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

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

On january 1, 2017, fisher corporation purchased 40 percent (90,000 shares) of the common stock of bowden, inc. for $980,000 in cash and began to use the equity method for the investment. the price paid represented a $48,000 payment in excess of the book value of fisher's share of bowden's underlying net assets. fisher was willing to make this extra payment because of a recently developed patent held by bowden with a 15-year remaining life. all other assets were considered appropriately valued on bowden's books. bowden declares and pays a $90,000 cash dividend to its stockholders each year on september 15. bowden reported net income of $400,000 in 2017 and $348,000 in 2018. each income figure was earned evenly throughout its respective year. on july 1, 2018, fisher sold 10 percent (22,500 shares) of bowden's outstanding shares for $338,000 in cash. although it sold this interest, fisher maintained the ability to significantly influence bowden's decision-making process. prepare the journal entries for fisher for the years of 2017 and 2018. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your final answers to the nearest whole dollar.)

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?