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Prices

CIMA Free Mock Exam

1 Introduction to price behaviour

Syllabus

This chapter serves area B lead 2 in full: B2(a) the price mechanism and the equilibrium price in product and factor markets, B2(b) calculating the price elasticity of demand and the price elasticity of supply, B2(c) the determinants of both elasticities, and B2(d) calculating the effect of the price elasticity of demand on a firm’s total revenue.

The lecture for this chapter runs through sections 1 to 5 in the order they appear here. Three things before you play it.

  • Check its ARC elasticity working against this one. On the lecture’s figures the price moves between $6 and $8 and the quantity between 2,000 and 1,400. Change in quantity 600 ÷ mid-point 1,700 = 0.353; change in price 2 ÷ mid-point 7 = 0.286; arc elasticity 0.353 ÷ 0.286 ≈ 1.24. The price change is $2, so the denominator is 2 ÷ 7, not 1 ÷ 7, and the answer is about 1.24, not 2.5. Demand is elastic either way. Section 3.2 works the method on the chapter’s own figures.

  • It does not reach the determinants of the price elasticity of demand (section 3.4) or the effect of elasticity on total revenue as a calculation (section 3.5). Both are examinable and both are written here.

  • Its list of the causes of a shift in the supply curve is deliberately partial — it says so — and the full list is in section 4.1.

YouTube video

Microeconomics is the branch of economics that deals with the price and the cost of individual goods, and with the way suppliers and customers react to prices.

It is close to self-evident that as the price of a product rises, the quantity demanded is likely to fall. If airfares rise, fewer people choose to travel. If a market trader is left at the end of the day with fruit that will not keep, the price comes down to stimulate demand.

This chapter looks at how price and quantity depend on one another on the demand side, at how price affects supply — higher prices encourage more production — and at how the price mechanism brings the two together so that demand equals supply.

2 Demand

2.1 The demand curve

For most goods, as the price increases the quantity demanded falls. Plotted with price on the vertical axis and quantity on the horizontal, that gives the DEMAND CURVE.

Quantity demandedPriceDemand

The curve is drawn as a straight line here for simplicity. In practice a demand curve is usually curved, because the responsiveness of demand to price is not the same at every price — section 3.3 shows exactly that.

There is one familiar exception to the downward slope. For a few luxury goods, a high price is part of what the buyer is paying for: the price signals exclusivity, and cutting it can reduce demand rather than increase it.

2.2 Movements along the curve and shifts of the curve

The distinction that matters

A MOVEMENT ALONG the demand curve is caused by a change in the PRICE OF THE GOOD ITSELF. Nothing else has changed: at the new price a different quantity is demanded, and we simply read it off the same curve.

A SHIFT OF the demand curve is caused by a change in ANYTHING ELSE. At every price a different quantity is now demanded, so the whole curve moves.

A shift to the right means more is demanded at every price; a shift to the left means less.

Quantity demandedPriceDD1

In the diagram, D is the original demand curve and the dashed D1 is the same demand after a rightward shift.

A shift can be caused by any of the following.

  • CONSUMERS’ INCOME. In general, higher incomes shift the demand curve to the right, so that more is sold at any given price. There are exceptions, known as INFERIOR GOODS, whose demand curve shifts LEFT as income rises because buyers switch to something better. The demand for the cheapest brands of coffee falls as incomes rise and consumers move to premium brands.

  • SUBSTITUTES AND COMPLEMENTS. A SUBSTITUTE is a product that can be bought instead: olive oil and sunflower oil are substitutes for many purposes, so if the price of olive oil rises, the demand for sunflower oil increases and its curve shifts right. COMPLEMENTS are bought together: cars and petrol. If the price of cars falls, more are bought and more petrol is bought too, even though the price of petrol has not changed, so petrol’s demand curve shifts right.

  • FASHION AND TASTE. A fashionable item has high demand and consumers may be willing to pay a high price for it. Advertising works the same way: it increases the quantity demanded at any given price, shifting the curve to the right.

  • EXPECTATIONS OF FUTURE PRICE CHANGES. If consumers think the price will rise, current demand increases as they buy ahead, and the curve shifts right. If they think it will fall, they wait, and it shifts left.

3 The price elasticity of demand

3.1 What elasticity means

Elasticity determines the slope of the demand curve — how much the quantity demanded responds to a change in price.

If demand is ELASTIC, the good is price sensitive: a small change in price causes a relatively large change in demand. That is the flatter line below. If demand is INELASTIC, the good is price insensitive: a change in price has a relatively small effect on demand. That is the steeper line.

Quantity demandedPriceElasticInelastic

The measure itself is a ratio of two proportional changes:

Price elasticity of demand

PED = the proportional (or percentage) change in the quantity demanded ÷ the proportional (or percentage) change in price.

Because an increase in price normally causes a decrease in demand, the result is technically negative. The negative sign is conventionally ignored, and it is the SIZE of the number that is read.

Value of PED

What it means

Effect on revenue of a PRICE CUT

PED > 1

Demand is ELASTIC. A small change in price causes a relatively large change in quantity.

Revenue RISES: the extra volume more than compensates for the lower price.

PED = 1

Demand is UNIT ELASTIC. The percentage changes are equal and opposite.

Revenue is UNCHANGED.

0 < PED < 1

Demand is INELASTIC. A change in price causes a relatively small change in quantity.

Revenue FALLS: the extra volume does not compensate for the lower price.

The inelastic case is written 0 < PED < 1, not “0 < 1”. It has to have PED in the middle of it, because it is saying that the elasticity lies between nought and one.

3.2 Arc elasticity

There are two ways of calculating the elasticity between two points, and they differ only in what they measure the change AGAINST.

ARC ELASTICITY uses the MID-POINT of the two prices and of the two quantities as its base. Suppose that at a price of $8 demand is 1,200 units and at a price of $6 demand is 2,200 units.

01,0002,0003,00002468Quantity demandedPrice ($)Demand$8/1,200 and $6/2,200

Mid-point quantity = (2,200 + 1,200) ÷ 2 = 1,700. Mid-point price = ($8 + $6) ÷ 2 = $7.

Proportional change in demand = (2,200 − 1,200) ÷ 1,700 = 0.588, or 58.8%.

Proportional change in price = ($8 − $6) ÷ $7 = 0.286, or 28.6%.

Price elasticity of demand = 58.8 ÷ 28.6 = 2.06.

Both figures in the ratio must be divided by the MID-POINT, not by the starting figure. Dividing the price change by the starting price while dividing the quantity change by the mid-point quantity is the commonest way this calculation goes wrong, and it inflates the answer.

3.3 Point elasticity

POINT ELASTICITY uses the STARTING point as its base instead. On the same data, starting at a price of $8 and a demand of 1,200:

Proportional change in demand = (2,200 − 1,200) ÷ 1,200 = 0.833, or 83.3%.

Proportional change in price = ($8 − $6) ÷ $8 = 0.25, or 25%.

Price elasticity of demand = 83.3 ÷ 25 = 3.33.

The two methods give different answers on the same data — 2.06 and 3.33 — and neither is wrong. They are measuring the responsiveness against different bases. Read the requirement: if it says arc, use the mid-points; if it says point, use the starting values.

Elasticity changes along the curve

The elasticity of demand changes constantly as you move along a demand curve, EVEN IF THE CURVE IS A STRAIGHT LINE. A straight demand line has a constant SLOPE, but elasticity is a ratio of PROPORTIONAL changes, and the same $1 is a larger proportion of a low price than of a high one. Section 3.5 works this out in full on a twelve-row schedule.

3.4 The determinants of the price elasticity of demand

The syllabus asks you to explain what MAKES demand elastic or inelastic. Six influences matter, and each of them is about how easy it is for the buyer to react to the price.

Influence

Effect on PED

Why

Necessity or luxury

Necessities are INELASTIC; luxuries are ELASTIC

People buy basic food whatever it costs, so a price rise barely moves the quantity. A foreign holiday can simply not be taken this year, so the quantity is very responsive.

Availability of close substitutes

Many close substitutes make demand ELASTIC

If one brand of sunflower oil rises in price and three others do not, buyers switch. If there is nothing to switch to, they pay.

The proportion of income the good absorbs

Cheap items are INELASTIC; expensive ones are ELASTIC

A 20% rise in the price of salt is not worth reacting to. A 20% rise in the price of a car is.

Whether the purchase can be postponed

Postponable purchases are ELASTIC

A replacement kitchen can wait a year; a tank of fuel to get to work cannot.

Habit and addiction

Makes demand INELASTIC

Tobacco and alcohol are the standard cases, and they are why governments tax them: the revenue holds up when the price rises.

The time horizon

Demand is more ELASTIC in the long run than in the short run

When domestic gas prices rise, households cannot immediately do anything about it. Given three years they insulate, or change their heating system, and the quantity falls a great deal more.

The influences interact, and the exam expects you to read a scenario for the one that dominates. Petrol has few substitutes and is hard to postpone, so its demand is inelastic in the short run — but it absorbs a large enough share of some household budgets, and has enough long-run substitutes, that its elasticity rises with time.

3.5 Price elasticity of demand and total revenue

The syllabus asks you to CALCULATE the effect of the price elasticity of demand on a firm’s total revenue, so the direction of the effect has to be worked out on figures rather than remembered as a rule.

Take a demand schedule in which quantity increases by 1,000 units for each $1 the price is cut, and add a column for total revenue, which is simply price × quantity.

Price ($)

Quantity demanded

Total revenue ($)

12

5,000

60,000

11

6,000

66,000

10

7,000

70,000

9

8,000

72,000

8

9,000

72,000

7

10,000

70,000

6

11,000

66,000

5

12,000

60,000

4

13,000

52,000

3

14,000

42,000

2

15,000

30,000

1

16,000

16,000

Revenue rises as the price is cut from $12, peaks at $72,000 between $9 and $8, and then falls away. The total revenue curve is the inverted U below, drawn against quantity.

05101520020406080Quantity sold (000)Total revenue ($000)Total revenue

Now compute the arc elasticity at three places on the same schedule, and the shape of that curve stops being a coincidence.

Price change

Change in quantity ÷ mid-point quantity

Change in price ÷ mid-point price

PED

Revenue

$12 to $11

1,000 ÷ 5,500 = 0.182

1 ÷ 11.5 = 0.087

0.182 ÷ 0.087 = 2.09 — elastic

Rises, 60,000 to 66,000

$9 to $8

1,000 ÷ 8,500 = 0.1176

1 ÷ 8.5 = 0.1176

0.1176 ÷ 0.1176 = 1.00 — unit elastic

Unchanged, 72,000

$3 to $2

1,000 ÷ 14,500 = 0.069

1 ÷ 2.5 = 0.400

0.069 ÷ 0.400 = 0.17 — inelastic

Falls, 42,000 to 30,000

The result, and it is exact

Total revenue is at its maximum where the price elasticity of demand is exactly 1. Above that price demand is elastic and CUTTING the price raises revenue; below it demand is inelastic and RAISING the price raises revenue.

This is why a firm cannot answer “should we put the price up?” without an estimate of its elasticity, and why the same price cut is a good idea for one product and a disaster for another.

Two cautions before you use this in an exam answer. Revenue is not profit: a price cut that raises revenue also raises the volume produced, and therefore the variable cost. And the schedule above assumes nothing else changes — if a competitor matches the price cut, the firm is no longer moving along its own demand curve, because the curve itself has shifted.

4 Supply

4.1 The supply curve, movements and shifts

As you would expect, the higher the price offered to suppliers, the more will be produced. Existing suppliers increase output and new suppliers enter the market, because at a higher price there is more profit in it. At a very low price only the single most efficient producer can survive; as the price rises, less efficient producers become viable too.

Quantity suppliedPriceSupply

The same MOVEMENT-versus-SHIFT distinction applies as on the demand side. A change in the price of the good is a movement ALONG the supply curve. A change in anything else shifts the whole curve.

A shift to the right means that more is supplied at every price — or, read the other way, that the same quantity will now be produced for a lower selling price.

Quantity suppliedPriceSS1

In the diagram, S is the original supply curve and the dashed S1 is supply after a rightward shift.

A rightward shift can be caused by:

  • LOWER AVERAGE COSTS OF PRODUCTION, so that producing the same volume is still worthwhile even if selling prices fall;

  • SUBSIDIES for raw materials or labour, or lower tax and duty on purchases, which have the same effect on cost;

  • MORE EFFICIENT USE OF THE EXISTING FACTORS OF PRODUCTION — ordering materials more accurately, rearranging work rotas — which again lowers the cost of production; and

  • IMPROVEMENTS IN TECHNOLOGY, such as more efficient processes or automation.

A shift to the LEFT, in which less is supplied at every price, can be caused by:

  • an increase in the average cost of production;

  • taxation of raw materials;

  • a government quota or other restriction on how much may be produced; or

  • a switch of production to more profitable products, which simply removes productive capacity from this market.

4.2 The price elasticity of supply and its determinants

Price elasticity of supply

PES = the proportional (or percentage) change in the quantity supplied ÷ the proportional (or percentage) change in price.

PES > 1 means supply is ELASTIC: a small change in price causes a relatively large change in the quantity supplied. 0 < PES < 1 means supply is INELASTIC.

It is calculated exactly as the price elasticity of demand is, and the same choice between the arc and the point method applies. Because a higher price normally brings out more supply, the result is positive.

Supply is likely to be ELASTIC if:

  • there is spare capacity in producers’ factories;

  • there is inventory available that can easily be released and sold;

  • it is easy to employ more factors of production; and

  • additional sources of the product are easy to create.

Supply is likely to be INELASTIC if:

  • suppliers are already operating close to full capacity;

  • stocks are low, so there are no surplus goods to sell;

  • additional sources of supply are difficult to create — expensive, complex factories are needed;

  • it is difficult to employ the factors of production, for example because highly skilled labour is needed and is scarce; and

  • the product takes time to produce. Agricultural supply is inelastic in the short run because food takes a season to grow; only imports can relieve a shortage before the next harvest.

As with demand, TIME is the influence that runs through all of these: supply is nearly always more elastic in the long run than in the short run, because given long enough a producer can build the factory, train the workers or plant the crop.

5 The equilibrium price

Putting the demand and supply curves on the same axes gives the price mechanism itself.

QuantityPriceDS

D is the demand curve and S the supply curve.

At the price where the two curves cross, the quantity suppliers wish to supply is exactly the quantity buyers wish to buy. That price is the EQUILIBRIUM PRICE and that quantity is the equilibrium quantity. At any other price the market is in DISEQUILIBRIUM, and the price mechanism moves it back.

5.1 Excess demand

Suppose the market price is P1, below the equilibrium.

QuantityPriceDSP1Excess demand

At P1 the quantity demanded, read off the demand curve, is larger than the quantity supplied, read off the supply curve. The difference between them is the EXCESS DEMAND.

The market is now in disequilibrium, and it corrects itself. Some buyers who cannot obtain the good offer more for it, so the price RISES. The higher price both encourages suppliers to produce more and discourages some buyers, and the two movements continue until the excess demand has gone and equilibrium is restored.

5.2 Excess supply

Now suppose the market price is P2, above the equilibrium.

QuantityPriceDSP2Excess supply

At P2 the quantity supplied exceeds the quantity demanded, and the difference is the EXCESS SUPPLY.

Again the market corrects itself. Producers holding unsold goods lower their prices to clear them, so the price FALLS. The lower price increases the quantity demanded and makes production unattractive to the least efficient suppliers, who leave, until equilibrium is restored.

5.3 The same model in other markets

The syllabus asks for the equilibrium price in PRODUCT OR FACTOR markets, and the whole point of the model is that it is the same model in both. Everything in this chapter applies wherever a price is set by demand and supply:

Market

The “price”

What determines demand

What determines supply

Labour (a factor market)

The wage

Employers’ need for that skill, and the output it produces

How many people have the skill and are willing to work at that wage

Raw materials

The commodity price

The output of the industries that use it

Extraction and growing capacity, and stocks held

Money (a factor market)

The interest rate

Borrowers’ demand for funds

Savers’ willingness to lend

Currencies

The exchange rate

Demand for the country’s goods and assets

Supply of the currency by its holders

Air fares and hotel rooms

The fare or room rate

Travellers, whose demand is highly seasonal

Aircraft seats and rooms, which are fixed in the short run — supply is very inelastic

The last row is worth dwelling on, because it is the whole chapter in one line: hotel rooms cannot be added for one weekend, so supply is almost perfectly inelastic in the short run, and any increase in demand is therefore absorbed almost entirely by the price.

6 Tests

The chapter’s own five questions follow. Work each one before you open the answer.

Which of the lines A or B in the diagram below shows the product with the greater price elasticity of demand?

Quantity demandedPriceAB
Show answerHide answer

B.

A high price elasticity of demand means high price sensitivity, and a price-sensitive product has a FLATTER demand line: for a given change in price, the quantity demanded of B changes far more than the quantity demanded of A.

With respect to the diagram below, which TWO of the following statements are correct?

QuantityPriceDSP1P2

A At price P2 there is excess demand

B At price P1 there is excess supply

C At price P2 there is excess supply

D At price P1 there is excess demand

Show answerHide answer

C and D.

P1 is BELOW the equilibrium price. At a low price buyers want more than producers are willing to make, so there is excess DEMAND, and the price is bid up.

P2 is ABOVE the equilibrium price. At a high price producers make more than buyers want, so there is excess SUPPLY, and the price is cut to clear the goods.

Is the following statement true or false?

“When the price elasticity of demand is greater than one, an increase in price will cause an increase in revenue.”

Show answerHide answer

FALSE.

A price elasticity of demand greater than one means the product is price SENSITIVE. A small increase in price causes a relatively large fall in the quantity sold, so revenue FALLS. It is a price CUT that raises revenue when demand is elastic — see section 3.5.

Calculate the arc elasticity of demand for the data below.

Price

Quantity sold

15

20,000

20

16,000

Show answerHide answer

Mid-point of the price range = ($15 + $20) ÷ 2 = $17.50. Mid-point of the quantity range = (20,000 + 16,000) ÷ 2 = 18,000.

Proportional change in quantity = 4,000 ÷ 18,000 = 0.2222.

Proportional change in price = 5 ÷ 17.50 = 0.2857.

Price elasticity of demand = 0.2222 ÷ 0.2857 = 0.78.

The result is less than 1, so demand for this product is inelastic — and the figures show it: the price rose by a third and revenue rose from $300,000 to $320,000.

Would each of the following normally shift the demand curve to the left or to the right?

Shift to right

Shift to left

Increased advertising

Lower incomes

An item becoming fashionable

The price of a substitute falling

Show answerHide answer

Shift to right

Shift to left

Increased advertising

X

Lower incomes

X

An item becoming fashionable

X

The price of a substitute falling

X

The last row is the one to be careful with. If a SUBSTITUTE becomes cheaper, buyers switch to it, so demand for THIS product falls at every price and its curve shifts LEFT.

7 Test your knowledge

Two quick checks before you move on: work through the flashcards to fix this chapter’s key terms and definitions, then sit the objective questions for exam-style practice. Both mark themselves and explain the answers as you go.

Practice questions

Prices

12 questions

Answer the questions one at a time. Your progress is saved so you can leave and come back.

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