Business Mathematics & Analytics

Chapter 14
International Business and Managerial Analytics

Bachelors Program in International Business
Business Mathematics & Analytics   •   Bachelor

International Business and Managerial Analytics

Introduction and Context

International managers make decisions in environments where prices, costs, taxes, regulations, logistics, political conditions, and customer demand vary across countries. A product that appears profitable in the domestic market may become unattractive after exchange-rate movements, import duties, transport costs, withholding taxes, inventory delays, and country risk are considered.

Managerial analytics provides a structured way to convert international data into decisions. It combines financial analysis, operations measurement, market research, risk analysis, and performance dashboards. The purpose is not simply to calculate a number, but to identify the assumptions behind the number, test alternative scenarios, and connect results to strategic action.

A useful international decision model is:

\text{Decision value} = \text{Expected benefits} - \text{Expected economic costs} - \text{Risk adjustment}

The expression is conceptual rather than a universal accounting identity. Benefits and costs must be measured on a comparable basis, normally in the same currency and over the same time horizon. Risk adjustment may be represented through scenario analysis, probability-weighted outcomes, a higher discount rate, or a separate risk limit.

Learning Objectives

By the end of this chapter, students should be able to:

  1. Convert prices and costs using exchange rates and distinguish quotation conventions.
  2. Explain purchasing power parity and identify its limitations.
  3. Calculate the effects of tariffs, taxes, logistics costs, and transfer prices on landed cost and profitability.
  4. Evaluate global sourcing and market-entry alternatives using contribution, investment, and risk measures.
  5. Design useful international business KPIs and dashboards.
  6. Interpret country-risk, supply-chain, and foreign-exchange data responsibly.
  7. Recognize ethical, legal, governance, and data-quality issues in international analytics.

1. Exchange Rates and International Price Analytics

1.1 Exchange-rate notation

An exchange rate states the value of one currency in another. Suppose:

S = 1.10 USD/EUR

This means one euro costs 1.10 U.S. dollars. The quotation is expressed as domestic currency per unit of foreign currency. If a euro-denominated purchase has price PEUR, its dollar value is:

PUSD = PEUR × SUSD/EUR

Here, PUSD is the dollar price, PEUR is the euro price, and SUSD/EUR is dollars per euro. Units confirm the calculation: euros × dollars/euro = dollars.

The reciprocal rate is:

SEUR/USD = 1 ÷ SUSD/EUR

If SUSD/EUR = 1.10, then SEUR/USD ≈ 0.9091 euro per dollar. A common analytical error is to multiply when the quotation requires division.

1.2 Percentage exchange-rate changes

For an exchange rate changing from S0 to S1, the percentage change is:

\%\Delta S = ((S1 - S0) ÷ S0) × 100

The interpretation depends on the quotation. If S is domestic currency per foreign currency, an increase means the foreign currency has appreciated against the domestic currency. A foreign purchase therefore becomes more expensive in domestic-currency terms.

Worked Example 1: Currency exposure

A German importer must pay USD 200,000. The current rate is 0.92 EUR/USD, meaning one U.S. dollar costs €0.92. The euro cost is:

€\text{ cost} = 200,000 × 0.92 = €184,000

If the rate moves to 0.97 EUR/USD, the same payment costs:

200,000 × 0.97 = €194,000

The additional exposure is €10,000. The percentage increase is:

(194,000 - 184,000) ÷ 184,000 × 100 ≈ 5.43\%

The importer may respond through forward contracts, currency options, natural hedging, currency clauses in contracts, or operational changes. Hedging reduces uncertainty but may involve premiums, opportunity costs, counterparty risk, and imperfect matching between the hedge and the underlying exposure.

1.3 Transaction, translation, and economic exposure

  • Transaction exposure concerns contracted foreign-currency receipts or payments.
  • Translation exposure arises when foreign subsidiaries’ financial statements are converted into the parent company’s reporting currency.
  • Economic exposure concerns the longer-term effect of exchange rates on competitiveness, demand, sourcing, and cash flows.

A dashboard should distinguish these exposures. Combining them into one currency figure can conceal whether the organization faces a contractual payment, an accounting movement, or a strategic competitive threat.

2. Purchasing Power, Inflation, and International Pricing

2.1 Purchasing power parity

Purchasing power parity (PPP) proposes that exchange rates tend to reflect relative price levels over the long run. The absolute PPP relationship is:

SA/B = PA ÷ PB

where SA/B is currency A per unit of currency B, PA is the price of a comparable basket in currency A, and PB is its price in currency B. The basket must be sufficiently comparable, and transport costs, taxes, trade barriers, and non-traded services must be considered.

Relative PPP focuses on inflation differentials:

\%\Delta SA/B ≈ \piA - \piB

where \piA and \piB are inflation rates in countries A and B. This approximation assumes moderate inflation and a long-run tendency toward price adjustment. It is not a reliable short-term forecasting rule.

Worked Example 2: Relative inflation

If inflation is 8% in country A and 3% in country B, relative PPP suggests approximately:

\%\Delta SA/B ≈ 8\% - 3\% = 5\%

The currency quotation may change by approximately 5%, but the direction depends on how the rate is quoted. Actual movements can differ because of interest rates, capital flows, productivity, political risk, speculation, and central-bank policy.

2.2 Pricing across markets

International pricing should distinguish:

  • Cost-plus pricing: price equals unit cost plus a markup.
  • Market-based pricing: price reflects willingness to pay, competition, and positioning.
  • Value-based pricing: price reflects customer-perceived benefits.
  • Transfer pricing: an internal price used for transactions between related entities.

A simple export price model is:

Pcustomer = Pfactory + F + I + T + D + M

where F is freight, I is insurance, T is tariff or import duty, D is domestic distribution cost, and M is intermediary margin. Each component must be defined consistently. For example, a tariff may be calculated on customs value rather than on the final retail price.

3. Tariffs, Taxes, and Landed Cost

3.1 Landed-cost analysis

Landed cost is the economically relevant cost of making a product available at the destination. A simplified model is:

LC = C + F + I + Dt + B + W + H

where:

  • LC = landed cost;
  • C = supplier or transfer price;
  • F = freight;
  • I = insurance;
  • Dt = import duty;
  • B = brokerage and customs fees;
  • W = warehousing and handling;
  • H = other directly attributable costs.

If duty is ad valorem, the duty is:

Dt = rt × Vc

where rt is the tariff rate and Vc is the customs value. The customs value may be based on transaction value, adjusted transaction value, or another legally prescribed method. Analysts must therefore use the relevant customs rules rather than automatically applying the tariff rate to every cost.

Recoverable value-added tax is normally treated differently from a permanent cost. If VAT is recoverable, it affects cash flow and working capital but may not be included in product cost. Non-recoverable taxes are economic costs.

Worked Example 3: Landed cost and margin

A company buys 1,000 units at $40 each. Freight is $3,000, insurance is $500, and customs value is $43,500. The tariff rate is 8%, brokerage is $1,000, and destination handling is $1,500.

Product cost is:

1,000 × $40 = $40,000

Duty is:

0.08 × $43,500 = $3,480

Total landed cost is:

LC = 40,000 + 3,000 + 500 + 3,480 + 1,000 + 1,500 = $49,480

Landed cost per unit is:

$49,480 ÷ 1,000 = $49.48

If the selling price is $70 per unit and variable selling cost is $6 per unit, contribution per unit is:

$70 - $49.48 - $6 = $14.52

Total contribution is $14,520 before fixed costs, financing costs, and income tax. This calculation supports sourcing and pricing decisions better than comparing the $40 supplier price with the $70 selling price.

3.2 Corporate taxation and effective tax rates

A simplified after-tax operating profit is:

NOPAT = EBIT × (1 - t)

where EBIT is earnings before interest and tax, t is the applicable tax rate, and NOPAT is net operating profit after tax. This formula assumes that EBIT is taxable, the tax rate is applicable, and there are no material tax credits, loss carryforwards, special regimes, or timing differences.

The effective tax rate is:

ETR = \text{Income tax expense} ÷ \text{Pre-tax accounting income}

The effective rate may differ from the statutory rate because of incentives, permanent differences, withholding taxes, deferred taxes, and geographic profit allocation.

4. Transfer Pricing and Performance Measurement

Transfer pricing concerns the pricing of transactions between related entities, such as a parent company and its foreign subsidiary. It affects tax allocation, customs values, managerial incentives, and reported segment performance. It must comply with applicable law and the arm’s-length principle, which generally seeks a price comparable to that agreed between independent parties under similar conditions.

Common methods include:

MethodMain logicTypical use
Comparable uncontrolled priceCompare with an independent transactionStandardized goods or services
Resale price methodStart with resale price and subtract an appropriate marginDistributors
Cost-plus methodAdd an arm’s-length markup to relevant costsRoutine manufacturers or service providers
Transactional net margin methodCompare net profit indicators with comparable firmsLimited direct price comparables
Profit-split methodAllocate combined profit according to contributionsHighly integrated or unique operations

For internal management, a transfer price can influence whether a subsidiary appears efficient. A performance dashboard should therefore show both local results and consolidated results. Local managers should not be rewarded for maximizing reported subsidiary profit if doing so damages total company profit, creates tax exposure, or encourages inefficient sourcing.

A sound governance process documents the functional analysis, assets used, risks assumed, comparables, assumptions, approvals, and changes in operating conditions. Artificially shifting profit without commercial substance creates legal, reputational, and ethical risks.

5. Country Risk and Investment Analytics

5.1 Categories of country risk

Country risk includes:

  • political instability and expropriation;
  • legal and regulatory change;
  • capital controls and convertibility restrictions;
  • sovereign default and banking-system weakness;
  • corruption and weak contract enforcement;
  • sanctions and geopolitical conflict;
  • infrastructure and energy reliability;
  • social, environmental, and labor risks.

Risk analysis should not reduce a country to a single score. A composite score can hide important trade-offs. A country may have strong market growth but weak currency convertibility, or excellent infrastructure but high regulatory uncertainty.

5.2 Net present value and risk scenarios

The net present value of an investment is:

NPV = -I0 + ∑t=1n CFt ÷ (1 + r)t

where I0 is initial investment, CFt is cash flow in period t, r is the discount rate, and n is the number of periods. Cash flows and the discount rate must be in the same currency and expressed on a consistent nominal or real basis.

Expected value under discrete scenarios is:

E(NPV) = ∑j=1m pj × NPVj

where pj is the probability of scenario j, NPVj is its NPV, and probabilities sum to 1. Expected value does not describe the full risk distribution; decision-makers should also examine downside outcomes, variance, value at risk, and non-financial constraints.

Worked Example 4: Market-entry scenarios

A proposed foreign facility requires $1,000,000 today. Its estimated one-year cash flows are $1,400,000 in a favorable scenario with probability 0.4, $1,100,000 in a base scenario with probability 0.4, and $700,000 in an adverse scenario with probability 0.2. Using a 10% discount rate:

Favorable NPV:

-1,000,000 + 1,400,000 ÷ 1.10 = $272,727

Base NPV:

-1,000,000 + 1,100,000 ÷ 1.10 = $0

Adverse NPV:

-1,000,000 + 700,000 ÷ 1.10 ≈ -$363,636

Expected NPV is:

0.4(272,727) + 0.4(0) + 0.2(-363,636) ≈ $36,364

The positive expected NPV does not automatically justify investment. Management should ask whether a possible loss of approximately $364,000 is acceptable, whether probabilities are credible, and whether staged investment or an option to abandon the project would improve the decision.

6. Global Sourcing and Supply-Chain Analytics

Global sourcing decisions compare more than purchase price. Relevant factors include quality, lead time, minimum order quantity, supplier reliability, inventory, transport, tariffs, exchange-rate exposure, carbon emissions, labor standards, and disruption probability.

A practical total-cost-of-ownership model is:

TCO = P + L + Q + Ic + Rc + Ce

where P is purchase cost, L is logistics cost, Q is quality-related cost, Ic is inventory carrying cost, Rc is expected disruption or risk cost, and Ce is compliance and environmental cost. These categories must be defined to avoid double counting.

Inventory carrying cost can be approximated as:

Cinventory = \text{Average inventory value} × h

where h is the annual carrying-rate percentage. The carrying rate may include financing, insurance, storage, obsolescence, and handling. If average inventory is $500,000 and h = 18\%, annual carrying cost is $90,000.

The reorder point under stable demand is:

ROP = d × L + SS

where d is average demand per time unit, L is lead time in the same time unit, and SS is safety stock. This simple formula assumes that demand and lead time are measured consistently. More advanced models calculate safety stock from demand variability, lead-time variability, and a selected service level.

Supplier performance KPIs include on-time-in-full delivery, defect rate, lead-time variability, cost variance, order-cycle time, and concentration risk. A single low-cost supplier may be financially attractive but strategically dangerous if disruption would stop production.

7. Logistics, Market Entry, and Commercial Analytics

Market-entry choices include exporting, licensing, franchising, contractual manufacturing, strategic alliances, joint ventures, acquisitions, and wholly owned subsidiaries. The appropriate choice depends on control, capital requirements, speed, intellectual-property protection, local knowledge, regulatory restrictions, and risk tolerance.

A market dashboard should integrate:

DimensionIllustrative measures
DemandMarket growth, forecast accuracy, conversion rate
ProfitabilityGross margin, contribution margin, NPV, return on invested capital
CustomersRetention, acquisition cost, satisfaction, complaints
OperationsLead time, fill rate, inventory turns, defect rate
FinanceCurrency exposure, cash conversion cycle, receivables aging
RiskCountry score, supplier concentration, sanctions alerts, disruption frequency
ResponsibilityEmissions, labor audits, safety incidents, data breaches

Inventory turnover is commonly calculated as:

Inventory\ turnover = Cost\ of\ goods\ sold ÷ Average\ inventory

The numerator and denominator should use compatible valuation bases. A high turnover may indicate efficiency, but it may also indicate understocking and lost sales. KPIs must therefore be interpreted together rather than optimized independently.

The cash conversion cycle is:

CCC = DIO + DSO - DPO

where DIO is days inventory outstanding, DSO is days sales outstanding, and DPO is days payable outstanding. The measures should use consistent day conventions and accounting data. A lower CCC usually releases working capital, but excessively aggressive payment practices can damage supplier relationships.

8. Integrated Illustrative Case: NorthStar Appliances

Background

NorthStar Appliances, a fictional mid-sized manufacturer, sells smart kitchen equipment in Country A and is considering sourcing components from Country B. The component supplier quotes €32 per unit. Annual demand is 50,000 units. Freight and insurance total €4 per unit. The tariff is 7% of customs value, assumed for this illustration to be the purchase price plus freight and insurance. Destination handling is €1.50 per unit. The expected selling price is €70 per unit, and variable local selling cost is €8 per unit.

Problem

Management must decide whether to source from Country B, assess currency exposure, and determine whether the market-entry plan should proceed.

Analysis

The customs value per unit is:

€32 + €4 = €36

The tariff per unit is:

0.07 × €36 = €2.52

Landed cost before local selling expense is:

€32 + €4 + €2.52 + €1.50 = €40.02

Contribution per unit in euros, assuming the selling price and selling cost have already been converted consistently, is:

€70 - €40.02 - €8 = €21.98

Annual contribution is:

50,000 × €21.98 = €1,099,000

However, the supplier invoice is in euros while revenue is in Country A’s currency. If the euro appreciates by 6%, the euro-denominated component and associated landed cost increase. The company should calculate the sensitivity of contribution to exchange rates rather than rely on the base case.

Suppose NorthStar can sign a one-year forward contract that fixes the exchange rate but requires a bank fee of €0.40 per unit. The hedge reduces uncertainty but raises the known cost. Management should compare the guaranteed margin with the distribution of unhedged margins and consider whether the hedge volume matches expected purchases.

Approach and solution

NorthStar creates a dashboard with the following decision gates:

  1. Commercial gate: expected contribution remains above the minimum required margin.
  2. Currency gate: unhedged downside under specified exchange-rate scenarios remains within risk tolerance, or an approved hedge is available.
  3. Supply gate: supplier on-time delivery exceeds the target and dual sourcing is feasible.
  4. Compliance gate: customs classification, origin documentation, product safety, privacy, and labor requirements are verified.
  5. Investment gate: market-entry NPV remains positive under base and adverse scenarios.

Outcome

The analysis does not produce an automatic “yes.” It provides conditions for approval: use a partial currency hedge, qualify a second supplier, include tariff-change clauses in contracts, and review the business case quarterly. This is a stronger decision than selecting the supplier solely because its quoted purchase price is lower.

Learning points

  1. Purchase price is not the same as economic cost.
  2. Currency risk should be connected to specific transaction exposures.
  3. A positive expected value can coexist with unacceptable downside risk.
  4. Operational, tax, compliance, and ethical data belong in the decision model.
  5. Dashboards should support decisions and accountability, not merely display numbers.

9. Technology, AI, and Data Governance

International analytics increasingly uses enterprise-resource-planning systems, application programming interfaces, cloud dashboards, predictive models, and machine learning. These tools can detect unusual freight costs, forecast demand, identify supplier delays, and simulate exchange-rate scenarios.

AI does not remove the need for managerial judgment. Forecasts may be distorted by incomplete data, structural breaks, sanctions, wars, sudden tariff changes, or supplier reporting bias. Responsible practice requires:

  • documented data sources and definitions;
  • version-controlled models;
  • validation against historical and out-of-sample data;
  • human review of high-impact decisions;
  • explainable assumptions and sensitivity analysis;
  • access controls and protection of commercially sensitive data;
  • monitoring for bias and model drift.

A dashboard should distinguish actual, forecast, target, and scenario values. Color coding is useful only when definitions are clear. Every KPI requires an owner, reporting frequency, threshold, action, and escalation route.

10. Limitations, Ethics, and Best Practices

International models are uncertain because data are incomplete and conditions change. PPP may fail in the short run. Country scores may embed political assumptions. Expected values depend on subjective probabilities. Transfer-pricing comparables may be imperfect. Landed-cost calculations may omit delays, quality failures, or compliance costs. Correlation between indicators does not establish causation.

Ethical and regulatory responsibilities include accurate customs declarations, lawful tax planning, respect for labor and human rights, anti-bribery compliance, sanctions screening, privacy protection, and truthful sustainability reporting. Managers should not manipulate transfer prices, supplier classifications, or performance metrics to create misleading results.

Best practices include:

  1. Define currencies, units, dates, and valuation bases explicitly.
  2. Reconcile analytics with accounting and operational records.
  3. Separate nominal from real values and pre-tax from after-tax cash flows.
  4. Use sensitivity, scenario, and stress testing.
  5. Include both financial and non-financial KPIs.
  6. Assign responsibility for each metric.
  7. Review assumptions after material political, regulatory, or market changes.
  8. Protect data quality, privacy, and model integrity.
  9. Combine quantitative evidence with local managerial knowledge.
  10. Document decisions so that results can be audited and learned from.

Chapter Summary

International business analytics integrates exchange rates, purchasing power, tariffs, taxation, transfer pricing, country risk, sourcing, logistics, and market-entry information. Exchange-rate calculations require careful attention to quotation direction and unit consistency. PPP offers a long-run analytical reference but is not a precise short-run forecasting tool.

Landed cost is more informative than supplier price because it includes freight, insurance, duties, handling, and other attributable costs. Tax analysis must distinguish statutory and effective rates, recoverable and non-recoverable taxes, and accounting from cash effects. Transfer pricing affects tax, customs, managerial incentives, and reported performance and must be governed by law and commercial substance.

Investment analysis uses NPV, expected values, scenarios, and downside evaluation. Global sourcing should be assessed through total cost of ownership, including inventory, quality, disruption, compliance, and environmental costs. Dashboards are effective when KPIs have clear definitions, owners, targets, thresholds, and actions. Ethical governance, data quality, model validation, and human judgment remain essential, especially when AI and predictive analytics are used.

Key Terms

Exchange rate: The value of one currency expressed in another currency.

Currency exposure: The sensitivity of cash flows or value to exchange-rate movements.

Purchasing power parity: The theory that exchange rates tend to reflect relative price levels over time.

Landed cost: The total cost of obtaining and making a product available at its destination.

Ad valorem tariff: A duty calculated as a percentage of customs value.

Customs value: The legally determined value used to calculate import duties.

Recoverable tax: A tax that can be reclaimed or credited and is not normally a permanent product cost.

Transfer pricing: Prices charged in transactions between related entities.

Arm’s-length principle: The requirement that related-party terms approximate those between independent parties.

Country risk: The possibility that national political, economic, legal, or social conditions harm business outcomes.

Net present value: The present value of future cash flows less the initial investment.

Scenario analysis: Evaluation of outcomes under alternative assumptions or states of the world.

Total cost of ownership: The full economic cost of acquiring, operating, and managing a source or asset.

Safety stock: Inventory held to protect against demand or supply uncertainty.

Reorder point: The inventory level at which replenishment should be initiated.

Contribution margin: Sales revenue minus variable costs.

Cash conversion cycle: The time between cash paid to suppliers and cash collected from customers.

Key performance indicator: A defined measure used to monitor progress toward an objective.

Model risk: The possibility that a model produces misleading results because of incorrect assumptions, data, or design.

Review Questions

Short Answer Questions

  1. What is the difference between a direct and reciprocal exchange-rate quotation?
  2. Why is landed cost more useful than supplier price for sourcing decisions?
  3. State one limitation of purchasing power parity.
  4. What is the purpose of the arm’s-length principle in transfer pricing?
  5. Name three categories of country risk.

Long Answer Questions

  1. Explain transaction, translation, and economic exposure and give an example of each.
  2. Discuss how tariffs, taxes, logistics, and exchange rates influence international pricing.
  3. Explain the NPV framework and why expected NPV alone may be insufficient for a foreign investment decision.
  4. Compare cost-plus, market-based, and value-based pricing in international markets.
  5. Discuss the governance requirements for an international business analytics dashboard.

Analytical / Application Questions

  1. A company imports 2,000 units at $25 each. Freight is $2,400, insurance is $600, customs value is $53,000, tariff is 6%, brokerage is $800, and handling is $1,200. Calculate total landed cost and landed cost per unit.
  2. An investment requires $500,000 and produces a one-year cash flow of $650,000 in a favorable case with probability 0.3, $560,000 in a base case with probability 0.5, and $400,000 in an adverse case with probability 0.2. Using a 10% discount rate, calculate each scenario NPV and expected NPV. Explain one limitation of the result.
  3. Design a dashboard for a global sourcing decision. Select six KPIs, define each KPI, identify its data source, and specify an action triggered by an unfavorable result.

Multiple Choice Questions with Answers

Question 1

A quotation of 1.20 USD/EUR means that:

A. One U.S. dollar costs 1.20 euros

B. One euro costs 1.20 U.S. dollars

C. One euro costs 0.20 U.S. dollars

D. The euro and dollar have equal value

Correct Answer: B. One euro costs 1.20 U.S. dollars

Question 2

A company buys 1,000 units at $40 each. Freight is $3,000, insurance is $500, duty is $3,480, brokerage is $1,000, and handling is $1,500. What is landed cost per unit?

A. $40.00

B. $46.52

C. $49.48

D. $53.48

Correct Answer: C. $49.48

Question 3

Under relative purchasing power parity, if country A has 8% inflation and country B has 3% inflation, the approximate inflation differential is:

A. −5%

B. 3%

C. 5%

D. 11%

Correct Answer: C. 5%

Question 4

Which exposure concerns a contracted foreign-currency payment?

A. Transaction exposure

B. Translation exposure

C. Economic exposure only

D. Reputational exposure

Correct Answer: A. Transaction exposure

Question 5

Which transfer-pricing method begins with the reseller’s price and subtracts an appropriate margin?

A. Cost-plus method

B. Resale price method

C. Profit-split method

D. Comparable uncontrolled cost method

Correct Answer: B. Resale price method

Question 6

If an investment requires $1,000,000 and produces $1,100,000 after one year at a 10% discount rate, its NPV is:

A. −$100,000

B. $0

C. $100,000

D. $1,000,000

Correct Answer: B. $0

Question 7

Which item is normally included in total cost of ownership but may be omitted from a supplier’s quoted price?

A. Supplier’s logo

B. Inventory carrying cost

C. Historical exchange rate only

D. Unrelated advertising expense

Correct Answer: B. Inventory carrying cost

Question 8

The reorder-point formula ROP = d × L + SS includes safety stock primarily to:

A. Eliminate all inventory

B. Protect against demand or lead-time uncertainty

C. Calculate income tax

D. Measure currency appreciation

Correct Answer: B. Protect against demand or lead-time uncertainty

Question 9

A dashboard KPI is most useful when it has:

A. No defined owner

B. A clear definition, target, and action threshold

C. Only financial data

D. A changing definition each month

Correct Answer: B. A clear definition, target, and action threshold

Question 10

Why should expected NPV be supplemented by scenario analysis?

A. Expected NPV always ignores the initial investment

B. Scenario analysis reveals the distribution and downside of possible outcomes

C. Scenario analysis guarantees the forecast is correct

D. Expected NPV cannot use probabilities

Correct Answer: B. Scenario analysis reveals the distribution and downside of possible outcomes

Business Mathematics & Analytics
Chapter 14 of 15