Standand devition of the Market I 1. What is the epected etum ona portfelio comprised of S000 of Suck A and 54000 of Sock B7 2. Wht is the Stundand deviation of this portilio 3. Does it make sense to conbine these two in this way? Pease explain why. ition
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- The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?Please no written by hand A bank has two $10 million one-year loans. Possible outcomes are as follows: Outcome Neither loan defaults Loan 1 defaults, loan 2 does not default Loan 2 defaults, loan 1 does not default Both loans default Probablity 97.5% 1.25% 1.25% 0.00%.If a default occurs, losses can use normal distribution with mean $5 million and standard deviation $1 million to approximate. If a loan does not default, a profit of $0.2 million is made. (a). What is the VaR for of each project when the confidence level (a). What is the VaR for of each project when the confidence level is 99%? (b). What is the expected shortfall of each project when the confidence level is 99%? (c). What is the VaR for a portfolio consisting of the two investments when the confidence level is 99%?) (d). What is the expected shortfall for a portfolio consisting of the two investments when the confidence level is 99%?Determine whether or not to stock a large supply of steel. There is uncertainty in the price of steel. Based on past history the following data are available Price (future) Prob (Price) PW if stocked PW if not stocked High 0.3 100000 0 Medium 0.5 -10000 0 Low 0.2 -50000 0 What is the probability that stocking steel will result in a negative present worth (PW)?
- Your firm uses a continuous review system and operates52 weeks per year. One of the SKUs has the followingcharacteristics.Demand 1D2 = 20,000 units>yearOrdering cost 1S2 = $40>orderHolding cost 1H2 = $2>unit>yearLead time 1L2 = 2 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation ofweekly demand of 100 units.Current on-hand inventory is 1,040 units, with no scheduledreceipts and no backorders.a. Calculate the item’s EOQ. What is the average time, inweeks, between orders?b. Find the safety stock and reorder point that provide a95 percent cycle-service level c. For these policies, what are the annual costs of (i) holdingthe cycle inventory and (ii) placing orders?d. A withdrawal of 15 units just occurred. Is it time to reor-der? If so, how much should be ordered?The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?
- After analyzing the costs of various options for obtaining brackets, Ross White (see Problems 6-27 through 6-29) recognizes that although he knows that the lead time is 2 days and the demand per day averages 10 units, the demand during the lead time often varies. Ross has kept very careful records and has determined that lead time demand is normally distributed with a standard deviation of 1.5 units. What Z value would be appropriate for a 98% service level? What safety stock should Ross maintain if he wants a 98% service level? What is the adjusted ROP for the brackets? What is the annual holding cost for the safety stock if the annual holding cost per unit is $1.50?53. The annual demand for Prizdol, a prescription drugmanufactured and marketed by the NuFeel Company,is normally distributed with mean 50,000 and standarddeviation 12,000. Assume that demand during each ofthe next 10 years is an independent random numberfrom this distribution. NuFeel needs to determine howlarge a Prizdol plant to build to maximize its expectedprofit over the next 10 years. If the company builds aplant that can produce x units of Prizdol per year, it willcost $16 for each of these x units. NuFeel will produceonly the amount demanded each year, and each unit ofPrizdol produced will sell for $3.70. Each unit of Prizdol produced incurs a variable production cost of $0.20.It costs $0.40 per year to operate a unit of capacity.a. Among the capacity levels of 30,000, 35,000,40,000, 45,000, 50,000, 55,000, and 60,000 unitsper year, which level maximizes expected profit?Use simulation to answer this question.b. Using the capacity from your answer to part a,NuFeel can be 95%…The owner of a ski resort is considering installing a new ski lift that will cost $900,000. Expenses for operating andmaintaining the lift are estimated to be $1,500 per day when operating. The U.S. Weather Service estimates thatthere is a 60% probability of 80 days of skiing weather per year, a 30% probability of 100 days per year, and a 10% probability of 120 days per year. The operators of the resort estimate that during the first 80 days of adequate snow in a season, an average of 500 people will use the lift each day, at a fee of $10 each. If 20 additional days are available, the lift will be used by only 400 people per day during the extra period; and if 20 more days of skiing are available, only 300 people per day will use the lift during those days. The owners wish to recover any invested capital within five years and want at least a 25% per year rate of return before taxes. Based on a before-tax analysis, should the lift be installed?
- a. If the decision maker knows nothing about the probabilities of the fourstates of nature, what is the recommended decision using:i. the optimistic approachii. the conservative approachiii. the minimax regret approachiv. the Laplace methodYou’re the manager of global opportunities for a U.S. Manufacturer, who is considering expanding sales into Asia. Your market research has identified the market potential in Malaysia, Philippines, and Singapore as described next: Success Level Malaysia Philippines Singapore Probability Units Probability Units Probability Units Big 0.3 1,200,000 0.3 1,000,000 0.7 700,000 Mediocre 0.3 600,000 0.5 320,000 0.2 400,000 Failure 0.4 0 0.2 0 0.1 0 The product sells for $10 and has unit costs of $8. If you can enter only one market, and the cost of entering the market (regardless of…‘Lottery A’ refers to a lottery ticket that pays $2,000 with a probability of 0.3, $8,000 with a probability of 0.4, $12,000 with a probability of 0.2, and $18,000 with a probability of 0.1.What is the expected value of Lottery A?A) $7200B) $8000C) $9000D) $7900E) None of the above
