What is the present value of a $1,000 per year annuity for five years at an interest rate of 12 percent? Assume the first payment starts in one year.

Stock a has a beta of 1.2 and a standard deviation of 20%. stock b has a beta of 0.8 and a standard deviation of 25%. portfolio p has $200,000 consisting of $100,000 invested in stock a and $100,000 in stock b. which of the following statements is correct? (assume that the stocks are in equilibrium.) (a) stock b has a higher required rate of return than stock a. (b) portfolio p has a standard deviation of 22.5%. (c) portfolio p has a beta equal to 1.0. (d) more information is needed to determine the portfolio's beta. (e) stock a's returns are less highly correlated with the returns on most other stocks than are b's returns.

Within the relevant range, if there is a change in the level of the cost driver, then a. total fixed costs will remain the same and total variable costs will change b. total fixed costs will change and total variable costs will remain the same c. total fixed costs and total variable costs will change d. total fixed costs and total variable costs will remain the same

Lead time for one of your fastest-moving products is 20 days. demand during this period averages 90 units per day.a) what would be an appropriate reorder point? ) how does your answer change if demand during lead time doubles? ) how does your answer change if demand during lead time drops in half?