Road Map for Prices and Markets: Pricing under Different Market Structures Monopoly Pricing • Pricing by a monopolist (e.g., Microsoft) • Some pricing fallacies • Not all gains from trade realized or extracted Price Discrimination • More exotic pricing strategies • Explicit market segmentation • Implicit market segmentation Competitive Markets (“Commodity Markets”) What we did so far: Pricing with Market Power What we’re starting today: The polar opposite • Pricing under competition (commodity markets) • Short run and long run decisions • Strategies to survive in a competitive market This Session Implicit Price Discrimination (continued) 1. Implicit Price Discrimination 2. Airline pricing 3. Bundling Next Session Perfect Competition Bundling • Selling several goods in one bundle ! Hardware and software ! Software suites ! Sports/Concert tickets ! Auto accessories Exercise 6.6: Screening via Bundling Pricing of the polo shirt and the dinner party at the Lebanese week. Highly segmented, with only three types of customers: Valuation Type of Customer Polo Shirt Dinner A $50 $5 B $40 $40 C $5 $50 A customer may buy either the polo shirt or the dinner. – Benchmark: Perfect Price Discrimination – – No Bundling – – Pure Bundling – – Mixed Bundling – The Genius of Dell?? What is this? Buy One Get One Free (BOGO) " Shoppers don't understand why retailers offer this kind of promotion when it's no better for customers and no more profitable for stores than a half-price sale…. - Washington Post consumer columnist Margaret Webb Pressler Hmmm…it is more profitable than a half-price sale!! Pizza: Valuation for 1st: $15.01; Valuation for 2nd: $5.01; MC = $2 BOGO at $20 Profit = 20 – 4 = 16 2 Pizzas for $10 each Profit = 10 – 2 = 8 This Session Implicit Price Discrimination 1. Implicit Price Discrimination 2. Airline pricing 3. Bundling Next Session Perfect Competition Bottom Line Marketing guru says: the right product for the right customer at the right price, Economist sage says: segment, differentiate, then segment some more!! 1. Find products where you can effectively prevent high-end consumers from buying the low-end product 2. If you can t, implicitly segment the market – design a product line through bundling, differentiation, versioning, inter-temporal pricing, damaging that achieves price discrimination Do not ignore the composition of your market! Prices and Markets Session 9 Perfect Competition Prof. Amine Ouazad Alusaf s $2 billion question 1994: Alusaf wants to build a primary aluminum smelter " Capacity: 466 ktpy " Located at Richard s bay, on the east coast of South Africa " Major bet: Capital expenditure close to 60% of Gencor s net worth!! Feasibility study for this Hillside smelter was performed two years earlier " But aluminum prices plummeted to around $1,110 per ton ….as a result of the flow of Russian and other former eastern block countries Given that aluminum prices are at historic lows would you recommend dropping the Alusaf project? This Session: Competitive Supply and Market Price 1. Alusaf’s $2 billion question 2. Perfect Competition 3. Primary Aluminum Market’s Supply 4. Demand Shocks Next Session Short-Run Costs and Prices Perfect Competition • Homogeneous product that is traded in a well-functioning transparent marketplace bringing together lots of buyers and sellers easily ⇒ product sold at common “market price” determined by market-clearing condition: quantity supplied = quantity demanded • Large number of small firms — no single producer can materially affect market price (at least when industry was on flat portion of supply curve) ⇒ firms act as price takers • Fragmented demand — no single buyer has significant “bargaining power” to affect the price • Industries with these characteristics are close to the conditions of Perfect Competition. Examples include: • mining, such as copper • primary metal fabrication, such as aluminum • agricultural commodities • certain types of commodity semi-conductors Modeling Supply Decisions in Competitive Markets $ Firm $ Industry s (P) mc (q) P = MR d (P) q q* Marginal conditions for optimal output (MR = MC): mc (q) = P → Supply curve s (P) is simply (inverse of) the marginal cost curve. Q An Exercise • There are 10 firms on a perfectly competitive market. Firms have the same cost structure. • c(Q) = 100 + 10Q + Q2 • mc(Q) = • ac(Q) = • Construct the supply curve of each firm, and the supply curve of the market. • A firm’s supply curve • The market’s supply curve si(P) = s(P) = • Shut down production if P < 80 70 60 50 mc(Q) 40 ac(Q) avc(Q) 30 20 10 0 0 5 10 15 20 25 30 35 The Aggregate Supply Curve $ 15 14 s 13 A (P) s 12 B (P) s(P) = s 11 A (P)+ s B (P) 10 9 8 P* 7 6 5 4 3 d (P) 2 1 0 0 2 4 6 8 10 12 Q* 14 16 18 Output Q Elasticity of Market Supply – Measuring responsiveness of supply to changes in price – % change in Q s Es = % change in P Point Elasticity Es = dQ P dP Q 20 This Session: Competitive Supply and Market Price 1. Alusaf’s $2 billion question 2. Perfect Competition 3. Primary Aluminum Market’s Supply 4. Demand Shocks Next Session Short-Run Costs and Prices Alusaf’s Hillside Project Seems like a simple business… " Competitive Market – identical product; no tech. differences; pricetakers " No room for fancy marketing strategies; nimble operational improvements " Profitability boils down to a simple equation price – average cost That cannot be that hard? " Need to understand: • What determines prices? • Which costs are relevant to Alusaf s decision? • What drives industry dynamics? " For this, we need an economic model of what drives supply decisions and prices Back to Alusaf: Cost (per ton) Analysis Smelter Country Company Capacity (tpy) Sorocaba A Brazil Other 122 Grand Baie Canada Alcan 180 Zaporozhye Ukraine CIS 100 Electricity usage (kWh/t) Electricity price ($/kWh) Total electricity cost: 15769 0.005 85.61 14215 0.005 67.48 17454 0.008 136.45 Alumina usage (t/t Al) Alumina price ($/t Alumina) Total alumina cost: 1.94 111.83 216.51 1.94 179.39 347.30 1.94 146.58 283.78 Other raw materials 156.19 95.66 58.28 Plant power and fuel Consumables Maintenance Labor Freight 6.51 79.28 30.13 150.40 43.43 10.00 42.16 52.93 149.85 39.09 4.04 67.31 32.57 17.27 48.86 57.66 66.27 72.16 General and administrative Which costs are variable and which are fixed? Group 6, Section 6 Supply of an Incumbent Firm: Constant MC $ Assuming variable cost includes all but labor, maintenance, plant power, and G&A Min. AC LR shutdown Min. AVC SR shutdown AC AVC = MC MC is vertical once capacity is reached Group 9, Section 7 Max. capacity Short-run: P > MC = AVC then produce at capacity shut down in the short run if P<AVC Long-run: P > MC = AC then produce at capacity shut down in the long run if P<AC The World’s Supply Curve of Primary Aluminum • Arrange firms by marginal cost in an ascending manner • Table below shows the lowest 4 firms. Firm Capacity Cumulative volume MC/ AVC Sorocaba 122 122 581 Grand Baie 180 302 591 Zaporozhye 100 402 594 Arvida 2 147 549 607 12 93 2 8 18 .5 00 31 .5 25 40 .5 82 53 .2 44 65 .2 37 71 .5 12 86 .5 46 95 .5 4 10 7.5 23 11 3.5 20 12 2.8 06 12 5.8 95 13 1.8 62 5. 14 3 22 15 2 37 16 5 16 206 83 0. 17 5 47 18 3 06 18 9 42 19 8 12 19 9 70 20 6 0 20 27 29 20 6.7 88 4. 7 Price (per ton) Section 7, Group 9 Primary Aluminum Short Run Supply Curve 2500.00 Market Demand Curve 2000.00 1500.00 1000.00 500.00 0.00 Output ('000 tons) How does the model measure up to the data? In 1993, at a price of $1,110 " Actual production = 19,781 " Supply model predicts = 19,412 (cumulative capacity of plants whose P = 1,110 > MC) " Wow!! Anything else?? " Idle capacity of 950 thousand tpy in some European plants; low cost and should be operating at $1,110 " Subtract 950 from 19,412 to get Adjusted Supply = 18,462 Demand = 18,500 Irrational Capacity: Incentives don t matter! Is this the whole story? It can t be: Case says that inventories are accumulating fast, → supply > demand Explanation: Irrational Capacity which stays up and running regardless of pricing " State-owned capacity that would not have operated under normal market incentives, but operates because decisions are driven by non-profit considerations " Add all state-owned capacity with average variable cost exceeding $1,110 How does the model measure up to the data? Actual demand 18,500 At a price of $1,110 the model predicts 19,412 Very close to actual production 19,781 Deduct 950 to adjust for idled European capacity 18,462 Add back 1,120 irrational capacity (difference builds up as inventories) 19,582 Question: Given that Aluminum prices are at historical lows, should Alusaf drop the project? Answer depends on a more fundamental question: What is the relationship between current prices and long-run prices? This Session: Competitive Supply and Market Price 1. Perfect Competition 2. Alusaf’s $2 billion question 3. Primary Aluminum Market’s Supply 4. Demand Shocks and Price Effects Are we missing something? Next Session Short-Run Costs and Prices Aluminum in 1992: Introduction of new capacity can lead to catastrophic collapse in prices 2500.00 Price (per ton) 2000.00 1500.00 1000.00 Short Run Demand Curve (inelastic) 500.00 New Capacity 0.00 0 5000 10000 15000 20000 25000 Output ('000 tons) Collapse when: a) Demand highly inelastic; b) Initial equilibrium on steep segment of supply curve It All Depends on Relative Demand and Supply But if supply intersects demand on the flat segment of the supply curve then… Demand and supply can vary by a significant amount without big prices changes 2500.00 Price (per ton) 2000.00 1500.00 1000.00 500.00 0.00 0 5000 10000 15000 Output ('000 tons) 20000 25000 Elasticity of Market Supply – Measuring responsiveness of supply to changes in price – % change in Q s Es = % change in P Point Elasticity Es = dQ P dP Q Lessons for a smart investor?? “We think gold and platinum are an outright buy at present levels as both metals have very low supply elasticity and are key beneficiaries of loose monetary policy” UBS Gold Outlook 2013 "In view of the expected high demand, pressure on real estate prices may continue. Such developments can easily generate bubbles in the real estate market because of problems in the elasticity of supply.” -- Rakesh Mohan, Deputy Governor, Bank of India, Dec. 2007 This Session: Competitive Supply and Market Price 1. Perfect Competition 2. Alusaf’s $2 billion question 3. Primary Aluminum Market’s Supply 4. Demand Shocks Next Session Short-Run Costs and Prices Take Away Point from Alusaf So what is the relationship between current prices and long-run profitability? " Quick answer: NONE!! " Firms make mistakes and can lose profits if they misinterpret short-run fluctuations and trends " KEY IMPLICATIONS: # It is very dangerous to be either overly optimistic or overly pessimistic about a commodity market opportunity based on just observing shortrun trends # You need to forecast long run prices (next session) Wrap up • A perfectly competitive market has: • A large number of small players, i.e. fragmented supply and demand. • A homogeneous product. • In a perfectly competitive market, firms are price-takers, and MR=p. Firms produce quantity Q such that p = MC. The firm’s supply curve is the inverse of the marginal cost curve. • Construct the market’s supply curve by adding the firms’ supply curves horizontally. Use the market’s supply curve to forecast the effect of demand shocks on the market’s price. • The effect of demand shocks on the market price are larger when supply is inelastic. • At this point, is our analysis complete??? • The decision of Alusaf depends on the forecast of the price of aluminum and the average cost of production. Next session : Short Run Costs and Prices • Answer this: Should Alusaf invest $2b in the Hillside Plant? • Reading: • Course Guide Chapter 11. • Read “Reading the Course Guide” !! • Chipmakers signal second dip, Financial Times, October 7, 2010.