Consider the following information: Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .58 .08 .17 .37 Bust .42 .14 .06 −.04 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.) b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e. g., .161616.)

Your goal is to have $2,000,000. you have a total of $40,000 today. you invest the $40,000 and want to add to it each month. at 10% annual interest, how much do you need to invest each month in order to bring the total up to $2,000,000 30 years from now?

Synovec co. is growing quickly. dividends are expected to grow at a rate of 24 percent for the next three years, with the growth rate falling off to a constant 7 percent thereafter. if the required return is 11 percent, and the company just paid a dividend of $2.05, what is the current share price? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.