Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows:
Stock Expected Return Standard Deviation
A 14% 5%
B 15% 13%
Correlation = –1
(a) Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.)

At cooly cola, we are testing the appeal of our new diet one cola. in a taste test of 250 randomly chosen cola drinkers, 200 consumers preferred diet one cola to the leading brand. assuming that the sample were large enough, the large-sample 95% confidence interval for the population proportion of cola drinkers that prefer diet one cola would be:

Last year ann arbor corp had $155,000 of assets, $305,000 of sales, $20,000 of net income, and a debt-to-total-assets ratio of 37.5%. the new cfo believes a new computer program will enable it to reduce costs and thus raise net income to $33,000. assets, sales, and the debt ratio would not be affected. by how much would the cost reduction improve the roe? a. 11.51%b. 12.11%c. 12.75%d. 13.42%e. 14.09%

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?