A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)

Suppose that kenji, an economist from an am talk radio program, and lucia, an economist from a school of industrial relations, are arguing over health insurance. the following dialogue shows an excerpt from their debate: lucia: a popular topic for debate among politicians as well as economists is the idea of providing government assistance for health benefits. kenji: i think it is oppressive for the government to tax people who take care of themselves in order to pay for health insurance for those who are obese. lucia: i disagree. i think government funding of health insurance is useful to ensure basic fairness. the disagreement between these economists is most likely due to . despite their differences, with which proposition are two economists chosen at random most likely to agree? lawyers make up an excessive percentage of elected officials. minimum wage laws do more to harm low-skilled workers than them. tariffs and import quotas generally reduce economic welfare.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

What impact might an economic downturn have on a borrower’s fixed-rate mortgage? a. it might cause a borrower’s payments to go up. b. it might cause a borrower’s payments to go down. c. it has no impact because a fixed-rate mortgage cannot change. d. it has no impact because the economy does not affect interest rates.