2. Consider a bidding problem similar to that presented in class. You can still either bid high or low on either the dam or highway project, or you can not prepare a bid. However, the probabilities and outcomes are given in Tables 2.1 and 2.2. Table 2.1 Probabilities and profits of bid results Project Probability Conditional Profit [$] Result Type of Bid Bid Upon of Bid of Result High Win 0.20 Table 2.2 Lose 0.80 -50,000 Dam Low Win 0.40 Table 2.2 Lose 0.60 -50,000 High Win 0.10 Table 2.2 Lose 0.90 -100,000 Highway Low Win 0.20 Table 2.2 Lose 0.80 -100,000 Table 2.2 Outcome and probabilities, conditional on winning the bid Probability Project Possible of Outcome Bid Type of Profit [$], if Bid is Upon Bid Outcome Won 600,000 0.60 High High -100,000 0.40 Dam Low 300,000 0.70 Low -200,000 0.30 1,200,000 0.60 High High -200,000 0.40 Highway Low 600,000 0.70 Low -300,000 0.30 a(i) Consider that you want to maximize the Expected Value (EV) of profit. Draw the decision tree and “work the problem" on the decision tree (i.e., indicate the various EV values in “boxes" at the appropriate places).

The buyer and seller are scheduled to close the sales transaction on Wednesday, June 14. The taxes for the year were $3,500 and were paid in arrears. How would this appear on a closing statement? O A credit and debit to the seller. O A credit to the buyer and a debit to the seller. O A credit to the seller and a debit to the buver. • A credit and debit to the buyer.

Jose wants to set up a 10 year GRAT and does not want to have a taxable gift. He wants to transfer $1,236,021 million to the GRAT on 9/31/2020 when the 7520 interest rate is .4%. What annuity payment does he need to receive for there to be no taxable gift?

7. Three bidders have a private valuation drawn from a uniform distribution on [0,30] for a single item. The valuations are 10, 15 and 20 for bidders 1, 2 and 3 respectively. a) What are the bidders' equilibrium strategies in a second price auction? b) Show that for bidder 2 no deviation from his strategy in a) would be profitable. c) Who wins the auction and how much do they pay? d) If instead the seller uses a first price sealed bid auction, what are the bidders' equilibrium strategies?

D4.

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This is the same payoff table used in questions 2 and 3. Below is a payoff table that lists four mortgage options: Decision 1-year ARM 3-year ARM 5-year Arm 30-year fixed Rates Rise $66,645 $62,857 $55,895 $52,276 Outcomes Rates Stable $43,650 $47,698 $50,894 $52,276 4) Which of the following decisions has the best average payoff? CA. 3-year ARM B. 1-year ARM CC. 5-year ARM CD. 30-year Fixed Rates Fall $38,560 $42,726 $48,134 $52,276

An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza. See data in the table which shows the gross revenues for the oil well that is found. Decision Drill $0 Abandon $0 Probability 0.3 Dry (D) Seismic Results No structure(N) Open(0) Closed (C) Drilling costs 40M. The company can take a series of seismic soundings (at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure". The reliability of the testing company is as follows that is, this reflects their historical performance. Reasonably good(G) $85 $0 0.3 Note that if the test result is "no structure" the company can sell the land to a developer for 50 m. otherwise (for the other results) it can abandon the drilling idea at no benefit to itself. Dry(d) 0.7 0.2 Bonanza(B) 0.1 $200 m SO 0.4 Conditional…

(d) The company only has 4 workstations available. If it only operates its 4stations, how many weeks does it need to meet the production requirements?(e) The company has other contracts it needs to satisfy. Working on themugs more than 4 weeks means it will have to cancel another contract,incurring a penalty of $4,500. Each new workstation costs the company$2,500. What should the company do: cancel the contract or buy therequired workstations?