Consider two perfectly negatively correlated risky securities, K and L. K has an expected rate of return of 13% and a standard deviation of 19%. L has an expected rate of return of 10% and a standard deviation of 16%. The weights of K and L in the global minimum variance portfolio are and , respectively.

You wish to buy a cabin in 15 years. today, the cabin costs $150,000. you believe the price of the cabin will inflate at 4% annually. you want to invest a single amount of money (lump sum) today and have the money grow to equal the future purchase price of the cabin 15 years from now. if you can earn 10% annually on your investments, how much do you need to invest now, in order to be able to purchase the cabin?

"in my opinion, we ought to stop making our own drums and accept that outside supplier's offer," said wim niewindt, managing director of antilles refining, n.v., of aruba. "at a price of $21 per drum, we would be paying $4.70 less than it costs us to manufacture the drums in our own plant. since we use 70,000 drums a year, that would be an annual cost savings of $329,000." antilles refining's current cost to manufacture one drum is given below (based on 70,000 drums per year):

You are working on a bid to build two city parks a year for the next three years. this project requires the purchase of $249,000 of equipment that will be depreciated using straight-line depreciation to a zero book value over the three-year project life. ignore bonus depreciation. the equipment can be sold at the end of the project for $115,000. you will also need $18.000 in net working capital for the duration of the project. the fixed costs will be $37000 a year and the variable costs will be $148,000 per park. your required rate of return is 14 percent and your tax rate is 21 percent. what is the minimal amount you should bid per park? (round your answer to the nearest $100) (a) $214,300 (b) $214,100 (c) $212,500 (d) $208,200 (e) $208,400