1.4 Elasticity Flashcards
What is elasticity
A measure independent of units. It is the % change in a variable in response to a % change in another
What is PED
Price elasticity of demand - % change in quantity demanded over % change in price
This can be calculated by:
- Δq/q / Δp/p
- = Δq/Δp * p/q
- = (pd q wrt p) * p/q
e.g.
q = a - bq
ed = -b * p/q
What do the different values of PED indicate
PED = 0 : perfectly inelastic - no matter how much prices change demand will not change
between 0 and -1: inelastic - change in price > change in demand
PED = -1: unitary elastic - change in price = change in demand
PED < -1: elastic - demand changes more than price
PED = infinity: perfectly elastic - if price changes slightly demand will fall to 0
What factors affect PED?
Substitutes - more subs, more elastic
Proportion of income - more spenny, more elastic
Luxury/ necessity - necessities are inelastic
Addicitve - inelastic
Time period - long running more elastic e.g. subscriptions
What are some stats for elasticities?
Beer in the UK is -0.57
iPads is -2
Water in Cyprus is -0.05
What is PED used for? How does it affect revenue?
Predicts how spenidng changes with price
Expenditure: TR = p x q(p)
When p rises, q(p) goes down so the effect is unclear. If we know elasticities states and firms could use this for useful stuff like tax receipts
The change in revenue is affected by PeD - calculus is on page 12
Basically the partial derivative of TR w.r.t price = (1+PED) x q(p)
As such total revenue increases if demand is inelastic and decreases if elastic at the initial q(p)
What is YED
Income elasticity of demand - how change in income affects demand
dq/dy * Y/q
If YED > 0 it is a normal good (considered luxury if over 1)
If YED < 0 it is an inferior good
What is XED
Cross elasticity of demand - how a change in price of a good affects the demand of another good
XEDab = dqA/dpB * Pb/Qa
XED > 0 : substitutes
XED < 0 : complements
XED = 0 : unrelated
What is PES?
Price elasticity of supply
PES = dq/dp * p/q
What is PES affected by?
TRIBES
Time
Resource availability
Invenotry