Consider Ann and Bob and assume that Ann has a felicity function with respect to consumption...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider "Ann" and "Bob" and assume that "Ann" has a felicity function with respect to consumption given by UA (c) = c. Bob has a felicity function given by UB (c) = √c. Assume that Ann receives $100,000 with certainty. Bob has uncertain prospects. With probability p=0.5 he will earn $40,000 and with probability p=0.5 he will earn $90,000. a.) What is the expected utility of both of these agents? b.) Assume that Ann could offer an insurance contract to Bob. Bob will accept this contract as long as it makes him at least as well off as if he faces the risk. Describe the contract that Ann would offer Bob and how much her expected utility would be given this contract. c.) Now assume that there are many other people like Ann out there who will compete with each other (i.e.: there is a perfectly competitive market for insurance). Bob will take the contract that is best for him. What contract would be offered to Bob in equilibrium? What would be his expected utility. d.) Are the allocations in b and c Pareto efficient? Explain in less than 50 words. Consider "Ann" and "Bob" and assume that "Ann" has a felicity function with respect to consumption given by UA (c) = c. Bob has a felicity function given by UB (c) = √c. Assume that Ann receives $100,000 with certainty. Bob has uncertain prospects. With probability p=0.5 he will earn $40,000 and with probability p=0.5 he will earn $90,000. a.) What is the expected utility of both of these agents? b.) Assume that Ann could offer an insurance contract to Bob. Bob will accept this contract as long as it makes him at least as well off as if he faces the risk. Describe the contract that Ann would offer Bob and how much her expected utility would be given this contract. c.) Now assume that there are many other people like Ann out there who will compete with each other (i.e.: there is a perfectly competitive market for insurance). Bob will take the contract that is best for him. What contract would be offered to Bob in equilibrium? What would be his expected utility. d.) Are the allocations in b and c Pareto efficient? Explain in less than 50 words.
Expert Answer:
Answer rating: 100% (QA)
A Anns expected utility is UA100000 100000 and Bobs expected utility is UB0540000 0590000 0540000 90... View the full answer
Related Book For
Statistics For Business And Economics
ISBN: 9780321826237
12th Edition
Authors: James T. McClave, P. George Benson, Terry T Sincich
Posted Date:
Students also viewed these accounting questions
-
N balls labeled 1 through N are placed in Box 1 while a Box 2 is initially empty. At each time instant, one of the N balls is chosen (with equally probability) and moved to the other box. Let X [k]...
-
N sources of current with different emf's are connected as shown in Fig. 3.40. The emf's of the sources are proportional to their internal resistances, i.e. ε = aR, where a is an assigned...
-
N = the set of natural numbers, W = the set of whole numbers, Z = the set of integers, Q = the set of rational numbers, I = the set of irrational numbers, and R = the set of real numbers. Classify...
-
Verify that the functions are probability density functions for a continuous random variable X over the given interval. Determine the specified probability. f(x) = xe over [0, ), P(1 X 3)
-
Planning is a useless endeavor because developments in e-business and e-commerce and in the political, economic, and societal environments are moving too quickly nowadays. Do you agree or disagree...
-
Find the least squares solution of 2 X1 -1 -1 X2 _0 3
-
When testing several hypotheses, it is reasonable to reject every hypothesis for which P < 0.05. In Exercises 5 and 6, determine whether the statement is true or false. If the statement is false,...
-
Parker is a 100% shareholder of Johnson Corp. (an S corporation). At the beginning of 2010, Parkers basis in his Johnson Corp. stock was $14,000. During 2010, Parker loaned $20,000 to Johnson Corp....
-
Pro-Craft Company computed the following activity rates to allocate overhead cost for the year. Activity Materials handling Quality inspection Utilities Activity Rate 59 per materials requisition $...
-
Brothers Herm and Steve Hargenrater began operations of their tool and die shop (H & H Tool) on January 1, 1987, in Meadville, PA. The annual reporting period ends December 31. Assume that the trial...
-
DA 4: Maximum and Minimum Values Summary Box DA4.1 Model 1: Stage 11 of 2012 Tour de France For a function f on a domain D, there is a... global maximum at e if f(c)2 f(x) for all x in D global...
-
Gustav bought a zero coupon bond in 2010 for $485.19. In 2020, he redeemed it for $1,000. What was his internal rate of return on this investment as a percentage to one decimal place?
-
At locations A and B, the electric potential has the values VA = 1.37 V and VB = 5.51 V, respectively. A proton released from rest at one of these locations passes through the other location. What is...
-
Construct and solve the numerical model that solves the following 2D Laplace problem. The boundary conditions are provided by the coloured nodes. y u=x-2 u = -1 origin O a C u = y(x - 2) X
-
1. We note L the portfolio loss of n credit and w, the exposure at default of the i-th credit. In addition, let L(w) =we=1 Xe where the unit loss of the i-th credit. Further, let F be the cumulative...
-
Water flows at 50 mL/s throug16+44a 10.00 m-long garden hose with 1.00 cm inner radius and then through a nozzle which is 4.00 cm long and 1.00 mm inner radius. The garden hose rises 1.00 m from the...
-
The $15 Kelly's Big Burger gift card that your friend gave you for your birthday expires today. You can either use the gift card to buy yourself dinner at Kelly's Big Burger, or you can stay home and...
-
TRUE-FALSE QUESTIONS 1. In terms of preliminary analytical procedures, assume that the company has introduced a new product with a low price point and significant customer demand. The auditor would...
-
The Federal Emergency Management Agency (FEMA) provides disaster relief for states impacted by natural disasters (e.g., hurricanes, tornados, floods). Do these bad weather windfalls lead to public...
-
The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Suppose you randomly select 10 of the...
-
Is summer vacation a break from work? Not according to an Ad week/Harris (July 2011) poll of 3,304 U.S. adults. The poll found that 46% of the respondent's works during their summer vacation, 35 % do...
-
What is an account? What is a ledger?
-
Why are accounting systems called double entry?
-
Does debit always mean increase and credit always mean decrease?
Study smarter with the SolutionInn App