Derive the standard deviation of the returns on a portfolio that is invested in stocks x, y, and z , where twenty percent of the portfolio is invested in stock x and 35 percent is invested in Stock z. State of Economy Probability of State of Economy Rate of Return if State Occurs Stock x Stock y Stock z Boom .04 .17 .09 .09 Normal .81 .08 .06 .08 Recession .15 − .24 .02 − .13 1. 7.72 percent 2. 6.31 percent 3. 7.38 percent 4. 6.49 percent 5. 5.65 percent

Suppose that: 1. malaysia requires 1 hour of labor to produce 1 pound of rice and 2 hours of labor to produce 1 pencil; 2. indonesia requires 2 hours of labor to produce 1 pound of rice and 4 hours of labor to produce 1 pencil; 3. each country has 10,000 hours of labor to allocate between the production of rice and pencils; and 4. in autarky, malaysia consumes 5,000 pounds of rice and 2,500 pencils. which country has an absolute advantage in rice production? in pencil production? which country has a comparative advantage in rice production? in pencil production? will trade between the two countries be mutually beneficial?

At april 1, 2019, the food and drug administration is in the process of investigating allegations of false marketing claims by hulkly muscle supplements. the fda has not yet proposed a penalty assessment. hulkly’s fiscal year ends on december 31, 2018. the company’s financial statements are issued in april 2019. required: for each of the following scenarios, determine the appropriate way to report the situation. 1. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 2. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is probable. 3. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 4. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is probable.

Why is efficiency an important economic goal?