A company issues 9%, 7-year bonds with a par value of $260,000 on January 1 at a price of $273,732, when the market rate of interest was 8%. The bonds pay interest semiannually. The amount of each semiannual interest payment is:

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Andy owns islander surfboard inc. in the past, andy has always given his employees bonuses during the holidays if they reached certain sales goals. this year, even though the company is thriving, he decided to cut bonuses from employees and award them to himself instead. what ethical theory of leadership is andy following?