An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? The expected profit is $ (Type an integer or a decimal.)

An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $20,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment? The expected profit is $ (Type an integer or a decimal.)

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter17: Making Decisions With Uncertainty

Section: Chapter Questions

Problem 17.2IP

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Gavin Jones’s friend is planning to invest $1 million in a rockconcert to be held 1 year from now. The friend figures that he will obtain $2.8 million revenue from his $1 million investment—unless it rains. If it rains, he will lose his entire investment. There is a 50% chance that it will rain the day of the concert. Gavin suggests that he buy rain insurance. He can buy one unit of insurance for $0.50, and this unit pays $1 if it rains and nothing if it does not. He may purchase as many units as he wishes, up to $2.8 million.(a) What is the expected rate of return on his investment if he buys u units of insurance? (The cost of insurance is in addition to his $1 million investment.)(b) What number of units will minimize the variance of his return? What is this minimum value? And what is the corresponding expected rate of them? [Hint: Before calculating a general expression for variance, think about a simple answer.]
K An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $30,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $30,000. You contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession What is the expected profit from this investment? The expected profit is $ (Type an integer or a decimal.)
Eric has a job at an electronics store in a mall. Eric doesn't like to work hard, and it costs him $100 to do so. Eric's employer cannot observe whether Eric works hard or not. If Eric works hard, there is a 75% probability that electronics goods profits will equal $400 a day and a 25% probability that electronics goods profits will equal $100 a day. If Eric shirks, there is a 75% probability that electronics goods profits will equal S100 a day and a 25% probability that electronics goods profits will equal $400 a day. Suppose Eric is paid $200 if electronics goods profits are $400 a day and $50 if electronics goods profits are S100 a day. Eric will because the net gain of from shirking is than the net gain of from working hard. O shirk; $87.50; more; $62.50 O shirk; $125; more; $118 O work hard; S50; less; $62.50 O work hard; $100; less; $250
Industry standards suggest that 12 percent of new vehicles require warranty service within the first year. University Toyota in Morgantown, WV sold 10 Toyotas yesterday. What is the probability that exactly one of these vehicles will require warranty service?
You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.
A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-place prizes of $10,000 each, and 19 consolation prizes of $1,000 each. If a 4 million tickets are sold for $1 each, and the probability of any ticket winning is the same as that of any other winning, find the expected return on a $1 ticket. (Round your answer to 2 decimal places.
Wanda works as a waitress and consequently has the opportunity to earn cash tips that are not reported by her employer to the Internal Revenue Service. Her tip income is rather variable. In a good year (G), she earns a high income, so her tax liability to the IRS is $5000. In a bad year (B), she earns a low income, and her tax liability to the IRS is $0. The IRS knows that the probability of her having a good year is 0.6, and the probability of her having a bad year is 0.4, but it doesn’t know for sure which outcome has resulted for her this tax year. In this game, first Wanda decides how much income to report to the IRS. If she reports high income (H), she pays the IRS $5000. If she reports low income (L), she pays the IRS $0. Then the IRS has to decide whether to audit Wanda. If she reports high income, they do not audit, because they automatically know they’re already receiving the tax payment Wanda owes. If she reports low income, then the IRS can either audit (A) or not audit…
An investor considers investing $17,000 in the stock market. He believes that the probability is 0.22 that the economy will improve, 0.42 that it will stay the same, and 0.36 that it will deteriorate. Further, if the economy improves, he expects his investment to grow to $23,000, but it can also go down to $11,000 if the economy deteriorates. If the economy stays the same, his investment will stay at $17,000. What is the expected value of his investment?
A store manager must hire a clerk to work in her store. The sales of the store are uncertain and also a function of how hard the clerk works. If the clerk works hard (high effort) then there is a 75% chance that sales will be $500 per day and a 25% chance that they will be $100 per day. If the clerk does not work hard (low effort) then there is only a 25% chance that sales will be $500 and a 75% chance that they will be $100. The store manager is risk neutral and her utility is the expected profits of the store i.e.U^Manager = Expected (Sales – Wages). The clerk is risk averse. In addition, the clerk does not like to work hard so exerting high effort lowers her utility. Her utility function is given by U^clerk(w,e)=w^0.5-e where e is either 0 (low effort) or 4 (high effort). Finally, assume that the clerk could work somewhere else where her total utility would be 10. Thus, she will only work in this store if the total utility of working here is at least 10. Below, assume that if the…
Consider two local banks. Bank A has 100 loans outstanding, each for $0.9 million, that it expects will be repaid today. Each loan has a 7% probability of default, in which case the bank is not repaid anything. The chance of default is independent across all the loans. Bank B has only one loan of $90 million outstanding, which it also expects will be repaid today. It also has a 7% probability of not being repaid. Calculate the following: a. The expected overall payoff of each bank. b. The standard deviation of the overall payoff of each bank.
Managers of the restaurant, NicePizzeria@Nola, have to plan for the number of pizzas they want to make at the beginning of each day. Based on market research, the managers know the daily demand can only be one of the three levels: 30, 40 or 50 pizzas. Also, the probabilities of getting a daily demand of 30, 40, 50 pizzas are 0.3, 0.4, 0.3 respectively. The managers decide that their tentative daily supply of pizza should also be one of the three levels: 30, 40 or 50 pizzas. Each pizza costs $3 to make and the price is $8 per pizza. Note: The profit for each pizza sold is $5. For the ones supplied but not sold, the profit is -$3. Fill in the following profit table (hint: use two-way table ) and use the profit table to answer the questions. Three demand levels 30 40 50 30 Three supply 40 levels 50 1) What is the maximin supply level? 2) What is the maximum expected profit (across three supply levels)?
Half of a set of the parts are manufactured by machine A and half by machine B. Five percent of all the parts are defective. Five percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective.