Managerial Economics: A Problem Solving Approach
5th Edition
ISBN: 9781337106665
Author: Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 17, Problem 17.5IP
To determine
The expected value of the gamble.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Suppose that you graduate from college next year and you have two career options: 1) You will start a job in an investment bank paying a $100,000 annual salary. 2) You will start a Ph.D. in economics and, as a student, you will receive a $20,000 salary. You are bad with decisions, so you are letting a friend of yours decide for you by flipping a coin. The probabilities of options 1 and 2 are, therefore, each 50%. a) Illustrate, using indifference curves, your preferences regarding consumption choices in the two different states of the world. Assume that you are risk-averse. [Include also the 45 degrees line in your figure] b) Now show how the indifference curves would change if you were substantially more risk averse than before. Explain. c) Now show the indifference curves if you are risk neutral and if you are risk loving. d) Show your expected utility preferences from point a) mathematically.
You're a contestant on a TV game show. In the final round of the game, if contestants answer a
question correctly, they will increase their current winnings of $3 million to $4 million. If they are
wrong, their prize is decreased to $2,250,000. You believe you have a 25% chance of answering the
question correctly.
Ignoring your current winnings, your expected payoff from playing the final round of the game show
is. Given that this is ______________ (POSITIVE/NEGATIVE), you___________ (SHOULD/ SHOULD NOT)
play the final round of the game. (Hint: Enter a negative sign if the expected payoff is negative.)
The lowest probability of a correct guess that would make the guessing in the final round profitable (in
expected value) is
(Hint: At what probability does playing the final round yield an
expected value of zero?)
A wheel of fortune in a gambling casino has 54 different slots in which the
wheel pointer can stop. Four of the 54 slots contain the number 9. For $3 bet
on hitting a 9, if he or she succeeds, the gambler wins $16 plus return of the $3
bet. What is the expected value of this gambling game?
(Present your answer in dollars with 2 decimal places but without $ sign)
Chapter 17 Solutions
Managerial Economics: A Problem Solving Approach
Knowledge Booster
Similar questions
- You take a position with a large real estate development company as your first job after graduation. Your first big assignment is to sell an office building – you have been informed the company’s cost into the building (and the bottom line price it is willing to accept) is $400,000. You have identified a likely buyer and you assess that his top price is either $500,000 with a probability of .3, $600,000 with a probability of .5, or $1,000,000 with a probability of .2. You have to commit to a posted price – what price will maximize your profitability?arrow_forwardA wheel of fortune in a gambling casino has 54 different slots in which the wheel pointer can stop. Four of the 54 slots contain the number 9. For a 1 dollar bet on hitting a 9, if he or she succeeds, the gambler wins 10 dollars plus the return of the 1 dollar bet. What is the expected value of this gambling game? What is the meaning of the expected value result?arrow_forwardIn the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million dollars to $2 million dollars. If they are wrong, their prize is decreased to $500,000. The contestant thinks his guess will be right 50% of the time. Should he play? What is the lowest probability of a correct guess that would make playing profitable?arrow_forward
- A Bank has foreclosed on a home mortgage and is selling the house at auction. There are two bidders for the house, Zeke and Heidi. The bank does not know the willingness to pay of these three bidders for the house, but on the basis of its previous experience, the bank believes that each of these bidders has a probability of 1/3 of valuing it at $800,000, a probability of 1/3 of valuing at $600,000, and a probability of 1/3 of valuing it at $300,000. The bank believes that these probabilities are independent among buyers. If the bank sells the house by means of a second- bidder, sealed-bid auction, what will be the bank’s expected revenue from the sale? The answer is 455, 556. Please show the steps in details thank you!arrow_forwardIn the final round of a TV game show, contestants have a chance to increase their current winnings of$1 million to $2 million. If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50% of the time. Should he play? What is the lowest probability of a correct guess that would make playing profitable?arrow_forwardThe deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the player shots the ball in the other, then it is a goal. If the goalie jumps left and the player shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the player shots right, it is goal with probability 2/3. If both players play Nash strategies, what is the expected value of goals that will follow from this penalty shot. 1/9 2/9 3/9 4/9 5/9 6/9 O7/9arrow_forward
- Professor can give a TA scholarship for a maximum of 2 years. At the beginning of each year professor Hahn decides whether he will give a scholarship to Gong Yi or not. Gong Yi can get a scholarship in t=2, only if he gets it in t=1. Basically, the professor and TA will play the following game twice. TA can be a Hardworking type with probably 0.3 and can be a Lazy type with a probability of 0.7. Professor does not know TA's type. If TA is hard working, it will be X=5 and TA will always work if he gets a scholarship. If TA is lazy, it will be X= 1. There is no time discount for t=2. Find out a Perfect Bayesian Equilibrium of the game.arrow_forwardConsider the St. Petersburg Paradox problem first discussed by Daniel Bernoulli in 1738. The game consists of tossing a coin. The player gets a payoff of 2^n where n is the number of times the coin is tossed to get the first head. So, if the sequence of tosses yields TTTH, you get a payoff of 2^4 this payoff occurs with probability (1/2^4). Compute the expected value of playing this game. Next, assume that utility U is a function of wealth X given by U = X.5 and that X = $1,000,000. In this part of the question, assume that the game ends if the first head has not occurred after 40 tosses of the coin. In that case, the payoff is 240 and the game is over. What is the expected payout of this game? Finally, what is the most you would pay to play the game if you require that your expected utility after playing the game must be equal to your utility before playing the game? Use the Goal Seek function (found in Data, What-If Analysis) in Excel.arrow_forwardClancy has $5,000. He plans to bet on a boxing match between Sullivan and Flanagan. He finds that he can buy coupons for $3 that will pay off $10 each if Sullivan wins. He also finds in another store some coupons that will pay off $10 if Flanagan wins. The Flanagan tickets cost $1 each. Clancy believes that the two fighters each have a probability of 1/2 of winning. Clancy is a risk averter who tries to maximize the expected value of the natural log of his wealth. In order to maximize his expected utility, he buys. Flanagan tickets. (Answer up to 2 decimal places.) Sullivan tickets and for the rest of the money, he buys Your Answer:arrow_forward
- Consider a game where there is a $2,520 prize if a player correctly guesses the outcome of a fair 7-sided die roll.Cindy will only play this game if there is a nonnegative expected value, even with the risk of losing the payment amount.What is the most Cindy would be willing to pay?arrow_forwardBill owes Bob $36. Just before Bill pays him the money, he gives Bob the opportunity to play a dice game to potentially win more money. The rules of this game are as follows: If Bob rolls doubles (probability 1/6), Bill will Bob double ($72). If he misses doubles on pay the first try, he can try again or settle for half the money ($18). If he makes doubles on the second try Bill will again pay-up double ($72), but if Bob misses doubles on the second try Bill will only pay him one-third ($12). Should Bob decide to play the dice game with Bill, or insist that he pay the $36 now? Use a decision tree to support your answer.arrow_forwardIn a game, there are three values 1, 000, 2.500 and 5,000 and the cost of the game is 1, 500 . If each outcome has an equal probability of occurring, then what is the expected value of playing the game?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Managerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning