You want your portfolio beta to be 0.95. currently, your portfolio consists of $4,000 invested in stock a with a beta of 1.47 and $3,000 in stock b with a beta of 0.54. you have another $9,000 to invest and want to divide it between an asset with a beta of 1.74 and a risk-free asset. how much should you invest in the risk-free asset?

Needs 83,000 optical switches next year (assume same relevant range). by outsourcing them, worldsystems can use its idle facilities to manufacture another product that will contribute $ 140,000 to operating income, but none of the fixed costs will be avoidable. should worldsystems make or buy the switches? show your analysis.

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

What is the difference between secure bonds and naked bonds?