INDIFFERENCE CURVES Reveals consumer preferences = illustrates the different combinations of 2 goods that yields equal satisfaction to a consumer, ie utility is fixed along this line Slope: represents the extent to (or rate at) which consumer is happy to substitute one good for another - The steeper the slope, the more willing the consumer is to give up units of good A for units of good B. = marginal rate of substitution = negative of the ratio of the marginal utility of X over the marginal utility of Y. Slope = - 𝑀𝑈𝑥 𝑀𝑈𝑦 INDIFFERENCE CURVES Reveals consumer preferences EFFECT OF A CHANGE IN INCOME For an increase in income: indifference curve shifts upward For a decrease in income: indifference curve shifts down COMBINE THE BUDGET LINE & INDIFFERENCE CURVE TO FIND THE CONSUMER EQUILIBRIUM: EFFECT OF A CHANGE IN INCOME Initially, I1 and B1 consumer equilibrium at E1 (where B1 and I1 are tangent to one another) Income increases, BL shifts from B1 to B2. This also causes the IC to shift up from I1 to I2. Final effect: consumer equilibrium at E2 where all budget is spent and the highest possible satisfaction is yielded What would it look like for an inferior good? INCOME AND SUBSTITUTION EFFECTS: A CHANGE IN PRICE These effects can be illustrated with indifference curves (IC) + budget lines (BL) Substitution effect = movement along original indifference curve (shown by shadow BL) Income effect = movement from hypothetical to new budget line (shown by IC) These effects can work in the same or in opposite directions. Normal goods: https://www.youtube.com/watch?v=vQsDCo-xVZY Inferior goods: https://www.youtube.com/watch?v=eSBiFdqaj8U Giffen goods: https://www.youtube.com/watch?v=PkS-G40CtzQ THE INCOME AND SUBSTITUTION EFFECTS OF A PRICE CHANGE (CONT.) Page 146 – 147: NORMAL GOODS A price change will cause the budget line to pivot, but look closely at how to explain the income & substitution effects. Fall in the price: - The price of product B has fallen, so ceteris paribus (income unchanged), consumers will substitute B for A. = substitution effect - The price change means consumers’ real income have increased (can purchase more units with same amount of money), meaning more of product B can be purchased. = income effect Rise in the price: - The price of product B has increased, so ceteris paribus (income unchanged), consumers will substitute A for B = substitution effect - The price change means the consumers’ real income have decreased (can purchase less units with the same amount of money), meaning less of product B will be purchased. (The price change has reduced the purchasing power of the consumer). THE INCOME AND SUBSTITUTION EFFECTS OF A PRICE CHANGE (CONT.) INFERIOR GOODS: A price change will cause the budget line to pivot, but look closely at how to explain the income & substitution effects. *A price change has an effect on the real income of the consumer. Fall in the price: - The price of product B has fallen, so ceteris paribus (income unchanged), consumers will substitute B for A. = substitution effect - The price change means consumers’ real income have increased (can purchase more units with same amount of money), meaning less of product B is purchased due to its inferiority = income effect (IN OPPOSITE DIRECTIONS) Rise in the price: - The price of product B has increased, so ceteris paribus (income unchanged), consumers will substitute A for B = substitution effect - The price change means the consumers’ real income have decreased (can purchase less units with the same amount of money), meaning more of product B will be purchased due to its inferiority. (The price change has reduced the purchasing power of the consumer, so he is forced to buy more of the inferior good). GIFFEN GOODS (EXAMINABLE; NOT IN TEXTBOOK) Definition: “A good with an upward sloping demand curve; i.e. as the price increases, the quantity demand increases” Explanation: a Giffen good is a highly inferior good, with few close substitutes RISE IN PRICE: When the price of a Giffen good increases, consumers will substitute away from the good towards other relatively cheaper goods (substitution effect). But the decrease in their real income will cause them to buy more of the inferior Giffen good (income effect). Giffen goods are so inferior that the income effect will outweigh the substitution effect, and the net result of the price increase will be an increase in the quantity demanded. Possible examples: Staples like rice or potatoes – when the price of these goods increases, people can’t afford to switch consumption to meat/dairy products, but still need to eat – they therefore buy more rice/potatoes. PRACTICE QUESTION BUDGET LINES – EXAMPLE A gorilla consumes only apples and bananas. If apples cost R2 and bananas cost R3, and the gorilla has a budget of R60, draw the gorilla’s budget line. Put apples on the x axis. On this budget line, illustrate (A) a point that is attainable, but doesn’t use the entire budget, (B) a point that uses the entire budget, and (C) a point that is outside of the budget. What does this remind you of? PAGES 145-147: QUESTIONS What are the income and substitution effects? When will the income effect be negative for a decrease in the price of a good (i.e. an increase in real income)? - normal goods - inferior goods - giffen goods Self-assessment task 7.2 EXERCISE As before, a gorilla consumes only apples and bananas. Apples cost R2 and bananas cost R3, and the gorilla has a budget of R60. Put apples on the x axis. For each of the following, draw the original budget line (based on the above information), as well as the new budget line after the price/income changes: 1. 2. 3. 4. The price of apples rises to R3, and the price of bananas remains at R3 The price of bananas drops to R1 and the price of apples remains at R2 The price of both apples and bananas doubles (to R4 and R6, respectively) The gorilla’s budget decreases to R45, but apples and bananas still cost R2 and R3, respectively 5. The gorilla’s budget increases to R90, but apples and bananas still cost R2 and R3, respectively EXERCISE (CONT.) Based on your previous answers, summarise what happens to the initial budget line if: A. The price of one good increases/decreases B. The price of both goods increases/decreases by equal proportions (i.e. relative prices remain the same) C. Income increases/decreases PRACTICE QUESTION: ESSAY Nov 17 p43 BUDGET LINES – MATHS [NOT EXAMINABLE] Budget constraint: px qx p y q y Y Where the two sides are equal, the entire budget is being spent, and we call this the budget line. px qx p y q y Y p y q y Y px qx Y py Y px qy qx py py Y / px