Which of the following statements is false?
"a) the tangent portfolio is efficient and that, once we include the risk-free investment, all efficient portfolios are combinations of the risk-free investment and the tangent portfolio.
b) the optimal portfolio of risky investments depends on how conservative or aggressive the investor is.
c) by combining the efficient portfolio with the risk-free investment, an investor will earn the highest possible expected return for any level of volatility her or she is willing to bear.
d) the efficient portfolio is the tangent portfolio, the portfolio with the highest sharpe ratio in the economy."

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing company: work in process inventory $0 raw materials inventory $ 28 comma 100 finished goods inventory $ 40 comma 600 additional data: 1. actual manufacturing overhead for january amounted to $ 65 comma 000. 2. total direct labor cost for january was $ 63 comma 400. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no. 151, for which total direct labor charges were $ 5 comma 200 (1 comma 300 direct labor hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 700. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 300. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for january?

Which statement best explains the relationship between points a and b? a. consumption reaches its highest point, and then supply begins to fall. b. inflation reaches its highest point, and then the economy begins to expand. c. production reaches its highest point, and then the economy begins to contract. d. unemployment reaches its highest point, and then inflation begins to decrease.

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.