A company invests on selling computer units worth Php 32,000.00. The probability of maintaining this price throughout the year is 65% while that of less or more than 10% expected are 15% and 20%, (a) what is the probability that the selling price for that year is more than the expected price?
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A company invests on selling computer units worth Php 32,000.00. The probability of maintaining this
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- In the past four years, the annual returns of one company’s stockare 12%, 18%, and –14%, and 7%.a) What is the geometric average return? b) What is the arithmetic average of the returns? c) According to an economist’ forecast on the Year 2020, the probabilities of repeatingthe performances of the former four years are 30%, 30%, 20%, and 20%, respectively.What is the expected return of the stock in the Year 20201. A person who is 55 year old bought a PHP 2,000,000 life insurance policy at a cost of PHP 1.2 M and has a probability of 0.978 of living to age 56, find the expectation of the policy. 2. nPn-r = ? (Permutations)A large company in the communication and publishing industry has quantified the relationshipbetween the price of one of its products and the demand for this product as Price = 150 − 0.01× Demand for an annual printing of this particular product. The fixed costs per year (i.e., perprinting) = RM50,000 and the variable cost per unit= RM40. a) Analyze what is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year. b) Compute what is the unit price at this point of optimal demand.
- A property owner is faced with a choice of: A large-scale investment to improve her flats. This could produce a substantial pay-off in terms of increased revenue net of costs but will require an investment of 1.4 million pesos. After extensive market research it is considered that there is a 40% chance that a pay-off of 2.5million will be obtained, but there is a 60% chance that it will be only 800,000 pesos. A smaller scale project to re-decorate her premises. At 500,000 pesos this is less costly but will produce a lower pay-off. Research data suggests a 30% chance of a gain of one million pesos but a 70% chance of being only 500,000 pesos. Continuing the present operation without change. It will cost nothing but neither will it produce any pay-off. Clients will be unhappy and it will become harder to rent the flats out when they become free. What is the best alternative? Use decision tree analysis.A 28- year- old man pays $158 for one year life insurance policy with coverage of $110,000. If the probability he will live through the year is 0.9994, what is the expected value for the insurance policy?Luther’s company has just received an order for 1,200 of its Flying Z machines. The customer wants 350 of them next year, 400 the year after, and the balance in the third year. Luther estimates that after one year of production, the average worker with this one year of experience can produce 12 machines per year. However, new workers are 25% less productive in the first year. He has 25 workers with at least one year of experience to work on the first year’s order. He will need to hire new workers for any production that exceeds what these workers can produce. To further complicate matters, he believes 10% of his current experienced workforce will turnover at the end of the first year and the number of workers from his current workforce should remain steady after that. His history also shows that only 75% of new hires stay after their first year. Given these facts, how many total people should Luther plan to hire over the duration of this order? SHOW WORK ON EXCEL A. 19 B.22 C.45 D.36
- Eng. Economic Q1. Would a dollar tomorrow be worth more to you today when interested is 20% or 10%?Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% If it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells blank - be certain to enter "O" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Economy Probability Coupon Interest YTM Price Capital Gain HPR Boom 0.25 10.0 % Normal Growth 0.50 9.0 % Recession 0.25 8.0 %The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 0.20 0.30 0.35 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (indoitars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units?
- Decorators Co. got a 15-year loan from NatWest Bank in 2016 for an amount of £22 million. The loan was taken at an annual interest rate of 12%. After 5 years in 2021, Decorators Co. had managed to pay back £9.5million. Currently owing on the loan is the principal balance plus interest of £800,000. In 2021, the probability that Decorators Co. defaults on the loan is 4.5%, in the same year, if there is a default, NatWest bank expects that it will be able to recover 75% of the loan. Given the information above, you are required to determine: Exposure at default (EAD) Value of Loss given default value (LGD) Expected loss (EL)ABC Inc. must make a decision on its current capacity for next year. Estimated profits (in $000s) based on next year's demand are shown in the table below. Alternative Expand Subcontract Do nothing Refer to the information above. Assume that ABC Inc. has hired a marketing research firm that provided additional information regarding next year's demand. Suppose that the probabilities of low and high demand are assessed as follows: P(Low) = 0.4 and P(High) = 0.6. What is the expected value under certainty? 160 0 Next Year's Demand Low High $100 $200 $50 $120 $40 $50 140 200The following table shows the total sales, in thousands, since a new game was brought to market. Month 0 2 4 9 8 10 12 14 Sales 0 2.2 5.4 9.5 19.1 27.2 32.9 35.4 (a) Plot this data and determine the point of diminishing returns. Enter the closest value in the table. The point of diminishing returns occurs i months after the game is introduced. (b) Predict total possible sales of this game, using the point of diminishing returns from the table. Total sales≈ i