If the pure expectations theory holds, what does the market expect will be the intrest rate on one-year securities, four years from now (1 year maturity yield is 6.0%; 2 year maturity yield is 6.1%; 3 year maturity yield is 6.2%; 4 year maturity yield is 6.5 %; 5 year maturity yield is 6.5%)? (hints: draw the time line and then calculate the interest rate.

Consider a two-firm industry. firm 1 (the incumbent) chooses a level of output q1. firm 2 (the potential entrant) observes q1 and then chooses its level of output q2. the demand for the product is p = 100 - q, where q is the total output sold by the two firms which equals q1 +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of q1 and q2 keeping in mind that firm 1 chooses q1 first and firm 2 observes q1 and chooses its q2. find the profits of the two firms-? 1 and ? 2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of q1 would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of q1? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f > 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q1, denoted by q1b, as a function of f. next, derive the expression for firm 1

The revenues of a company increased by 39% in year one and decreased 22% in year two. what is the overall change over the two-year period?

You invest all the money you earned during your summer sales job (a total of $45,000) into the stock of a company that produces fat and carb-free cheetos. the company stock is expected to earn a 14% annual return; however, 5 years later it is only worth $20,000. turns out there wasn't as much demand for fat and carb-free cheetos as you had hoped. what is the annual rate of return on your investment?