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- You are considering a $500,000 investment in the fast-food industry and have narrowed your choice to either a McDonald's or a Penn Station East Coast Subs franchise. McDonald's indicates that, based on the location where you are proposing to open a new restaurant, there is a 25 percent probability that aggregate 10-year profits (net of the initial investment) will be $16 million, a 50 percent probability that profits will be $8 million, and a 25 percent probability that profits will be -$1.6 million. The aggregate 10-year profit projections (net of the initial investment) for a Penn Station East Coast Subs franchise is $48 million with a 2.5 percent probability, $8 million with a 95 percent probability, and -$48 million with a 2.5 percent probability. Considering both the risk and expected profitability of these two investment opportunities, which is the better investment? Explain carefully.The business manager decides to access the latest macroeconomic predictions from the Bank of England. This provides him with the following probabilities: Recession (15%), Low Growth (30%), Medium Growth (35%), and High Growth (20%). Which option is preferred according to the expected monetary value (EMV) criterion? What attitude to risk does this represent?Rob is considering a new marketing campaign to promote his new widgets. He currently buys his widgets for $40 and sells them for $100. His most recent sales for 2022 were 50,000 widgets. I he campaign is expensive and advertising and other costs of promotion will be $500,000; however, he believes the campaign will increase sales by 10% over his 2022 sales. Rob wonders if this campaign is a good investment and wants to calculate the return on his $500,000 marketing campaign. Using the space below, demonstrate how an ROl calculation could help Rob make the best decision.
- Guy Fieri has purchased a significant plot of land in Northwest Ohio for his newest venture: FlavorTownship. This hub for mind-boggling flavor and entertainment is a strictly for-profit operation. Guy would like to keep Flavor Township open all year-round, but due to Ohio weather the following are the probabilities of when it will be open: |- 30% chance it is open 300 days a year |- 55% chance it is open 325 days a year |- 15% chance it is open 350 days a year Flavor Township will expect to host 14,000 people each day that it is open and expects an average revenue of $45 per visitor. This paradigm-shifting landmark will cost $420,000,000 to start the investment and will require annual costs (food, employees, etc.) of $115,000,000. Every 3 years, Flavor Township will undergo necessary maintenance that will cost $22,000,000. If the expected life of Flavor Township is 15 years and a 16% return is expected, what is the expected NPV of this project?An investor allocates $30,000 and $50,000 to two assets (A1 and A2). These assets generate 5% and -4.5% rate of returns, respectively. She allocates the remaining 50% of her portfolio to an asset (A3), which provides 4.5% rate of return. Calculate the portfolio's rate of return.You are at a casino and there are three slot machines you can use to bet on. You must have a return of .5% of higher on what you are betting. Below is the expected returns for each slot machine under various scenarios. What combination of machines do you play to maximize your average return? Decision Variables Data Slot 1 100.0% Monday Tuesday Wednesda Average Slot 2 0.0% Slot #1 8% 4% 5% 5.667% Slot 3 0.0% Slot #2 2% -3% 3% 0.667% Slot #3 6% -2% 4% 2.667% Objective 5.7% Constraints 0.08 >= 0.5% 0.04 >= 0.5% 0.05 >= 0.5% 100.0% .: 100%
- You live in an area that has a possibility of incurring a massive earthquake, so you are considering buyingearthquake insurance on your home at an annual cost of $180. The probability of an earthquake damagingyour home during one year is 0.001. If this happens, you estimate that the cost of the damage (fully coveredby earthquake insurance) will be $160,000. Your total assets (including your home) are worth $250,000.Mr Phiri has K10,000 in his account. He is considering investing in a project which has 70 % probability of earning a profit of K10,000 and a 30% probability of incurring a loss of K10,000. His utility at the moment is 20 utiles with the current K10,000. With K20, 000 his utility would be 25 utiles and with K0 his utility would be zero. a) What is the expected profit of the project? b) What is the expected marginal utility of the project? Is Mr Phiri likely to invest in the project? Mr Sinkala also has K10,000 from which he derives 20 utiles. However, Mr Phiri derives 15 utiles from the profit of K10,000. c) What is the expected marginal utility for Mr Sinkala? d) How can you describe Mr Phiri and Mr Sinkala in terms of their attitude towards risk?Lukas is a risk-averse farmer. He grows barley on his 1000 acre farm. In a typical year his farm yields 100 bushels of barley per acre. However, in a wet season, the farm only yields 40 bushels per acre. The probability of a typical season is 0.8 and of a wet season is 0.2. Regardless of the productivity of his farm, he expects to earn $3 per bushel (net of all costs of farming). Assume that Lukas has no other income. Write an expression for Lukas's expected utility.
- PLEASE USE EXCEL AND SHOW FORMULAS:A new engineer is evaluating whether to use a larger diameter pipe for a water line. The pipe will cost $376,183 more initially but will reduce pumping costs. The optimistic, most likely, and pessimistic projections for annual savings are $30,000, $20,000, and $5000, with respective probabilities of 20%, 50%, and 30%. The interest rate is equally likely to be 6% or 8% (use 7% as most likely), and the water line should have a life of 40 years.a) Find the PW for the pessimistic case, the most likely case, and the optimistic case. Then determine the Expected PW based on these.b) Find the expected annual savings and the expected interest rate. Determine the Expected PW based on these.Using the normal table or software, find the value of z that makes the following probabilities true. You might find it helpful to draw a picture to check your answers (a) P(Zz) =0.01 (e) P(Z|Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #SEE MORE QUESTIONS