,00,000 की वार्षिक वृद्धि होगी। कंपनी को निहित जोखिम के स्तर के लिए कम-से-कम 20 प्रतिशत कर से पूर्व, निवेश पर प्रतिफल की आवश्यकता होगी। उपर्युक्त परिस्थितियों में X लिमिटेड के लिए सबसे अच्छी क्रेडिट नीति क्या होगी? (20 marks) (b) तीन कंपनियों के बारे में विवरण नीचे दिया गया है : वॉल्टर मॉडल का प्रयोग करते हुए आपको तीनों कंपनियों में से प्रत्येक के समता शेयर के मूल्य की गणना करनी है जब लाभांश भुगतान अनुपात (i) 20%, (ii) 50% तथा (iii) 0% है। (15 marks) (c) उद्यम पूँजी (वेंचर कैपिटल) क्या है? अर्थव्यवस्था के विकास के लिए उद्यम पूँजी के कार्यों का वर्णन कीजिए। उद्यम पूँजी वित्तपोषण के विभिन्न चरणों पर भी चर्चा कीजिए। (15 marks)
Directive word: Calculate
This question asks you to calculate. The directive word signals the depth of analysis expected, the structure of your answer, and the weight of evidence you must bring.
See our UPSC directive words guide for a full breakdown of how to respond to each command word.
How this answer will be evaluated
Approach
This question demands precise numerical calculation for parts (a) and (b) alongside conceptual explanation for part (c). Allocate approximately 40% of time to part (a) given its 20 marks and computational complexity involving incremental analysis of credit policies; 30% to part (b) for Walter's model calculations across three companies and three payout scenarios; and 30% to part (c) for defining venture capital, its economic functions, and financing stages. Structure with clear headings for each sub-part, show all working notes for calculations, and conclude with a brief synthesis on how working capital and dividend decisions interconnect with long-term financing.
Key points expected
- Part (a): Computation of present units (25,000), contribution per unit (₹8), and present profit; calculation of incremental sales, debtors, and investment in debtors for 2-month and 3-month credit policies; determination of incremental contribution, bad debts (if any), fixed cost increases, and opportunity cost at 20% required return; final comparison and selection of optimal credit period
- Part (b): Application of Walter's formula P = [D + (r/k)(E-D)]/k for all three companies; calculation of share value for each company at 20%, 50%, and 0% dividend payout ratios; demonstration that when r>k, value increases as payout decreases (A Ltd); when r=k, value is constant (B Ltd); when r<k, value increases as payout increases (C Ltd)
- Part (c): Clear definition of venture capital as equity financing for high-risk, high-potential startups; explanation of economic functions including employment generation, innovation promotion, entrepreneurial ecosystem development, and filling the 'funding gap' for SMEs
- Part (c): Detailed discussion of venture capital financing stages—seed stage, early stage (startup and first stage), expansion stage (second stage), and later stage (mezzanine/bridge financing); mention of Indian context with SEBI regulations and examples like Sequoia, Accel Partners, or government initiatives like SIDBI's Fund of Funds
- Integration insight: Brief connection showing how working capital management (part a), dividend policy (part b), and venture financing (part c) collectively influence firm valuation and economic growth
Evaluation rubric
| Dimension | Weight | Max marks | Excellent | Average | Poor |
|---|---|---|---|---|---|
| Demand-directive understanding | 15% | 7.5 | Correctly interprets 'calculate' for parts (a)-(b) by showing all computational steps with proper formulas, and 'explain/discuss' for part (c) by providing analytical depth rather than mere description; recognizes that part (a) requires incremental/profitability analysis, part (b) requires comparative static analysis across nine scenarios, and part (c) requires economic reasoning | Attempts calculations but may miss incremental approach or misapply Walter's formula; provides basic definitions for venture capital without clear economic functions or stage differentiation; mixes up the analytical requirements of numerical versus descriptive parts | Treats all parts uniformly without recognizing the calculate-explain distinction; omits key computational requirements or provides purely theoretical answers where numerical work is demanded; fails to address the comparative nature of the credit policy decision |
| Content depth & accuracy | 30% | 15 | Part (a): Accurately computes units (25,000), contribution (₹8/unit), incremental analysis for both policies with correct opportunity cost @20%, and selects optimal policy with clear justification; Part (b): Flawless application of Walter's model with correct share values for all 9 scenarios and valid interpretation of r vs. k relationship; Part (c): Comprehensive coverage of venture capital definition, 4-5 economic functions, and detailed stage-wise financing with Indian regulatory framework | Minor computational errors in contribution or opportunity cost calculations; correct formula but arithmetic mistakes in Walter's model; incomplete stage description or generic economic functions without Indian context; misses fixed cost increase trigger in part (a) | Major errors in unit calculations, contribution margin, or Walter's formula application; confuses dividend payout with retention ratio; omits opportunity cost entirely; superficial or incorrect venture capital description; missing multiple sub-parts or stages |
| Structure & flow | 20% | 10 | Clear tripartite structure with labeled sections (a), (b), (c); within part (a), presents current position → policy 1 analysis → policy 2 analysis → comparative statement → decision; part (b) uses tabular presentation for nine values with summary interpretation; part (c) follows definition → functions → stages sequence; effective use of working notes and appendices | All parts addressed but with inconsistent organization; calculations scattered without clear policy-wise grouping; tables present but poorly labeled; some working notes missing; part (c) functions and stages intermixed without logical progression | Disorganized presentation with calculations and explanations mixed haphazardly; no clear separation between sub-parts; missing working notes despite complex calculations; rambling structure in part (c) without identifiable sections; illegible or cramped presentation |
| Examples / case-law / data | 20% | 10 | For part (c), cites specific Indian examples such as SEBI (Alternative Investment Funds) Regulations 2012, SIDBI's Fund of Funds for Startups (FFS), or prominent VC firms (Sequoia Capital India, Accel Partners, Kalaari Capital); references successful Indian startups funded through venture capital (Flipkart, Ola, BYJU's); mentions government schemes like Startup India; parts (a)-(b) use realistic assumptions and industry benchmarks for required return | Generic mention of 'government support' or 'SEBI regulations' without specificity; no named VC firms or startups; parts (a)-(b) use given data adequately but without contextual industry comparison; examples in part (c) limited to foreign references (Silicon Valley) | No Indian examples or regulatory references in part (c); completely ignores the economy-wide and developmental aspects; parts (a)-(b) show numbers without any interpretive context or industry benchmarking; no awareness of contemporary venture capital landscape |
| Conclusion & analytical edge | 15% | 7.5 | Part (a) explicitly states the recommended credit policy with quantitative justification and risk consideration; part (b) synthesizes findings to validate Walter's theory on optimal payout policy under different investment opportunity scenarios; part (c) critically evaluates venture capital limitations (high failure rates, valuation bubbles) alongside benefits; brief concluding insight on how credit policy, dividend decisions, and external financing form integrated financial strategy | States conclusions for each part separately without synthesis; accepts Walter's model without noting its restrictive assumptions (constant r, k, E); describes venture capital benefits without critical evaluation; no cross-part integration or strategic overview | Missing conclusions for one or more parts; no policy recommendation in part (a); purely descriptive ending without analytical judgment; fails to recognize that Walter's model conclusions depend on r-k relationship; no awareness of venture capital risks or limitations |
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