Module 3 Flashcards
(65 cards)
Define arc elasticity
Measurement of elasticity between two points on a curve.
Define point elasticity & what is the formula
Measurement of elasticity at a point on the curve.
Forumla is dQ/dP * P/Q
Where dQ/dP is the inverse of the slope of the tangent to the demand curve the point in the question.
dy/dx = gradient, dX/dY = inverse gradient (slope) tangential to the point
Define price elasticity of demand (Pε_D)
State general formula in terms of % change for Pε_D.
Formula for arc elasticity using original and average (midpoint) methods.
small D to the ε
Price elasticity of demand measures the responsiveness of quantity demanded to change in price.
General formula in terms of % => PεD = % change in QD/ % change in P
Expressed using original/average method:
PεD = (change in QD/original QD) / (change in P / original P)
PεD = (change in QD/average QD) / (change in P / average P)
Convention is to use average values.
Describe elastic demand
Situation where the quantity demanded is relatively sensitive to a change in price.
Absolute value of PED (Price Elasticity of Demand) > 1
Describe inelastic demand
Situation where quantity demanded is relatively insensitive to change in price.
|PED|< 1
Describe unit elasticity of demand
Situation where the price and quantity change by the same percentage.
PED = -1, |PED| = 1
- Price of Good X increases from £6 to £9.
- Quantity demanded decreases from 100 to 90.
Calculate and interpret PED of demand using the average method.
PεD = (change in QD/average QD) / (change in P / average P)
(6, 100) to (9, 90), dQ = -10, dP = +3
(-10/95) / (+3/7.5) = -10.5%/+40% = -0.26
-ve sign indicates downward sloping demand curve
Absolute value |-0.26| = 0.26 < 1 indicates demand is relatively inelastic.
i.e., increase in price has led to less than proportionate decrease in quantity demanded.
Describe three determinants of price elasticity of demand (PED)
- Number and closeness of substitute goods, which may depend on broadness of the product definition. More substitutes general means a more elastic demand.
- Proportion of income spent on the good. A larger proportion generally means more elastic demand.
- Time period, as it takes time to find alternative goods. The longer the time period, the more elastic the demand.
PED = price changes first.
Broadness of product/product breadth = Total number of different product lines a company offers
Define ‘total revenue’ and effect on total revenue if there is an increase in price if the demand is:
1. Perfectly inelastic - PED = 0
2. Relatively inelastic - |PED| < 1
3. Of unit elasticity - |PED| = 1
4. Relatively elastic - |PED| > 1
5. Perfectly elastic - |PED| = infinity
Total Revenue (TR) is total amount received by firms from sale of a product, before tax deductions or other costs.
TR = P x Q
Total revenue = Price of good x Quantity sold.
When price increases, and if demand is:
1. Perfectly inelastic - TR increases in proportion to increase in price.
2. Relatively inelastic - TR increases
3. Of unit elasticity - TR remains constant
4. Relatively elastic - TR decreases
5. Perfectly elastic - TR decreases to 0.
Draw with unit elasticity of demand
Refer to notes (M3-7)
PED = -1. Downward sloping demand curve.
Draw demand curve with 0 elasticity
Refer to notes (M3-7)
PED = - infinity. Straight horizonal line at some P.
Quantity supplied of a good given by:
Qs = 2P - 10
Calculate and interpret the point price elasticity of supply when price is £15
PES = dQs/dP * P/Qs
= 2 * P/Qs = 2* P/(2P - 10)
= 2* 15/(2*15 -10) = 30/20 = +1.5
(2 because Qs = 2P - 10, so Qs is the y and P is the x, gradient is dy/dx = dq/dp so 2 instead of having to do inverse)
+ve sign means upward sloping supply curve.
PES value > 1, indicates supply is relatively elastic.
I.e, an increase in price leads to a more than proportionate increase in quantity supplied.
Draw demand curve with infinite elasticty
Refer to notes (M3-7)
PED = 0. Straight verticle line at some Q.
Explain how PED varies along a straight line demand curve of form P = a - bQ
P = a - bQ where a and b are constants. Thus dP/dQ = -b (gradient).
Point elasticity is given by PED = dQ/dP * P/Q = -1/b * P/Q
Since b is constant, elasticity alnog demand curve varies directly with the ratio of P to Q.
Explain intended effect of advertising on demand curve.
Diagram in notes.
- Shift product’s demand cruve to the right by bringing product to more consumers; attention, increasing attractiveness and marginal utility of product. Benefit gained per additional unit of product
- Make product’s demand less price-elastic (make quantity demanded less reliant on price changes) by creating brand loyalty (people will still buy because of brand even if price goes up), thus reducing number of perceived substitute goods.
Define price elasticity of supply PES
State general formula in terms of % then formula for arc elasticity using origina/average methods.
PES = measure of responsiveness of quantity supplied to price change.
% changes:
PES = % change in Qs / % change in P
Expressed using original/average method:
PεS = (change in QS/original QS) / (change in P / original P)
PεS = (change in QS/average QS) / (change in P / average P)
Two main factors that influence value of Price Elasticity of Supply
- Amount that firms’ costs rise as output rises - i.e., the firms’ marginal cost (cost to output additional unit of product), if costs very little to produce each extra unit of output, supply will be very elastic. If it is expensive to supply another unit, supply will be very inelastic.
- Time Period - It takes time to increase factor, thus time to increase outputs, thus time to increase supply, therefore supply will be more elastic in the long run rather than the short run.
Define Income Elasticity of Demand (YED)
State % change general formula and arc elasticity using original and average methods.
Income Elasticity of demand (YED) measures responsiveness of demand to change in consumer incomes (Y).
General formula;
YED = % change in QD/ % change in consumer income.
Expressed using original/average method:
YεD = (change in QD/original QD) / (change in Y / original Y)
YεD = (change in QD/average QD) / (change in Y / average Y)
Convention to use average values.
Define ‘normal goods’:
Goods whose demand increases as consumer income increases.
Has positive income elasticity of demand.
Define ‘inferior goods’:
Goods whose demand increases as consumer incomes increase.
E.g. store brand items, used cars, etc.
Things you typically can get/want upgrades on once you have more money
How does income elasticity of demand for luxury goods compare to that of basic goods.
Luxury goods have higher income elasticity of demand (YED) than more basic goods.
Consumer will increase demand if they have the money for it because it is a luxury good - demand linked to brand rather than price.
- Income increases from £18,000 to £22,000.
- Quantity of goods demanded increases from 40 to 60.
- Interpret income elasticity of demand (YED) using average method.
YεD = (change in QD/average QD) / (change in Y / average Y)
YED = (20/50) / (4000/20,000) = 40%/20% = 2
+ve sign indicates normal good.
Describe main factor that influences the value of income elasticity of demand (YED)
- Degree of necessity of the good.
- In developed countries, demand for luxury goods expand rapidly as consumer income rises, so demand will be very income elastic.
- In contrast, demand for basic goods rises only a little (if at all) as consumer incomes rise, so demand will be very income inelastic.
Probably because already buying basic items as necessity. Won’t need to buy more depending on the item. E.g. toothpaste.
Define cross-price elasticity of demand (CεD)
State % general formula and arc elasticity using original and average methods.
Cross-Price Elasticity of Demand (CεD_AB) measures responsiveness of demand for one good (Good A) to change in response to change in price of another (Good B)
(I.e. how does Good A demand change as Good B price changes)
CεD_AB = % change in QD_A / % change in P_B => % change in quantity of Good A demanded / % change in Price of Good B (how does top change according to bot)
CεD_AB = (change in QD_A/original QD_A) / (change in P_B / original P_B)
CεD_AB = (change in QD_A/average QD_A) / (change in P_B / average P_B)
Convention is to use average values.