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- In Example 11.1, the possible profits vary from negative to positive for each of the 10 possible bids examined. a. For each of these, use @RISKs RISKTARGET function to find the probability that Millers profit is positive. Do you believe these results should have any bearing on Millers choice of bid? b. Use @RISKs RISKPERCENTILE function to find the 10th percentile for each of these bids. Can you explain why the percentiles have the values you obtain?Suppose you are going to receive $20,000 per year forfive years. The appropriate interest rate is 7 percent.a. What is the present value of the payments if they are in the form of an ordinaryannuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future valueif the payments are an ordinary annuity? What if the payments are an annuitydue?c. Which has the highest present value, the ordinary annuity or annuity due? Whichhas the highest future value? Will this always be true?Rollo Megabux has $1 million to invest in stocks orbonds. The percentage yield on each investment during thecoming year depends on whether the economy has a goodor a bad year (see Table 17). It is equally likely that theeconomy will have a good or a bad year.a If Rollo is risk-neutral, how should he invest hismoney?b For $10,000, Rollo can hire a consulting firm toforecast the state of the economy. The consulting firm’sforecasts have the following properties:P(good forecast|economy good) .80P(good forecast|economy bad) .20Should Rollo hire the consulting firm? What are EVSIand EVPI? Economy EconomyHas Good Has BadYear YearYield on stocks 22% 10%Yield on bonds 16% 14%
- Michelle owns a house in which she keeps valuables worth 100,000 which can get stolen with probability 1%. She can purchase coverage C of the amount C ∈ [0; 100,000] at premium π = 0.05 dollars for each dollar covered. Her Bernouilli utility function is u(w) = ln(w). Assume she has no other assets. 1. Set up her maximization problem. 2. How much insurance will she choose to buy? 3. How much profits does the insurance company earn on insuring Michelle? 4. Does the fact that the insurance company earn profits mean that Michelle is worse off com-pared to the situation in which she is not insured? Explain what is happening. 5. How much insurance will she buy if insurance companies charge an actuarially fair insurance rate?1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you? 2. Suppose that a manager has a choice between the following two mathematical models of a given situation: (a)a relatively simple model that is a reasonable approximation of the real situation, and (b)a thorough and complex model that is the most accurate mathematical representation of the real situation possible. Why might the model described in part (a) be preferred by the manager?You have recently won the super jackpot in the WashingtonState Lottery. On reading the fine print, you discover that you have the following twooptions:a. You will receive 31 annual payments of $250,000, with the first payment beingdelivered today. The income will be taxed at a rate of 28 percent. Taxes will bewithheld when the checks are issued.b. You will receive $530,000 now, and you will not have to pay taxes on this amount.In addition, beginning one year from today, you will receive $200,000 each yearfor 30 years. The cash flows from this annuity will be taxed at 28 percent.Using a discount rate of 7 percent, which option should you select?
- A. Write a document with the following information: 1. What do you expect your job to pay when you start? 2. What benefits are musts for you? 3. What benefits would you like to have even though they are not musts? 4. Include the graph you generate in step B below. B. Create a spreadsheet and a graph of life vs funds For each year of your remaining life specify the amount you plan to save/invest/withdraw that year and how much you expect that amount to increase during the year (base on actual data – typical savings interest rate, typical stock market interest rate, typical CDs, typical…). Calculate how much your funds will increase/decrease over your life and create a life (x-axis) vs funds (y-axis) plot.A recently hired chief executive officer wants to reduce future production costs to improve the company's earnings, thereby increasingthe value of the company's stock. The plan is to invest $76,000 now and $58,000 in each of the next 6 years to improveproductivity. By how much must annual costs decrease in years 7 through 12 to recover the investment plus a return of 13% per year? The annual cost decreases by $....#17FAVORABLE UNFAVORABLEMARKET MARKETEQUIPMENT ( $) ($)Sub 100 300,000 –200,000Oiler J 250,000 –100,000Texan 75,000 –18,000For example, if Ken purchases a Sub 100 and ifthere is a favorable market, he will realize a profitof $300,000. On the other hand, if the market is unfavorable, Ken will suffer a loss of $200,000. ButKen has always been a very optimistic decisionmaker.(a) What type of decision is Ken facing?(b) What decision criterion should he use?(c) What alternative is best? #18Although Ken Brown (discussed in Problem 3-17) is the principal owner of Brown Oil, his brother Bob iscredited with making the company a financial success. Bob is vice president of finance. Bob attributeshis success to his pessimistic attitude about business and the oil industry. Given the information fromProblem 3-17, it is likely that Bob will arrive at a different decision. What decision criterion should Bobuse, and what alternative…
- You are the owner of Caché, a chain of women's clothing boutiques. Your state has a sales tax of 7%, and your city has an additional sales tax of 1.5%. Each quarter you are responsible for making these tax deposits to the city and state. Last quarter your stores had total revenue, including sales tax, of $488,250. a) How much of this revenue was sales (in $) and how much was sales tax (in $)? sales sales tax b) How much sales tax (in $) should be sent to the city? c)How much sales tax (in $) should be sent to the state?Forrester and Cohen is a small accounting firm, managedby Joseph Cohen since the retirement in December of hispartner Brad Forrester. Cohen and his three CPAs can togetherbill 640 hours per month. When Cohen or another accountantbills more than 160 hours per month, he or she gets an additional"overtime" pay of$62.50 for each of the extra hours: this is aboveand beyond the $5,000 salary each draws during the month.(Cohen draws the same base pay as his employees.) Cohenstrongly discourages any CPA from working (billing) more than240 hours in any given month. The demand for billable hours forthe firm over the next 6 months is estimated below: Cohen has an agreement with Forrester, his former partner,to help out during the busy tax season, if needed, for an hourly feeof $125. Cohen will not even consider laying off one of his colleaguesin the case of a slow economy. He could, however,…Consider an investment project with the following cash flows: N Cash Flow 0 -$5,0001 $02 $4,8403 $1,331ComputcthelRRforthisinvestment.lsthisprojectacceptablcatMARR = 10%?