For questions (b), (c), and (d), we assume that investors invest in the risk-free asset and 4 risky assets (PG, Microsoft, BAC, and Exxon). (b) Find the optimal investment portfolio in the risky assets. What are the mean and s. d. of the returns of this portfolio?

Suppose an economist believes that the price level in the economy is directly related to the money supply, or the amount of money circulating in the economy. the economist proposes the following relationship: p=a x m - p=price level - m=money supply - a=a composite of other factors, including real gdp, that change very slowly over time. how might an economist gather empirical data to test the proposed relationship between money and the price level? an economist would persuade the federal reserve to change the money supply to various levels, and observe the resulting changes in the price level. unlike researchers in the hard sciences, economists cannot study complex relationships using data. economists do not usually develop theoretical models of the economy but only analyze summary statistics about the current state of the economy. an economist would look for data on past changes in the money supply, and note the resulting changes in the price level

Which statement best explains the relationship between points a and b? a. consumption reaches its highest point, and then supply begins to fall. b. inflation reaches its highest point, and then the economy begins to expand. c. production reaches its highest point, and then the economy begins to contract. d. unemployment reaches its highest point, and then inflation begins to decrease.

The following transactions occurred during july: received $1,000 cash for services provided to a customer during july. received $4,000 cash investment from bob johnson, the owner of the business received $850 from a customer in partial payment of his account receivable which arose from sales in june. provided services to a customer on credit, $475. borrowed $7,000 from the bank by signing a promissory note. received $1,350 cash from a customer for services to be rendered next year. what was the amount of revenue for july?