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Madrid PAU Business and Business Model Design (Empresa y Diseño de Modelos de Negocio) study materials
Madrid PAU Business and Business Model Design (Empresa y Diseño de Modelos de Negocio) study resources

Madrid PAU Business and Business Model Design (Empresa y Diseño de Modelos de Negocio) practice questions

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Question 1Strategy, entrepreneurship and business models

In Alexander Osterwalder's Business Model Canvas, which building block defines the bundle of products and services that create value for a specific customer segment?

  1. Value Propositions Correct answer.
  2. Key Resources
  3. Customer Relationships
  4. Channels

Explanation

The Value Proposition is the fundamental building block of the Business Model Canvas that describes how a company solves a customer problem or satisfies a customer need through a tailored bundle of products or services. It represents the primary reason why customers turn to one company over another.

Question 2Strategy, entrepreneurship and business models

A tech startup develops a cloud platform connecting independent graphic designers directly with corporate clients seeking custom branding. In the Business Model Canvas, how should this customer structure be classified?

  1. Multi-sided platform (or multi-sided market) Correct answer.
  2. Niche market
  3. Mass market
  4. Diversified market

Explanation

A multi-sided platform brings together two or more distinct but interdependent groups of customers (in this case, freelance designers and corporate clients). The platform creates value by facilitating interactions between these groups, and its value grows as more users join on either side.

Question 3Strategy, entrepreneurship and business models

Which type of revenue stream is generated when a software company charges users a fixed monthly fee for continuous access to its cloud application?

  1. Subscription fees Correct answer.
  2. Asset sale
  3. Licensing
  4. Brokerage fees

Explanation

Subscription fees represent recurring revenue generated by selling continuous access to a service over a designated period. Common examples include SaaS software platforms, gym memberships, and streaming media services.

Question 4Strategy, entrepreneurship and business models

Patents, proprietary algorithms, brand trademarks, and customer databases belong to which category of Key Resources in the Business Model Canvas?

  1. Intellectual resources Correct answer.
  2. Physical resources
  3. Human resources
  4. Financial resources

Explanation

Intellectual resources encompass intangible strategic assets such as brands, proprietary knowledge, patents, copyrights, partnerships, and customer databases that provide a sustainable competitive barrier.

Question 5Strategy, entrepreneurship and business models

When two direct competitors form a strategic partnership to jointly research clean energy technologies while remaining competitors in the retail vehicle market, this arrangement is best described as:

  1. Coopetition Correct answer.
  2. Vertical integration
  3. Conglomerate merger
  4. Hostile takeover

Explanation

Coopetition is a strategic alliance between competing firms that cooperate in specific non-core or pre-competitive areas (such as joint R&D or infrastructure sharing) while actively competing in retail markets.

Question 6Strategy, entrepreneurship and business models

Luxury fashion brands such as Rolex or Hermès prioritize premium materials, exclusive customer service, and prestige branding over minimizing operational costs. How is their cost architecture characterized in business model theory?

  1. Value-driven cost structure Correct answer.
  2. Cost-driven cost structure
  3. Economies of scale focus
  4. Variable cost minimization

Explanation

Value-driven business models focus primarily on high-value creation, premium quality, and tailored customer experience rather than cost minimization. Pricing is premium, and expenses are structured to maintain high product standards.

Question 7Strategy, entrepreneurship and business models

In Yves Pigneur and Alexander Osterwalder's Value Proposition Canvas, which element on the Value Map directly addresses specific negative emotions, risks, and obstacles experienced by the customer while performing a task?

  1. Pain Relievers Correct answer.
  2. Gain Creators
  3. Customer Jobs
  4. Products & Services

Explanation

Pain Relievers explicitly describe how your products and services alleviate specific customer pains, eliminate risks, or remove obstacles that customers encounter before, during, or after completing a job.

Question 8Strategy, entrepreneurship and business models

In a strategic SWOT (DAFO) analysis, an unexpected increase in government environmental regulations requiring costly equipment upgrades represents a(n):

  1. External Threat (Amenaza) Correct answer.
  2. Internal Weakness (Debilidad)
  3. Internal Strength (Fortaleza)
  4. External Opportunity (Oportunidad)

Explanation

Government regulations originate in the macro-environment outside the direct control of the firm. Because the mandatory regulations impose added costs and operational burdens, they are classified as an External Threat.

Question 9Strategy, entrepreneurship and business models

When applying the CAME matrix to follow up on a DAFO analysis, which strategy corresponds directly to confronting external threats (Amenazas)?

  1. Afrontar (Confront / Defend) Correct answer.
  2. Corregir (Correct)
  3. Mantener (Maintain)
  4. Explotar (Exploit)

Explanation

The CAME acronym stands for Corregir debilidades (Correct weaknesses), Afrontar amenazas (Confront/Defend threats), Mantener fortalezas (Maintain strengths), and Explotar oportunidades (Exploit opportunities).

Question 10Strategy, entrepreneurship and business models

Under the PESTEL macro-environmental framework, demographics, educational levels, income distribution, and shifting consumer lifestyle trends are analyzed under which dimension?

  1. Sociocultural Correct answer.
  2. Technological
  3. Economic
  4. Political

Explanation

The Sociocultural (S) dimension of PESTEL examines demographic changes, cultural values, educational shifts, income distribution patterns, and evolving lifestyle preferences that impact consumer demand.

Question 11Strategy, entrepreneurship and business models

According to Michael Porter's Five Forces framework, which scenario increases the threat of substitute products in an industry?

  1. Alternative products offer an attractive price-performance trade-off with low buyer switching costs Correct answer.
  2. The industry is characterized by high capital entry barriers and proprietary patents
  3. Suppliers are highly concentrated and supply essential raw materials
  4. Buyers purchase in small quantities and face high contractual switching fees

Explanation

The threat of substitutes is high when alternative products performing similar functions offer superior or comparable value/price performance while customers face low switching costs to change providers.

Question 12Strategy, entrepreneurship and business models

Supplier bargaining power is strongest when:

  1. Suppliers offer unique or highly differentiated inputs and face no direct substitute inputs Correct answer.
  2. There are numerous competing suppliers producing standardized commodity inputs
  3. The purchasing industry represents a major portion of the suppliers' total sales
  4. Switching costs between alternative suppliers are virtually zero

Explanation

Suppliers possess strong bargaining power when their products are differentiated, critical to the buyer's business, lack substitutes, and switching suppliers imposes significant costs on buyers.

Question 13Strategy, entrepreneurship and business models

A business pursuing Porter's generic strategy of Cost Leadership aims to achieve competitive advantage by:

  1. Becoming the lowest-cost producer across an entire industry through operational efficiency and economies of scale Correct answer.
  2. Creating unique product features that allow charging a high premium price to a narrow market segment
  3. Offering highly customized luxury goods to a niche demographic regardless of cost
  4. Relying exclusively on aggressive promotional campaigns without modifying production costs

Explanation

Cost Leadership involves maintaining the lowest operational and manufacturing costs across a broad industry target, allowing the firm to earn above-average profits or offer lower prices than competitors.

Question 14Strategy, entrepreneurship and business models

In Porter's framework, what distinguishes a Focus (or Niche) strategy from broad Cost Leadership or Differentiation strategies?

  1. Focus targets a narrow competitive scope or specific market segment rather than an industry-wide audience Correct answer.
  2. Focus requires operating as a non-profit entity
  3. Focus eliminates all marketing expenses in favor of word-of-mouth
  4. Focus can only be pursued by state-owned public enterprises

Explanation

Focus strategies select a narrow competitive segment or niche (a specific buyer group, geographic region, or product line) and tailor strategy to serve that segment exclusively, either through cost focus or differentiation focus.

Question 15Strategy, entrepreneurship and business models

According to Igor Ansoff's Growth Matrix, selling existing products into existing markets to increase market share is called:

  1. Market Penetration Correct answer.
  2. Market Development
  3. Product Development
  4. Diversification

Explanation

Market Penetration is the growth strategy focused on increasing sales of existing products within existing markets through aggressive marketing, sales promotions, pricing tactics, or winning competitor customers.

Question 16Strategy, entrepreneurship and business models

A Spanish dairy cooperative launches plant-based oat milk beverages for the first time into their current national supermarket distribution network. Under Ansoff's Growth Matrix, this is an example of:

  1. Product Development Correct answer.
  2. Market Penetration
  3. Market Development
  4. Unrelated Diversification

Explanation

Developing a new product category (plant-based oat milk) to serve existing customer segments and distribution channels (national supermarkets) is a classic Product Development strategy.

Question 17Strategy, entrepreneurship and business models

A digital media platform provides free basic services to all users while charging a premium subscription for advanced features, ad-free browsing, and cloud storage. Which business model pattern is this?

  1. Freemium model Correct answer.
  2. Razor and Blade model
  3. Pay-as-you-go model
  4. Reverse auction model

Explanation

The Freemium business model combines a free basic tier (to attract a large user base with zero marginal cost) with premium paid features or subscriptions targeted at a smaller percentage of converting power users.

Question 18Strategy, entrepreneurship and business models

A company sells coffee pod machines at cost or near-cost, but generates high profit margins on proprietary coffee capsules that consumers must repurchase continuously. This is known as:

  1. Bait and Hook (Razor and Blade) model Correct answer.
  2. Open-source model
  3. Peer-to-peer model
  4. Franchising model

Explanation

The Bait and Hook (or Razor and Blade) model locks in customers by offering a base product (coffee machine) at a competitive price while charging lucrative prices for essential recurring consumables (proprietary pods).

Question 19Strategy, entrepreneurship and business models

Which phenomenon describes how the value of a digital platform (like ridesharing or online auction sites) to users on one side increases as the number of active users on the opposite side grows?

  1. Cross-side (indirect) network effects Correct answer.
  2. Internal economies of scale
  3. Vertical integration synergies
  4. Diminishing marginal returns

Explanation

Cross-side (or indirect) network effects occur in multi-sided platforms where an increase in participants on one side of the platform (e.g., passengers or buyers) directly increases the utility and value for participants on the complementary side (e.g., drivers or sellers).

Question 20Strategy, entrepreneurship and business models

What is the primary conceptual difference between a company's Mission statement and its Vision statement?

  1. Mission defines current purpose, core business, and target customers, whereas Vision describes desired future aspirations and strategic position Correct answer.
  2. Mission outlines short-term financial budgets, whereas Vision lists daily operational tasks
  3. Mission is intended strictly for tax authorities, whereas Vision is published for shareholders
  4. Mission focuses on supplier relations, whereas Vision focuses on employee payroll

Explanation

A Mission statement explains why the company currently exists, what business it is in, and who it serves. A Vision statement articulates where the company aspires to be in the long-term future.

Question 21Strategy, entrepreneurship and business models

When setting corporate goals, what does the 'M' in the SMART objectives framework stand for?

  1. Measurable Correct answer.
  2. Market-driven
  3. Mandatory
  4. Maximized

Explanation

In the SMART criteria for goal formulation, SMART stands for Specific, Measurable, Achievable, Relevant, and Time-bound. 'Measurable' ensures progress can be quantified.

Question 22Strategy, entrepreneurship and business models

An olive oil producer in Andalusia purchases an olive grove agricultural farm to secure its supply of olives. This strategic expansion is classified as:

  1. Backward vertical integration Correct answer.
  2. Forward vertical integration
  3. Horizontal integration
  4. Unrelated diversification

Explanation

Backward vertical integration occurs when a company moves upstream along its supply chain to acquire or control suppliers of raw materials or components.

Question 23Strategy, entrepreneurship and business models

How does a Joint Venture differ structurally from a corporate Merger?

  1. A Joint Venture creates a separate co-owned business entity while parent companies maintain independence, whereas a Merger combines two entities into one Correct answer.
  2. A Joint Venture requires total liquidation of both founding companies
  3. A Merger is an informal contract lasting under one month
  4. A Joint Venture can only be formed between non-profit organizations

Explanation

In a Joint Venture, two or more independent parent companies jointly fund and create a new legal entity to pursue a specific project while remaining legally separate. A Merger legally combines two existing companies into a single unified entity.

Question 24Strategy, entrepreneurship and business models

According to the Barney VRIO framework, a firm resource or capability can generate a Sustained Competitive Advantage only if it satisfies which criteria?

  1. Valuable, Rare, Inimitable (Costly to Imitate), and Organized (Supported by the Organization) Correct answer.
  2. Variable, Renewable, International, and Operational
  3. Visual, Rapid, Innovative, and Outspoken
  4. Venture-backed, Risk-free, Immediate, and Outstanding

Explanation

The VRIO framework posits that sustained competitive advantage requires resources that are Valuable (exploit opportunities/neutralize threats), Rare (possessed by few competitors), Inimitable (costly for rivals to copy), and Organized (the firm has processes to capture value).

Question 25Strategy, entrepreneurship and business models

The 'Triple Bottom Line' framework evaluates corporate performance across three distinct dimensions. What are these three dimensions?

  1. People, Planet, Profit (Social, Environmental, Economic) Correct answer.
  2. Price, Product, Promotion
  3. Planning, Processing, Paying
  4. Patent, Production, Payroll

Explanation

The Triple Bottom Line (TBL), formulated by John Elkington, measures corporate performance beyond traditional financial profit (Economic) to include Social impact (People) and Environmental sustainability (Planet).

Question 26Finance, accounting and controls

On a standardized Spanish General Accounting Plan balance sheet, how is the basic accounting identity expressed?

  1. Total Assets = Equity + Total Liabilities (Activo Total = Patrimonio Neto + Pasivo Total) Correct answer.
  2. Total Assets = Gross Revenue - Income Tax
  3. Equity = Total Assets + Total Liabilities
  4. Current Assets = Net Profit + Depreciation

Explanation

The fundamental accounting equation dictates that Total Assets (Activo) must equal Net Equity (Patrimonio Neto) plus Total Liabilities (Pasivo), reflecting how all company assets are financed via owner equity or external debt.

Question 27Finance, accounting and controls

Which balance sheet asset account is classified under Non-Current Assets (Activo No Corriente)?

  1. Industrial machinery and production facilities Correct answer.
  2. Merchandise inventory in the warehouse
  3. Trade receivables (Clientes)
  4. Cash balances in bank checking accounts

Explanation

Industrial machinery and production facilities are tangible fixed assets (Inmovilizado Material) intended for long-term operational use exceeding one operating cycle (>1 year), thus belonging to Activo No Corriente.

Question 28Finance, accounting and controls

Within Current Assets (Activo Corriente), how are sub-categories correctly ordered from LEAST liquid to MOST liquid?

  1. Existencias (Inventories) -> Realizable (Receivables) -> Disponible (Cash & Cash Equivalents) Correct answer.
  2. Disponible -> Realizable -> Existencias
  3. Realizable -> Existencias -> Disponible
  4. Existencias -> Disponible -> Realizable

Explanation

Current assets are ordered by increasing liquidity: Existencias must be sold to become receivables; Realizable must be collected to become cash; Disponible is already cash in hand.

Question 29Finance, accounting and controls

A manufacturing firm presents Current Assets (Activo Corriente) of €80,000 and Current Liabilities (Pasivo Corriente) of €50,000. Calculate its Working Capital (Fondo de Maniobra).

  1. €30,000 Correct answer.
  2. €130,000
  3. -€30,000
  4. €1.60

Explanation

Working Capital (Fondo de Maniobra) is calculated as Current Assets minus Current Liabilities: FM = AC - PC = €80,000 - €50,000 = €30,000. A positive Working Capital indicates financial stability.

Question 30Finance, accounting and controls

A company reports Equity (Patrimonio Neto) of €120,000, Non-Current Liabilities (Pasivo No Corriente) of €40,000, and Non-Current Assets (Activo No Corriente) of €130,000. Using the long-term capital formula, what is the Working Capital (Fondo de Maniobra)?

  1. €30,000 Correct answer.
  2. €290,000
  3. -€30,000
  4. €10,000

Explanation

Working Capital can also be calculated as Permanent Capital minus Non-Current Assets: FM = (PN + PNC) - ANC = (€120,000 + €40,000) - €130,000 = €160,000 - €130,000 = €30,000.

Question 31Finance, accounting and controls

When a firm's Current Liabilities exceed its Current Assets (FM < 0), causing short-term liquidity bottlenecks where immediate debts cannot be paid as they mature, the firm is in a state of:

  1. Technical Insolvency / Short-term liquidity deficit (Suspensión de pagos o iliquidez) Correct answer.
  2. Complete Bankruptcy (Quiebra)
  3. Maximum Financial Solvency
  4. Overcapitalization

Explanation

A negative Working Capital (FM < 0) means short-term debt exceeds short-term assets. This creates a technical insolvency or liquidity crisis because short-term obligations mature before short-term assets can be converted into cash.

Question 32Finance, accounting and controls

A corporation has Total Assets of €500,000 and Total External Debt (Pasivo No Corriente + Pasivo Corriente) of €580,000, resulting in Net Equity of -€80,000. Which financial equilibrium state does this represent?

  1. Bankruptcy / Absolute Insolvency (Quiebra) Correct answer.
  2. Normal Financial Equilibrium
  3. Technical Liquidity Surplus
  4. Financial Leverage Neutrality

Explanation

When Total Liabilities exceed Total Assets, Net Equity becomes negative. Even if all company assets were liquidated, external debts could not be fully repaid. This state represents absolute insolvency or bankruptcy (Quiebra).

Question 33Finance, accounting and controls

A company produces customized artisanal bicycles. Fixed costs are €60,000 per year, selling price is €500 per unit, and variable cost is €200 per unit. Calculate the Break-Even Point in units (Umbral de Rentabilidad).

  1. 200 units Correct answer.
  2. 300 units
  3. 120 units
  4. 500 units

Explanation

The break-even volume Q* is calculated as Q* = CF / (P - CVU) = €60,000 / (€500 - €200) = €60,000 / €300 = 200 units.

Question 34Finance, accounting and controls

For the bicycle firm in the previous question (Break-even quantity Q* = 200 units, unit selling price P = €500), what is the Break-Even Turnover / Revenue in monetary terms (Ingresos de Umbral)?

  1. €100,000 Correct answer.
  2. €60,000
  3. €40,000
  4. €150,000

Explanation

Break-even revenue is calculated as Q* × P = 200 units × €500 = €100,000. At €100,000 revenue, total revenues (€100,000) equal total costs (€60,000 fixed + 200 × €200 variable = €100,000).

Question 35Finance, accounting and controls

A factory has Annual Fixed Costs of €40,000. It sells desk lamps for €100 each with a Variable Cost per lamp of €60. How many lamps must be sold to earn a target operating profit of €20,000?

  1. 1,500 units Correct answer.
  2. 1,000 units
  3. 600 units
  4. 400 units

Explanation

To achieve a target profit B, required units Q = (CF + B) / (P - CVU) = (€40,000 + €20,000) / (€100 - €60) = €60,000 / €40 = 1,500 units.

Question 36Finance, accounting and controls

An enterprise generated Sales Revenues of €200,000, Cost of Goods Sold of €90,000, Operating Staff Costs of €40,000, and Fixed Asset Depreciation of €10,000. What is its Operating Profit (BAII / EBIT)?

  1. €60,000 Correct answer.
  2. €110,000
  3. €70,000
  4. €50,000

Explanation

Operating Profit (BAII / EBIT) = Revenue - COGS - Operating Expenses - Depreciation = €200,000 - €90,000 - €40,000 - €10,000 = €60,000.

Question 37Finance, accounting and controls

A business generates Operating Earnings (BAII) of €40,000 with Total Assets of €400,000. Calculate its Economic Profitability / Return on Assets (ROA / Rentabilidad Económica).

  1. 10% Correct answer.
  2. 15%
  3. 8%
  4. 25%

Explanation

Economic Profitability (ROA) measures how efficiently total assets generate operating profit before interest and taxes: ROA = (BAII / Total Assets) × 100 = (€40,000 / €400,000) × 100 = 10%.

Question 38Finance, accounting and controls

A business reports Net Profit (Beneficio Neto) of €30,000 and Net Equity (Patrimonio Neto) of €200,000. What is its Financial Profitability / Return on Equity (ROE / Rentabilidad Financiera)?

  1. 15% Correct answer.
  2. 10%
  3. 6.67%
  4. 20%

Explanation

Financial Profitability (ROE) measures the return generated on the owners' invested equity: ROE = (Net Profit / Net Equity) × 100 = (€30,000 / €200,000) × 100 = 15%.

Question 39Finance, accounting and controls

Under what condition does using debt financing generate a POSITIVE Financial Leverage Effect (Apalancamiento Financiero Positivo), increasing ROE above ROA?

  1. When Return on Assets (ROA) exceeds the interest rate (cost of debt) paid on borrowed capital Correct answer.
  2. When the cost of borrowing interest exceeds Economic Profitability (ROA)
  3. When the firm carries zero debt and 100% equity financing
  4. When Corporate Income Tax rates increase to 50%

Explanation

Positive leverage occurs when the yield earned on assets (ROA) is higher than the interest rate paid to borrow funds. Borrowing at a lower cost than the return earned on invested assets boosts return on equity (ROE).

Question 40Finance, accounting and controls

A retail firm reports Current Assets of €150,000 and Current Liabilities of €100,000. Calculate its Current Ratio (Ratio de Liquidez o Solvencia a Corto Plazo).

  1. 1.50 Correct answer.
  2. 0.67
  3. 0.50
  4. 2.50

Explanation

Current Ratio = Current Assets / Current Liabilities = €150,000 / €100,000 = 1.50. This falls within the recommended benchmark range of 1.5 to 2.0.

Question 41Finance, accounting and controls

For the firm above (Current Assets €150,000, Current Liabilities €100,000), if Merchandise Inventory (Existencias) equals €50,000, calculate its Acid Test Ratio (Test Ácido / Ratio de Tesorería).

  1. 1.00 Correct answer.
  2. 1.50
  3. 0.50
  4. 0.33

Explanation

The Acid Test ratio excludes less liquid inventory: Acid Test = (Current Assets - Inventories) / Current Liabilities = (€150,000 - €50,000) / €100,000 = €100,000 / €100,000 = 1.00. Ideal target is around 0.8 to 1.0.

Question 42Finance, accounting and controls

A firm has Bank Cash Balances (Disponible) of €20,000 and Current Liabilities of €100,000. What is its Cash Ratio (Ratio de Disponibilidad o Caja)?

  1. 0.20 Correct answer.
  2. 0.80
  3. 1.20
  4. 5.00

Explanation

Cash Ratio = Cash & Equivalents (Disponible) / Current Liabilities = €20,000 / €100,000 = 0.20 (or 20%). The optimal benchmark range is typically 0.10 to 0.30.

Question 43Finance, accounting and controls

A corporate balance sheet lists Total Assets of €500,000, Total Debt (Pasivo Total) of €300,000, and Net Equity of €200,000. Calculate its Solvency Ratio / Debt Ratio (Ratio de Garantía o Endeudamiento Total = Pasivo Total / Activo Total).

  1. 0.60 (or 60%) Correct answer.
  2. 1.50
  3. 0.40 (or 40%)
  4. 2.50

Explanation

Debt Ratio (Endeudamiento sobre activo) = Total Debt / Total Assets = €300,000 / €500,000 = 0.60 (60%). This indicates 60% of total assets are financed through external debt financing.

Question 44Finance, accounting and controls

An industrial machine requires an initial outlay of €100,000 and generates constant net cash inflows of €25,000 per year. What is its Payback Period (Plazo de Recuperación / Payback)?

  1. 4 years Correct answer.
  2. 5 years
  3. 2.5 years
  4. 10 years

Explanation

For equal annual cash flows, Payback Period = Initial Outlay / Annual Cash Flow = €100,000 / €25,000 = 4 years.

Question 45Finance, accounting and controls

An investment project requires an initial outlay of €50,000. Cash flow in Year 1 is €20,000, Year 2 is €20,000, and Year 3 is €20,000. What is the exact Payback Period?

  1. 2.5 years (2 years and 6 months) Correct answer.
  2. 3 years
  3. 2 years
  4. 1.5 years

Explanation

After Year 1 (€20,000) and Year 2 (€20,000), €40,000 is recovered, leaving €10,000 remaining. Since Year 3 yields €20,000, the remaining €10,000 is recovered in exactly 0.5 years (10,000 / 20,000). Total payback = 2.5 years.

Question 46Finance, accounting and controls

A firm evaluates a project requiring an initial investment of €100,000. It produces net cash flows of €55,000 in Year 1 and €66,000 in Year 2. If the discount rate (cost of capital) is 10%, calculate the Net Present Value (NPV / VAN).

  1. +€4,545.45 (Accept project) Correct answer.
  2. -€4,545.45 (Reject project)
  3. +€21,000.00 (Accept project)
  4. €0.00 (Indifferent)

Explanation

VAN = -I0 + [CF1 / (1+k)] + [CF2 / (1+k)^2] = -100,000 + [55,000 / 1.10] + [66,000 / 1.21] = -100,000 + 50,000 + 54,545.45 = +€4,545.45. Since VAN > 0, the project creates net value and should be accepted.

Question 47Finance, accounting and controls

When comparing two mutually exclusive investment projects with equal initial outlays and capital costs, which project selection rule is correct under NPV (VAN)?

  1. Select the project with the higher positive Net Present Value (VAN), as it generates greater net wealth Correct answer.
  2. Select the project with the longer payback period
  3. Select the project with lower total nominal cash flows regardless of discounting
  4. Select whichever project has an NPV closest to zero

Explanation

For mutually exclusive projects, the optimal decision rule is to accept the project yielding the highest positive Net Present Value (VAN), which maximizes shareholder wealth creation.

Question 48Finance, accounting and controls

What is the theoretical definition of the Internal Rate of Return (TIR / IRR) of an investment project?

  1. The discount rate 'r' at which Net Present Value (VAN) equals exactly zero Correct answer.
  2. The annual interest rate charged by commercial banks on long-term loans
  3. The percentage of total sales revenue retained as gross operating margin
  4. The ratio of total assets divided by initial capital outlay

Explanation

The Internal Rate of Return (TIR) is the intrinsic discount rate 'r' that equates the present value of expected net cash inflows to the initial capital outlay (making VAN = 0). An investment is accepted if TIR > k (cost of capital).

Question 49Finance, accounting and controls

A company purchases delivery vans for €50,000 with an estimated useful life of 5 years and a projected residual value of €5,000. Using straight-line (linear) depreciation, calculate the annual amortization expense (Cuota de Amortización).

  1. €9,000 per year Correct answer.
  2. €10,000 per year
  3. €5,000 per year
  4. €45,000 per year

Explanation

Linear Annual Amortization = (Purchase Cost - Residual Value) / Useful Life = (€50,000 - €5,000) / 5 years = €45,000 / 5 = €9,000 per year.

Question 50Marketing and market evidence

In market research, what distinguishes Primary Data from Secondary Data?

  1. Primary data is original information gathered specifically for the current research objective, whereas secondary data already exists from prior studies Correct answer.
  2. Primary data is always free, whereas secondary data must be purchased
  3. Primary data refers strictly to financial accounting reports
  4. Primary data is collected by government agencies, whereas secondary data is gathered internally

Explanation

Primary data is collected firsthand for the specific problem at hand through surveys, interviews, or experiments. Secondary data consists of existing information previously gathered for other purposes (e.g., census data, industry reports).