Which of the following statements are correct concerning present value? I. The present value interest factor for a single sum is always equal to or less than 1. II. The lower the discount rate for a given year, the smaller the present value interest factor. III. The further in time, the smaller the present value interest factor. IV. The present value is equal to the future value only when the stated interest rate is 1%.

The total value of your portfolio is $10,000: $3,000 of it is invested in stock a and the remainder invested in stock b. stock a has a beta of 0.8; stock b has a beta of 1.2. the risk premium on the market portfolio is 8%; the risk-free rate is 2%. additional information on stocks a and b is provided below. return in each state state probability of state stock a stock b excellent 15% 15% 5% normal 50% 9% 7% poor 35% -15% 10% what are each stock’s expected return and the standard deviation? what are the expected return and the standard deviation of your portfolio? what is the beta of your portfolio? using capm, what is the expected return on the portfolio? given your answer above, would you buy, sell, or hold the portfolio?

Spartan credit bank is offering 7.5 percent compounded daily on its savings accounts. you deposit $5,900 today. a. how much will you have in the account in 4 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) b. how much will you have in the account in 12 years? (use 365 days a year. do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) c. how much will you have in the account in 19 years?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.