An investor's utility function for the payoff of a project is U(x)-x0.4. The return of a project depends on the toss of a coin, with R(Heads)-26 and R(Tails)-74. Please find the risk premium of the return relative to the expected return. (Hints/Example]
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- QUESTION 2: Risk Analysis A company is considering manufacturing 2 mutually exclusive products A and B. Product A is a watch band specifically designed to fit on watches manufactured by the firm only. Product B is a watch band that is designed to be adapted to a variety of watches including those produced by competitors. Expected investment is $100,000 for each of the products. Expected cash flows are $20,000 per year for product A. The expected value for B is $23,000 for 8 years also. The coefficient of variation (CV) for A is 1.0 and for B is 1.5. Because of high risk attached to B the risk adjustment to B is k=15% and for product A, k=10%. Which project would you recommend to the company for investment? (Show ALL your workings)You are a hotel manager and you are considering four projects that yield different payoffs, depending upon whether there is an economic boom or a recession. The potential payoffs and corresponding payoffs are summarized in the accompanying table. Project Boom (50%) Recession (50%) A $ 20 −$ 10 B −$ 10 $ 20 C $ 30 −$ 30 D $ 50 −$ 50 The variance in the returns of project D is Multiple Choice 1,600. 225. 900. 0.A risk-averse manager is considering a project that will cost £100. There is a 10 percent chance the project will generate revenues of £100, an 80 percent chance it will yield revenues of £50, and a 10 percent chance it will yield revenues of £500. Should the manager adopt the project? Explain. What will a risk-neutral and risk-loving manager do in the same situation?
- Reactors `R’ Us operates a nuclear power plant in Potsdam.In the event of reactor failure, there would be major damages to the North Country. The company can reduce the probability of failure through proper maintenance of the facility. The marginal cost of maintenance is increasing in the amount of maintenance done (and thus decreasing in the probability of an accident). We can write this marginal cost curve as MAC=2-10p (where 0<p<1, and represents the probability of a failure over a 50 year period). The marginal expected damages are an increasing function of the probability of an accident so that MD=2.2+10p. Provide a graph or graphs to illustrate your analysis/answers to the following questions. A. What is the efficient probability of reactor failure? B. If “Reactors ‘R’ Us” thinks that, in the event of reactor failure, they will NOT be found liable for damages, what probability of failure will they choose? C. If “Reactors ‘R’ Us” thinks that, in the…A major proposed industry in the future is the provision of global satellite wifi. However, the actual willingness to pay for such a service is unknown. Assume there's a 40% chance that there are 1 billion people willing to pay $100/year for a service that would cost $60/year to provide and a 60% chance that those people would be willing to pay $10/year for a service that would cost $60/year to provide. Assume that the enterprise involved with this risky industry has an interest rate or discount rate of 20%.a. What is the expected value, annually, of providing this service?b. Assume that you could spend $75 billion to launch a testbed of the program, that could then either be scrapped if the willingness to pay were $10 or continue at normal cost afterward (for simplicity, assume that the program will last forever and generate constant annual returns if it is continued) if the willingness to pay were $100. What is the net expected value of this testbed?In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000). The table also shows the probability of earning that profit. The negative value indicates a loss. x f(x) x = profit -100 0.01 f(x) = probability -200 0.04 0 100 0.26 200 0.54 300 0.05 400 0.02 8 What is the expected value of profit? a $136 b $142 c $148 d $154
- A risk-averse manager is considering two projects. The first project involves expanding the market for bologna; the second involves expanding the market for caviar. There is a 10 percent chance of a recession and a 90 percent chance of an economic boom. During a boom, the bologna project will lose $10,000, whereas the caviar project will earn $20,000. During a recession, the bologna project will earn $12,000 and the caviar project will lose $8,000. If the alternative is earning $3,000 on a safe asset (say, a Treasury bill), what should the manager do? Why?1. Individual Problems 18-1 You hold an oral, or English, auction among three bidders. You estimate that each bidder has a value of either $88 or $110 for the item, and you attach probabilities to each value of 50%. The winning bidder must pay a price equal to the second highest bid. The following table lists the eight possible combinations for bidder values. Each combination is equally likely to occur. On the following table, indicate the price paid by the winning bidder. Combination Number Bidder 1 Value Bidder 2 Value Bidder 3 Value Probability Price ($) ($) ($) 1 $88 $88 $88 0.125 2 $88 $88 $110 0.125 3 $88 $110 $88 0.125 4 $88 $110 $110 0.125 5 $110 $88 $88 0.125 6 $110 $88 $110 0.125 7 $110 $110 $88 0.125 8 $110 $110 $110 0.125 The expected price paid is . Suppose that bidders 1 and 2 collude and would be willing to bid up to a maximum of their values, but the two bidders…Q1. A real-estate investor has the opportunity to purchase a small apartment complex. The apartment complex costs $4 million and is expected to generate net revenue (net after all operating and finance costs) of $60,000 per month. Of course, the revenue could vary because the occupancy rate is uncertain. Considering the uncertainty, the revenue could vary from a low of − $10,000 to a high of $100,000 per month. Assume that the investor’ s objective is to maximize the value of the investment at the end of 10 years.a) Do you think the investor should buy the apartment complex or invest the $4 million in a 10-year certificate of deposit earning 9.5%? Why? b)b) The city council is currently considering an application to rezone a nearby empty parcel of land. The owner of that land wants to build a small electronics-assembly plant. The proposed plant does not really conflict with the city’s overall land use plan, but it may have a substantial long-term negative effect on the value of the…
- 4.7 Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows: Demand Staffing Options High Medium Low Own staff 650 650 600 Outside vendor 900 600 300 Combination 800 650 500 If the demand probabilities are 0.2, 0.5, and 0.3, and the table below shows the total cost of the different options, construct a risk profile for the optimal decision in the table. Option Total Cost Own Staff 635 Outside Vendor 570 Combination 635Define the term Aggregating Risk over time?Find the expected value assuming the risk factor is 30 % and the interest rate 12%, if you will receive $20,000 one year from today.please show work