Which of the following statement(s) is(are) true regarding the variance of a portfolio of two risky securities? I) The higher the coefficient of correlation between securities, the greater the reduction in the portfolio variance. II) There is a linear relationship between the securities' coefficient of correlation and the portfolio variance. III) The degree to which the portfolio variance is reduced depends on the degree of correlation between securities.

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.

Randall's, inc. has 20,000 shares of stock outstanding with a par value of $1.00 per share. the market value is $12 per share. the balance sheet shows $42,000 in the capital in excess of par account, $20,000 in the common stock account, and $50,500 in the retained earnings account. the firm just announced a 5 percent (small) stock dividend. what will the balance in the retained earnings account be after the dividend?

Brandt enterprises is considering a new project that has a cost of $1,000,000, and the cfo set up the following simple decision tree to show its three most likely scenarios. the firm could arrange with its work force and suppliers to cease operations at the end of year 1 should it choose to do so, but to obtain this abandonment option, it would have to make a payment to those parties. how much is the option to abandon worth to the firm?