Advanced Topics Elasticity and Equilibrium Price Changes Changes in Equilibrium • When events cause a supply or demand curve to shift, the equilibrium price will shift. But how much? • Knowledge of elasticities can provide the answer to this question. Quantitative Changes Equilibrium Effects Negative Supply Shock • Negative supply shock like embargo on Iranian oil would raise prices and reduce quantity of oil available. – But how much? Clearly depends on the supply Equilibrium Change in Price • A 1% shift out in the demand curve leads to a change in equilibrium price. 1 % S D e e • A 1% shift out in the supply curve leads to a 1 change in equilibrium price. % S D e e Example 1 • Elasticity of demand for oil is eD = -.061 and elasticity of supply is eS = .04. World oil demand goes up by 1%. How much does the price change? • Answer: 1 1 1 1 S D % % % 9.90% e e .04 .061 .101 Example 2 • What would happen to oil prices for GeoPolitical reasons there were a shut-down of Iranian oil production and there was an inward shift in the oil supply curve of 4.9%? A shift in the supply schedule (Spreadsheet) A 4.9% shift in the supply schedule 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 Supply 29893.38 30078.28 30239.36 30382.16 30510.48 30627.02 30733.8 30832.36 30923.89 31009.35 31089.51 31164.99 31236.32 31303.95 31368.24 31429.56 Supply' 28428.61 28604.44 28757.63 28893.44 29015.46 29126.29 29227.84 29321.57 29408.62 29489.89 29566.12 29637.9 29705.74 29770.06 29831.2 29889.51 Demand 31867.11 31568.86 31312.77 31088.6 30889.43 30710.37 30547.8 30399.01 30261.9 30134.8 30016.4 29905.6 29801.51 29703.39 29610.59 29522.57 At the new supply curve there is excess demand for oil. • Excess demand will induce additional supply and cut back in demand. What is the new equilibrium? Example 3 • The cross price elasticity of bacon with respect to eggs is -.2. • The elasticity of demand for bacon is -.5. The elasticity of supply for bacon is .5. • The price of eggs goes up by 1%. What happens to the price of bacon? Example • What would the oil price change be in the long run, if world income went up permanently by 10% and no shift in supply curve? Excise Tax Own Price Elasticity Matters as well. • A less important effect is that the steepness of the demand curve will also impact the size of a demand shift. • The steepness of the supply curve will impact the size of a supply shift. Steeper (less elastic) demand curve means that a demand shift . price and quantity. will have a bigger impact on both D2’ P P2** 2 1 P1** 0 P* D2 Q* Q1** Q2** D1 D1’ Q Steeper (less elastic) supply curve means that a supply shift will . and bigger impact on price. have a stronger impact on quantity P S1’ P1** S1 S2’ S2 1 2 P2** P* 0 D Q1** Q2** Q* Q Gains from Trade Advanced Topic Market System • A free market allows people to sell goods that they value relatively little to buyers who value them more. • A price can be obtained between buyers and sellers valuations at which they can both benefit. • You own shares of stock that you think are worth $5 and someone else thinks are worth $9 per share. If you sell them at $7 both the buyer and the seller are happy. Demand Curves are Valuation Curves • To measure the benefits of the market, economists invert the meaning of the demand curve. • Standard definition of the demand curve: how many units of Q will buyers want at price P. • Inverted definition: What is the maximum price that buyers are willing to pay to buy the Qth unit of the good. • Implication: What is the value that the consumer places on the Qth good. Demand curve P . P1D Maximum that the buyer on the fence will pay to for Q1th good is P1 D Q1 Q Supply Curves are Valuation Curves • To measure the benefits of the market, economists invert the meaning of the supply curve. • Standard definition of the supply curve: how many units of Q will sellers want at price P. • Inverted definition: What is the minimum price that sellers are willing to accept for the Qth unit of the good. • Implication: What is the value that the seller places on the Qth good. Supply curve . P S P1S Maximum that the buyer on the fence will pay to for Q1th good is P1 Q1 Q Equilibrium Price • Price will be between the value that the seller places on the Qth good and what the buyer places on the same good. • Both buyer and seller benefit. • We can calculate exactly how much each benefits by comparing the value they place on the good vs. either the price they pay for it or sell it for. • The gains from trade on the final good Q* is zero. Gains from Trade of selling Q1 is [P1D – P1S]. . Buyers Benefit is [P1D – P*]. Sellers benefit is [P*- P1S]. P S P1D P* P1S D Q1 Q Surplus • The sum total of gains from trade is the sum of the benefits from each good. • This sum of gains of trade, called surplus, can be divided into two parts…consumer surplus and producer surplus. Sum of the benefits from all goods. . P S Q1 Q Represented as a triangle . P S Q1 Q Triangle can be split into two triangles, total consumer benefit . and total producer benefit. P S Consumer P* Surplus Producer Surplus Q1 Q