Brian Lee is 30 years and wants to retire when he is 65. So far he has saved (1) $5,850 in an IRA account in which his money is earning 8.3 percent annually and (2) $4,320 in a money market account in which he is earning 5.25 percent annually. Brian wants to have $1 million when he retires. Starting next year, he plans to invest the same amount of money every year until he retires in a mutual fund in which he expects to earn 8.22 percent annually. How much will Brian have to invest every year to achieve his savings goal?

How can a poor housing market put home buyers in a financially unstable position? a. changing property values means it’s easier to find homes with low rental costs. b. when the home value decreases, property taxes and insurance costs increase. c. houses are valued lower than their purchase prices, so the home equity decreases. d. home buyers lose all tax benefits and tax incentives when the housing market goes down. e. mortgage payments can increase even though the home value decreases.

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms. a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Why has the free enterprise system been modified to include some government intervention?