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.
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- 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%…A 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.) $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?
- "A financial investor has $31,000 to invest. The choices have been narrowed down to the following two options.-OPTION 1:Invest in a foreign bond that will mature in one year. This will entail an immediate brokerage fee of $100. For simplicity, assume that the bond will provide interest of $2,470, $2,130, or $1,527 over the one-year period and that the probabilities of these occurrences are assessed to be 0.29, 0.43, and 0.28, respectively.-OPTION 2:Invest in a $31,000 certificate with a savings-and-loan association. Assume that this certificate has an effective annual rate of 5.6%.Which form of the investment should the investor choose in order to maximize her expected financial gains? Enter the expected net gain (total return - initial investment - fee) of the preferred option."15. A city mayor decides to construct a new bridge over the major river in the town. The estimated life of such a structure will be 20 years. There is a 70% probability that the total initial costs (consulting fees and construction) will be $800,000 and a 30% probability that such costs would be $1 million. There is 100% probability that the maintenance costs would be $30,000 every 5 years. How much money should the city borrow now in order to carry out the entire project including maintenance? The interest rate is 5%.Please explain in detail about expected utility to get a positive upvote. An individual has a utility function U = W¼, where W is her total wealth. She has one safe asset worth Rs 5,000, and another risky asset whose value can be either Rs 5,000 or Rs 1,400 with equal probabilities. What is her expected utility? (a) Rs 11,400 (b) Rs 100 aw lo boeoqmoo vmonoos to on g cubire cou s o iva alagos ad a adWnooni lanou lo OAuti (c) Rs 2,580 (d) Rs 90
- An estate agent advertises its houses in two media; Daily Graphic and Ghanaian Times. The agent believes that there is a relationship between the sales S and the amounts spent on the two advertising media. The relationship is given by; where, d is the amount spent in Daily Graphic and g is the amount spent in Ghanaian Times. The estate’s agent fee is 12½% and this includes the cost of adverting. If the agent has planned to spend only 200 thousand Ghana Cedis on advertisement, show how it should be allocated between the two media in order to maximize net profit.Tasha is planning to invest in a farming project in 2022, but has a reservation given the different forecast (declined (D),the average (A) and takeoff (T)of the economy. She uses the following to guide her decision making. (i) there is 25% chance she will invest if there is a forecast of declined (ii) there is a 75% chance she will invest if there is a forecast of average growth and (iii) there is a 55% chance of investing if there is a forecast that economy will takeoff. Tashanna believes that for 2022 there is a 20% chance of decline and a 40% chance of average growth and a 40% chance the economy will take off. Based on these probabilities what is the chance that Tattiana will invest in the farming project if the stated forecast hold?A baseball team has signed a draft pick to a two year contract. The player's expectedmarginal revenue product in year 1 and year 2 are $1-million and $1.7-millionrespectively. The contracted wage is $1.3-million in the first year. The interest rate is7% each year. The competitive wage in year 2 is expected to be $1.8-million. If theteam is indifferent about the player resigning with it at the end of his contract, howmuch will they pay him in the second year? Use a$ and commas.
- Johnny is "paid" by his parents $2o if he gets a grade A, $10 if he gets a grade B, whereas he has to pay his parents back $5 if he gets a grade other than A or B. On average 20% of the grades he gets are A, and 30% are grades B. What is the expected value of what he "earns" per grade ? What is the expected value of what he "earns" at school weekly if on average he gets five grades a week ? How long should Jim save until he collects enough money to buy a pair of brand new Hi-Fi headphones that cost $225?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?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?