Marketing Analysis: Elasticity (Copy)

8.1.1 Elasticity

Concept Of Elasticity Of Demand: Price, Income And Promotional

• Meaning Of Elasticity Of Demand
  • Measures the responsiveness of quantity demanded to a change in an influencing factor.
  • Focus in business: responsiveness to price (Price Elasticity of Demand, PED), income (Income Elasticity of Demand, YED), and promotional/advertising spend (Promotional or Advertising Elasticity of Demand, PrED/AED).
  • Ceteris paribus assumption: when measuring one elasticity, all other determinants of demand are held constant (product features, competitors’ prices, distribution, macro shocks).
• Price Elasticity Of Demand (PED)
  • Concept:
    • PED shows the percentage change in quantity demanded resulting from a 1% change in price.
    • Direction: usually negative due to the inverse price–demand relationship; businesses often discuss absolute value |PED|.
  • Typical categories (using absolute value |PED|):
    • Perfectly inelastic: |PED| = 0 (quantity does not respond to price at all).
    • Inelastic: 0 < |PED| < 1 (quantity responds proportionately less).
    • Unit elastic: |PED| = 1 (proportionate response).
    • Elastic: |PED| > 1 (quantity responds more than proportionately).
    • Perfectly elastic: |PED| → ∞ (tiny price change eliminates demand).
• Income Elasticity Of Demand (YED)
  • Concept:
    • YED shows the percentage change in quantity demanded from a 1% change in consumer income.
    • Sign conveys type of good:
      • Normal goods: YED > 0 (demand rises with income).
      • Inferior goods: YED < 0 (demand falls as income rises).
    • Magnitude conveys necessity vs luxury (for normal goods):
      • Necessity: 0 < YED < 1 (less than proportionate).
      • Luxury: YED > 1 (more than proportionate).
• Promotional/Advertising Elasticity Of Demand (PrED/AED)
  • Concept:
    • Measures the percentage change in quantity demanded from a 1% change in promotional/advertising expenditure.
    • Usually positive but exhibits diminishing marginal returns and often lagged effects (adstock).
    • Sensitive to message quality, creative, reach, frequency, targeting, seasonality, and competitor activity.
• Strategic Relevance Across The Mix
  • PED → pricing, discounting, revenue management.
  • YED → portfolio planning across the business cycle, segmentation by income, geographic targeting.
  • PrED → marketing budget allocation, channel mix, campaign evaluation, ROI.

Calculation Of Price, Income And Promotional Elasticities Of Demand

• Foundational Percentage-Change Method
  • General form for elasticity of X with respect to Y:
    • Elasticity = % ΔX% ΔYfrac{% Delta X}{% Delta Y}
  • Percentage change:
    • % ΔV=V2−V1V1×100%Delta V = frac{V₂ – V₁}{V₁} times 100%, where V1V₁ = initial value, V2V₂ = new value.
• Midpoint (Arc) Formula (Recommended To Avoid Base Effects)
  • % ΔV=V2−V1V1+V22×100%% Delta V = frac{V₂ – V₁}{frac{V₁ + V₂}{2}} times 100%
  • Use the midpoint of quantity and price/income/promo spend to ensure symmetry.
• Price Elasticity Of Demand (PED)
  • Formula (using percentage form):
    • PED=% ΔQd% ΔPPED = frac{% Delta Q_d}{% Delta P}
  • Worked Example (midpoint):
    • Price increases from ₨100 to ₨110; quantity falls from 1 000 to 880 units.
    • % ΔQd=880−1000(1000+880)/2×100%=−120940×100%≈−12.77%% Delta Q_d = frac{880 – 1 000}{(1 000 + 880)/2} times 100% = frac{-120}{940} times 100% approx -12.77%
    • % ΔP=110−100(100+110)/2×100%=10105×100%≈9.52%% Delta P = frac{110 – 100}{(100 + 110)/2} times 100% = frac{10}{105} times 100% approx 9.52%
    • PED≈−12.77%9.52%≈−1.34PED approx frac{-12.77%}{9.52%} approx -1.34 ⇒ |PED| = 1.34 (elastic).
• Income Elasticity Of Demand (YED)
  • Formula:
    • YED=% ΔQd% ΔYYED = frac{% Delta Q_d}{% Delta Y}, where YY = consumer income.
  • Worked Example:
    • Income rises from ₨50 000 to ₨55 000; quantity for a premium coffee brand rises from 500 to 600 cups/day.
    • % ΔQd=600−500(500+600)/2×100%=100550×100%≈18.18%% Delta Q_d = frac{600 – 500}{(500 + 600)/2} times 100% = frac{100}{550} times 100% approx 18.18%
    • % ΔY=55000−50000(50000+55000)/2×100%=500052500×100%≈9.52%% Delta Y = frac{55 000 – 50 000}{(50 000 + 55 000)/2} times 100% = frac{5 000}{52 500} times 100% approx 9.52%
    • YED≈18.18%9.52%≈1.91YED approx frac{18.18%}{9.52%} approx 1.91 ⇒ Luxury normal good.
• Promotional/Advertising Elasticity (PrED/AED)
  • Formula:
    • PrED=% ΔQd% ΔAPrED = frac{% Delta Q_d}{% Delta A}, where AA = advertising/promotional spend.
  • Worked Example:
    • Ad spend increases from ₨200 000 to ₨240 000; weekly sales increase from 2 000 to 2 160 units.
    • % ΔQd=2160−2000(2000+2160)/2×100%=1602080×100%≈7.69%% Delta Q_d = frac{2 160 – 2 000}{(2 000 + 2 160)/2} times 100% = frac{160}{2 080} times 100% approx 7.69%
    • % ΔA=240000−200000(200000+240000)/2×100%=40000220000×100%≈18.18%% Delta A = frac{240 000 – 200 000}{(200 000 + 240 000)/2} times 100% = frac{40 000}{220 000} times 100% approx 18.18%
    • PrED≈7.69%18.18%≈0.42PrED approx frac{7.69%}{18.18%} approx 0.42 ⇒ Inelastic response to ads (possible saturation/creative or channel issues).
• Unit Conversion And Care
  • Always ensure consistent units (e.g., monthly to monthly).
  • For promotions, separate price promotions (affecting PED) from advertising (PrED) to avoid confounding.
  • Use segment-level data where possible; aggregate averages can hide high-ROI niches.

Interpretation Of Elasticity Results

• PED Interpretation
  • Elastic demand (|PED| > 1):
    • Price ↑ ⇒ total revenue ↓; Price ↓ ⇒ total revenue ↑ (assuming ceteris paribus).
    • Common for products with many substitutes, discretionary purchases, high price share of wallet, long run.
  • Inelastic demand (0 < |PED| < 1):
    • Price ↑ ⇒ total revenue ↑; Price ↓ ⇒ total revenue ↓.
    • Typical for necessities, strong brand loyalty, few substitutes, short run, habitual purchases.
  • Unit elastic (|PED| = 1):
    • Price changes do not alter total revenue (proportionate change).
  • Graphical intuition (schematic):
    • Steep curve ⇒ inelastic; flatter curve ⇒ elastic (at a point). Elasticity can vary along a linear demand curve.
• YED Interpretation
  • YED > 1 (luxury): Demand grows faster than income; sensitive to cycles; high growth in booms, sharp declines in recessions.
  • 0 < YED < 1 (necessity): Demand rises with income but slowly; relatively stable.
  • YED < 0 (inferior): Demand falls as income rises (e.g., economy instant noodles vs premium meals).
• PrED Interpretation
  • PrED > 1: Promotional spend is highly effective; consider increasing budget until marginal ROI falls to acceptable threshold.
  • 0 < PrED < 1: Weak response; audit creative, targeting, channel mix, frequency capping, and timing; consider reallocating to price, product, or placement.
  • Lagged/Carryover effects:
    • Campaigns may build equity; measure short-run vs long-run PrED (adstock models).
  • Diminishing returns:
    • At high spend, each extra ₨ yields smaller volume gains; optimize to the point where marginal revenue = marginal cost of ads.
• Elasticity As Local, Not Universal
  • Elasticities are point- or arc-specific; they vary by price tier, season, segment, channel, region, and time horizon (short vs long run).
  • Demand often becomes more elastic in the long run as consumers find substitutes/adapt behavior.

Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Business Full Scale Course

Impact Of Elasticity Measures On Business Decisions

• Pricing Strategy
  • If |PED| > 1 (elastic), prefer price cuts for volume and revenue growth (assuming sufficient capacity and margins).
  • If |PED| < 1 (inelastic), price increases can raise revenue; watch for regulatory/ethical constraints and long-run brand effects.
  • Use price discrimination where legal (student/senior pricing, time-based, versioning) to capture consumer surplus when segments differ in elasticity.
  • Peak-load pricing for capacity-limited services (airlines, ride-hailing, utilities): higher prices at peak where demand is less elastic.
  • Bundle and version products (good–better–best) to self-select customers by elasticity (premium buyers less price sensitive).
• Revenue Management And Forecasting
  • Integrate PED in revenue forecasts when testing price moves; simulate best-, base-, worst-case scenarios.
  • Use A/B pricing tests (within legal bounds) in online channels to estimate real-world elasticities.
• Product Portfolio Decisions
  • Combine YED with cycle outlook:
    • In downturns, shift emphasis to necessities/inferiors (private labels, value packs).
    • In booms, expand luxury/high-YED lines and premium features.
  • Launch counter-cyclical offerings to hedge (e.g., economy brand alongside premium).
• Promotional Budget Allocation
  • Allocate spend to brands/regions with higher PrED subject to diminishing returns; optimize using marginal ROI.
  • Balance brand-building (long-run PrED) vs activation/sales promotion (short-run spikes; more price-elastic responses).
  • Coordinate price promotions carefully:
    • They alter PED and may train consumers to wait for discounts; risk of long-term elasticity increase (more price sensitivity).
• Capacity And Supply Chain
  • When a planned price cut (elastic demand) or big campaign (high PrED) is expected to lift volume, ensure capacity, inventory, and logistics can fulfill demand; stockouts destroy ROI and distort measured elasticity.
• Market Entry And Segmentation
  • Use elasticity maps: regions or segments with inelastic PED and high YED are attractive for premium entries; elastic PED suits low-cost strategies.
  • Tailor channel strategy: online shoppers may display higher price transparency ⇒ higher |PED|; experiential retail can reduce |PED| via value-added services.
• Risk Management
  • For volatile input costs, inelastic demand provides pricing power; elastic demand requires hedging and cost control instead of price pass-through.
  • Scenario plan for income shocks (recessions, inflation) using YED to reforecast volumes and reset budgets.

Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Business Full Scale Course

Determinants Of Elasticities (For Diagnosis And Action)

• Determinants Of PED
  • Availability of substitutes (more substitutes ⇒ more elastic).
  • Proportion of income spent on the good (higher share ⇒ more elastic).
  • Habit and brand loyalty (strong habit/loyalty ⇒ more inelastic).
  • Necessity vs luxury (necessities ⇒ inelastic; luxuries ⇒ elastic).
  • Time (longer time ⇒ more elastic).
  • Definition of market (narrowly defined category ⇒ more elastic).
  • Price transparency (comparison sites increase elasticity).
  • Complementarity (if complements’ prices rise, effective elasticity of the bundle changes).
• Determinants Of YED
  • Income level and distribution in target segment.
  • Stage in product life cycle (new tech may be luxury early).
  • Cultural preferences (luxury perceptions differ by market).
  • Availability of superior substitutes as income rises.
• Determinants Of PrED
  • Creative quality and message–market fit.
  • Media mix (TV/OTT/digital/social/OOH/radio) and reach–frequency.
  • Targeting accuracy (waste reduces PrED).
  • Ad wear-out and clutter environment.
  • Competitive noise and timing (seasonality, events).
  • Owned/earned media support (PR, influencers can amplify PrED).

Extended Worked Applications

• Revenue Change Using PED
  • If current price = ₨500, quantity = 10 000, planned price cut = 5%, estimated |PED| = 1.6.
  • Expected % ΔQd≈1.6×5%=8%Delta Q_d approx 1.6 times 5% = 8% increase ⇒ new Q ≈ 10 800.
  • New price = ₨475; Revenue before = ₨5 000 000; Revenue after = ₨475 × 10 800 = ₨5 130 000 ⇒ ₨130 000 gain (capacity permitting).
• Promotional Budget ROI Using PrED
  • Current ads = ₨10 m; PrED = 0.6; plan +20% spend.
  • % ΔQd≈0.6×20%=12%Delta Q_d approx 0.6 times 20% = 12%.
  • If base sales = 500 000 units, unit margin = ₨80:
    • Incremental units = 60 000; Incremental margin = ₨4.8 m.
    • Incremental ad cost = ₨2 m ⇒ Net margin +₨2.8 m (pre capacity & cannibalization).
  • Test for diminishing returns: smaller PrED at higher spend; re-estimate per step.
• Income Scenario Using YED
  • Base sales 100 000 units of premium service, YED = 1.4.
  • Anticipated income fall of 3% in target market:
    • % ΔQd=1.4×(−3%)=−4.2%Delta Q_d = 1.4 times (-3%) = -4.2% ⇒ plan defensive offers, pack-size changes, cross-trade to value range.

Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Business Full Scale Course

Limitations Of Elasticity Concepts (All Forms)

• Ceteris Paribus Rarely Holds
  • In reality, multiple variables move together: price, income, competitor actions, distribution, product features, promotions. Estimated elasticity may capture mixed effects (omitted variable bias).
• Data Quality And Measurement
  • Use of list prices vs net prices after discounts can misstate PED.
  • Aggregation bias: averages mask segment variation; elasticities differ by region/channel.
  • Time period mismatch: weekly ads with monthly sales or long purchase cycles (durables) cause lag; need models with adstock/lag structure.
• Endogeneity/Reverse Causality
  • Promotions are often targeted to weak weeks; naive regressions can understate PrED (appears that ads “follow” low sales).
  • Prices may be cut in slow seasons; naive PED looks inelastic; controlled experiments needed.
• Dynamic And Strategic Effects
  • Competitor reactions: a price cut may trigger a price war, altering true PED over time.
  • Learning and habit formation: frequent promotions can increase long-run price sensitivity (train customers to wait).
  • Stockpiling for FMCG blurs short-run responses (promos pull demand forward).
• Capacity And Supply Constraints
  • Even if demand is elastic, limited capacity caps realized volume; measured PED/PrED can look smaller than true consumer response.
• Non-Price Value Drivers
  • Branding, UX, ecosystem lock-in (switching costs), network effects can lower apparent PED without changing absolute consumer valuation.
• Special Cases
  • Veblen goods (status): higher prices can raise perceived value, locally positive PED.
  • Giffen goods (rare): price rises increase consumption due to strong income effect in very low-income settings.
  • Durables: replacement cycles and credit terms dominate short-run elasticity.
• Managerial Misuse
  • Treating a single elasticity as constant across all ranges.
  • Extrapolating short-run estimates to long-run strategy without validation.
  • Ignoring margin impact: revenue can rise while profit falls if cost-to-serve increases.
• Mitigations
  • Use midpoint/arc estimates; re-estimate by segment and season.
  • Run field experiments/A-B tests and market-mix models with proper controls.
  • Separate price promotions from advertising to estimate PED vs PrED distinctly.
  • Triangulate with survey-based willingness-to-pay and conjoint analysis.

Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Business Full Scale Course

Quick Reference: Summary Tables

• Elasticity Signs And Ranges
  • PED: typically negative; use absolute value for magnitude decisions.
  • YED: positive (normal), negative (inferior); >1 luxury, 0–1 necessity.
  • PrED: typically positive, often <1 in mature categories; can exceed 1 in launches or highly targeted campaigns.
• Managerial Heuristics
  • If |PED| > 1 and spare capacity exists ⇒ consider price cuts with comms support.
  • If |PED| < 1 and brand strength high ⇒ consider selective increases + value cues.
  • If PrED high in channel X ⇒ shift budget toward X until marginal ROI equalizes.
  • If YED high and macro outlook weak ⇒ defend value range; introduce economy SKUs.
• Common Pitfalls
  • Using list prices instead of realized transaction prices.
  • Ignoring competitor and retailer responses.
  • Failing to measure long-run effects of brand advertising.
  • Treating promotional spikes as sustained demand shifts.

Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change A2 Level Business Full Scale Course