In order to pay for school, you borrow $22,000 at 12 percent/year compounded monthly. You do not pay back any of it until the end of the first month following year 4, and you intend to have it paid off by the end of year 7. a. What are your monthly payments during years 5, 6, and 7? b. How much interest is in the sixtieth month’s payment? How much principal? c. How much interest is in the sixty-fourth month’s payment? How much principal? d. How much interest is in the sixty-eighth month’s payment? How much principal? e. You are doing very well after graduation and decide to pay off the loan in full at the time you make your twentyfourth payment in the seventy-second month. For how much do you write the check, including the twentyfourth payment?

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 = $

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.

The purchasing agent for a company that assembles and sells air-conditioning equipment in a latin american country noted that the cost of compressors has increased significantly each time they have been reordered. the company uses an eoq model to determine order size. what are the implications of this price escalation with respect to order size? what factors other than price must be taken into consideration?