微观经济学uncertaintyandconsumerbehavior(编辑修改稿)内容摘要:
Risky job has expected ine = $20,000 with expected utility = 14 Point F Certain job has expected ine = $20,000 with utility = 16 Point D 169。 2020 Pearson Education, Inc. Chapter 5 49 Ine ($1,000) Utility The consumer is risk averse because she would prefer a certain ine of $20,000 to an uncertain expected ine = $20,000 E 10 10 20 14 16 18 0 16 30 A C D Risk Averse Utility Function F 169。 2020 Pearson Education, Inc. Chapter 5 50 Preferences Toward Risk A person is said to be risk neutral if they show no preference between a certain ine, and an uncertain ine with the same expected value Constant marginal utility of ine 169。 2020 Pearson Education, Inc. Chapter 5 51 Risk Neutral Expected value for risky option is the same as utility for certain oute E(I) = ()($10,000) + ()($30,000) = $20,000 E(u) = ()(6) + ()(18) = 12 This is the same as the certain ine of $20,000 with utility of 12 169。 2020 Pearson Education, Inc. Chapter 5 52 Ine ($1,000) 10 20 Utility 0 30 6 A E C 12 18 The consumer is risk neutral and is indifferent between certain events and uncertain events with the same expected ine. Risk Neutral 169。 2020 Pearson Education, Inc. Chapter 5 53 Preferences Toward Risk A person is said to be risk loving if they show a preference toward an uncertain ine over a certain ine with the same expected value Examples: Gambling, some criminal activities Increasing marginal utility of ine 169。 2020 Pearson Education, Inc. Chapter 5 54 Risk Loving Expected value for risky option – point F E(I) = ()($10,000) + ()($30,000) = $20,000 E(u) = ()(3) + ()(18) = Certain ine is $20,000 with utility of 8 – point C Risky alternative is preferred 169。 2020 Pearson Education, Inc. Chapter 5 55 Ine ($1,000) Utility 0 10 20 30 The consumer is risk loving because she would prefer the gamble to a certain ine. Risk Loving 3 A E C 8 18 F 169。 2020 Pearson Education, Inc. Chapter 5 56 Preferences Toward Risk The risk premium is the maximum amount of money that a riskaverse person would pay to avoid taking a risk The risk premium depends on the risky alternatives the person faces 169。 2020 Pearson Education, Inc. Chapter 5 57 Risk Premium – Example From the previous example A person has a .5 probability of earning $30,000 and a .5 probability of earning $10,000 The expected ine is $20,000 with expected utility of 14 169。 2020 Pearson Education, Inc. Chapter 5 58 Risk Premium – Example Point F shows the risky scenario – the utility of 14 can also be obtained with certain ine of $16,000 This person would be willing to pay up to $4000 (20 – 16) to avoid the risk of uncertain ine Can show this graphically by drawing a straight line between the two points – line CF 169。 2020 Pearson Education, Inc. Chapter 5 59 Ine ($1,000) Utility 0 10 16 Here, the risk premium is $4,000 because a certain ine of $16,000 gives the person the same expected utility as the uncertain ine with expected value of $20,000. 10 18 30 40 20 14 A C E G 20 Risk Premium F Risk Premium – Example 169。 2020 Pearson Education, Inc. Chapter 5 60 Risk Aversion and Ine Variability in potential payoffs increases the risk premium Example: A job has a .5 probability of paying $40,000 (utility of 20) and a .5 chance of paying 0 (utility of 0). 169。 2020 Pearson Education, Inc. Chapter 5 61 Risk Aversion and Ine Example (cont.): The expected ine is still $20,000, but the expected utility falls to 10 E(u) = ()u($0) + ()u($40,000) = 0 + .5(20) = 10 The certain ine of $20,000 has utility of 16 If person must take new job, their utility will fall by 6 169。 2020 Pearson Education, Inc. Chapter 5 62 Risk Aversion and Ine Example (cont.): They can get 10 units of utility by taking a certain job paying $10,000 The risk premium, therefore, is $10,000 (. they would be willing to give up $10,000 of the $20,000 and have the same E(u) as the risky job 169。 2020 Pearson Education, Inc. Chapter 5 63 Risk Aversion and Ine The greater the variability, the more the person would be willing to pay to avoid the risk, and the larger the risk premium 169。 2020 Pearson Education, Inc. Chapter 5 64 Risk Aversion and Indifference Curves Can describe a person’s risk aversion using indifference curves that relate expected ine to variability of ine (standard deviation) Since risk is undesirable, greater risk requires greater expected ine to make the person equally well off Indifference curves are therefore upward sloping 169。 2020 Pearson Education, Inc. Chapter 5 65 Risk Aversion and Indifference Curves Standard Deviation of Ine Expected Ine Highly Risk Averse: An increase in standard deviation requires a large increase in ine to maintain satisfaction. U1 U2 U3 169。 2020 Pearson Education, Inc. Chapter 5 66 Risk Aversion and Indifference Curves Standard Deviation of Ine Expected Ine Slightly Risk Averse: A large increase in standard deviation requires only a small increase in ine to maintain satisfaction. U1 U2 U3 169。 2020 Pearson Education, Inc. Chapter 5 67 Reducing Risk Consumers are generally risk averse and therefore want to reduce risk Three ways consumers attempt to reduce risk are: 1. Diversification 2. Insurance 3. Obtaining more information 169。 2020 Pearson Education, Inc. Chapter 5 68 Reducing Risk Diversification Reducing risk by allocating resources to a variety of activities whose outes are not closely related Example: Suppose a firm has a choice of selling air conditioners, heaters, or both The probability of it being hot or cold is How does a firm decide what to sell? 169。 2020 Pearson Education, Inc. Chapter 5 69。微观经济学uncertaintyandconsumerbehavior(编辑修改稿)
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