Portfolio Risk and Return. Suppose that the S&P 500, with a beta of 1.0, has an expected return of 10% and T-bills provide a risk-free return of 4%.

a) How would you construct a portfolio from these two assets with an expected return of 8%?
Specifically, what will be the weights in the S&P 500 versus the T-bills?
b) How would you construct a portfolio from these two assets with a beta of 0.4?
c) Find the risk premium of the portfolio in (a) and (b), and show that they are proportional to their betas.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.

You have just been hired as a brand manager at kelsey-white, an american multinational consumer goods company. recently the firm invested in the development of k-w vision, a series of systems and processes that allow the use of up-to-date data and advanced analytics to drive informed decision making about k-w brands. it is 2018. the system is populated with 3 years of historical data. as brand manager for k-w’s blue laundry detergent, you are tasked to lead the brand's turnaround. use the vision platform to to develop your strategy and grow blue’s market share over the next 4 years.

Royal motor corp. generates a major portion of its revenues by manufacturing luxury sports cars. however, the company also derives an insignificant percent of its annual revenues by selling its sports merchandise that includes apparel, shoes, and other accessories under the same brand name. which of the following terms best describes royal motor corp.? a. aconglomerate b. a subsidiary c. adominant-businessfirm d. a single-business firm