Lecture 3 elasticity (chapter 5) Flashcards
what does elasticity measure
measure of the responsiveness of quantity demanded or quantity supplied to one of its determinants.
Price elasticity of demand
a measure of how much the quantity demanded of a good responds to a change in the price of that good. Computed as the percentage change in quantity demanded divided by the percentage change in price.
Price elasticity of demand (equation)
% change in quantity demanded / % change in price
- Suppose a 10% increase in the price of an ice-cream cone causes the amount of ice cream you buy to fall by 20%
o Price elasticity of demand = 20% / 10% = 2
The price elasticity 2 which means that the change in the quantity demanded is proportionately twice as large as the change in the price.
- If we do not know the percentage change, but only know the before and after prices and quantity demanded.
o Need to calculate the percentage change.
2 methods to calculate the price elasticity of demand
- Initial value as the base:
- Midpoint method-using mid=point or the average as the base to calculate percentage change (this will be the one we use in the calculation there after)
price elasticity of demand
- Price elasticity of demand =
(Q2 - Q1) / [(Q2 + Q1) / 2]
(P2 – P1) / [(P2 + P1) / 2]
- Using the previous example, with the midpoint method:
Price = $5 Quantity = 100
- From point A to Point B, the price rises by 40% and the quantity falls by 40%
- From point B to point A, the price falls by 40% and the quantity rises by 40%
- In both directions, PED = 1
initial value as the base
1. Initial value as the base: For example: Point A: Price = $4 Quantity = 120 Point B: Price = $6 Quantity = 80
- From point A to point B, the price rises by %50, and the quantity falls by 35%, PED = 0.66.
- From point B to point A, the price falls by 33%, and the quantity rises by 50%, PED = 1.5
when elasticity is greater greater than 1
demand is elastic
the quantity moves proportionately more than the price.
when the elasticity is less than 1
demand is inelastic
that quantity moves proportionately more than the price.
If the elasticity is exactly 1
the quantity moves the same amount proportionately as price, demand is said to have unit elasticity.
Even though the slope of a linear demand curve is constant, the elasticity is not.
that the slope is the ratio of changes in the two variables, whereas the elasticity is the ratio of percentage changes in the two variables
rearrange the elasticity formula
percentage change in quantity demanded = percentage change in price x Ed
Beer prices and highway deaths
Use the concept of price elasticity to predict the effects of a change in the price of beer on drinking and highway death among young adults.
- The price elasticity of demand for beer among young adults is about 1.30.
- If the state imposes a beer tax that increases the price of beer by 10%, we would predict that beer consumption will decrease by 13%
o % change in quantity demanded = % change in price*Ed = 10$ * 1.30 = 13% - the number of highway deaths among young adults is roughly proportional to their beer consumption, so the number of deaths will also decrease by 13%
Cigarette prices and teenagers
A policy to reduce smoking by teenagers.
A policy to reduce smoking by teenagers.
- Under the 1997 federal tobacco settlement, cigarette prices increased by about 62 cents per pack, a percentage increase of about 25%
- The demand for cigarettes by teenagers is elastic, with an elasticity of 1.3
- Therefore, a 25% price hike will reduce teen smoking by 32.5%
- % change in quantity demanded = 25%*1.30 = 32.5%