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- An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. Af- ter a year, investors have to deposit a minimum of £800 with an expected return rate of 3% per annum for the second year and a standard deviation of 2% per annum. a. Find the expected value of the total minimum amount earned after two years of investment. b. Find the standard deviation of the total minimum amount earned after two years of investment.The higher the standard deviation Select one: a. The lower the risk b. The higher the risk c. The higher the return d. The higher the risk and the higher the return e. None of the answers are correctA man purchased a $22,500, 1-yr term-life insurance policy for $695. Assuming that the probability that he will live for another year is 0.995, find the company's expected gain. (Round your answer to the nearest cent.) $
- A 40-year-old man in the U.S. has a 0.244% risk of dying during the next year. An insurance company charges $300 per year for a life-insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance? Round your answer to the nearest dollar. Expected Value: S-55 Question Help: Video Submit Question Question 5 x for the year Message instructor Based on historical data, an insurance company estimates that a particular customer has a 2.6% likelihood of having an accident in the next year, with the average insurance payout being $2700. If the company charges this customer an annual premium of $180, what is the company's expected value of this insurance policy? S Question Help: Message instructorConsider 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 : #The project manager of Good Public Relations gatheredthe data shown in Table 7.15 for a new advertisingcampaign.a. How long is the project likely to take? b. What is the probability that the project will take more than38 weeks?c. Consider the path A–E–G–H–J. What is the probability thatthis path will exceed 38 weeks?
- Economics Consider a supplier that manufactures a product at $2 per unit and sells them to retailers at $7 per unit. The retailer sells each product to the end consumer at $10. At this retail price, market demand is normally distributed, with a mean of 1,000 and a standard deviation of 300. The supplier agrees to buy back unsold products for $b even though any leftover product at the end of sale period are worthless. a) What is the retailer's order quantity under local optimization when b=0? b) What is the optimal order quantity under global optimization? Round up to the nearest integer. Derive the optimal value of b. c) With the optimized value of b in the buyback clause, how many discs should an independent retailer order? Round up your solution to the nearest integer. d) What is the expected overstocking given the optimized value of $b? What is the expected understocking given the optimized value of $b? What is retailers' expected profit? What is the manufacturer's expected profit?12. Over the last decade, robotic-drone a research and development company has researched in new drone technology for home delivery. Their sales department considers that they could sell as many as $90 million per year with a probability of 20%. With a most likely value of $76 million with a probability of 45% and a lowest value of $50 million. a. Determine the expected value of their sales. b. The sales department estimates that they could maintain this sales rhythm for 4 years with a probability of 67% or that this sales rhythm could be maintained for 8 years. Determine the Expected Value for the PW if the company considers a yearly interest rate of 10%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?
- RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.Question One. The ABC Book Company has a choice of publishing one of two books on the subject of Greek mythology. It expects the sales period for each to be extremely short, and it estimates profit probabilities as follows: Probability 0.2 0.3 0.3 0.2 Book A Profit Class Exercise $2,000 2,300 2,600 : 2,900 Probability 0.1 0.4 0.4 0.1 Book B Profit $1,500 1,700 1,900 2,100 Calculate the expected profit, standard deviation, and coefficient of variation for each of the two books. If you were asked which of the two to publish, what would be your advice?For this question, you must use the empirical rule to find the answers, rather than the more exact answers using Excel. The average monthly charges of water utility bill in Portland, OR is $52.10. Let's assume the water utility bills are normally distributed with a standard deviation of $16.80. (a) What percentage of water utility bills will be less than $35.30? % (b) What percentage of water utility bills will be more than $ 52.10? % (c) What percentage of water utility bills will cost between $35.30 and $68.90? % (d) What percentage of water utility bills will cost between $52.10 and $102.5 % (e) What is the minimum bill to be the most expensive 2.5% of all water utility bills? $
