Josh is playing blackjack for real money. He has reference-dependent preferences over money: if his earnings are m and his reference point is r, then his utility is v(m – r, where the value function v satisfies v(x) = In(x + 1) for x > 0, and v(x) = -2 In(-x + 1) for x < 0. assume that Josh's reference point is O Euro (that is, no wins or losses) and for the given situation, answer the following questions: (i) What is the g for which Josh would be indifferent between taking a fifty- fifty win g Euro or lose 5 Euro gamhle?

Josh is playing blackjack for real money. He has reference-dependent preferences over money: if his earnings are m and his reference point is r, then his utility is v(m – r, where the value function v satisfies v(x) = In(x + 1) for x > 0, and v(x) = -2 In(-x + 1) for x < 0. assume that Josh's reference point is O Euro (that is, no wins or losses) and for the given situation, answer the following questions: (i) What is the g for which Josh would be indifferent between taking a fifty- fifty win g Euro or lose 5 Euro gamhle?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Kevin's reference dependent utility over money is y and effort is E, refer to the: instantaneous utility function: Ye – E, + (Yt – Pe) éf Ye – re 20 Ye - E, +2(y: – re) if Yt – T: < 0 | u(Ye, Et, rt) = { rt: reference point for wealth, which demonstrated his recent wealth Kevin does not have from money but from gains and losses of money instead. There is no discounting, and assume that Kevin's current wealth from his job is 0. Kevin is thinking about a new role at work which allows him to increase his income by $1000 per period for two periods, counting from the current period, which is t = 0. He must undergo a training which require an effort of EO = 3500 at that value of alpha, how much ultility would Kevin lose relative to his non-projection-biased preferences if she took the position 1000 250 500 750
2. Alice believes that her car would cost £12500 to replace if it was stolen or damaged. Based on crime statistics for the area she lives in, she believes that the probability of her car being stolen or damaged is 0.15. (i) Alice's utility function is given by U(w) = ln(w) for w > 0 and she as £35000 in the bank. Calculate how much Alice would be prepared to pay (in a single payment) to insure her car against theft or damage (ii) Repeat the calculation in the previous part but now assume Alice has £500000 in the bank.
A person's utility function is given by U(x, y, z) = 7xyz, where x, y, z denote then number of units of three commodities X,Y, and Z that the person consumes. The pricesr per unit of X,Y, and Z are 5 euro, 1 euro, and 3 euro respectively. If ther person has a budget of 270 euro, the person's utility is maximised when they consume units of X, units of Y, and units of Z. The person's maximum utility is If the person's budget is increased to 271 euro, then using the method of lagrange multipliers we find that the maximum utility is approximately
Suppose your utility function for money is a square-root function of its value in US dollars. So, for instance, $400 is worth 20 utils for you, $961 is worth 31 utils for you, and $62.5K is worth 250 utils for you. Now, let’s say your annual salary is $90K, although there is a small risk (p = 0.05) that something catastrophic will happen and reduce your income for the year to $14.4K. An insurance company comes along and offers to insure you against the loss of your salary. The cost of the insurance is $4,736. If you buy the policy and catastrophe strikes, the insurance company will pay out the $75,600 that you would otherwise have lost. From the standpoint of maximizing expected utility, would buying this insurance be a good deal for you? What would be the insurance company’s expected monetary value of selling you the policy?
You have k20per week to spend and two possible uses for this money,:telephoning friends back home and drinking coffee. Each hour of phoning costs k2 and each cup of coffee costs k1. Your utility functions U(X,Y)=XY,where X is the hours of phoning you do and Y the number of cups of coffee you drink. Now suppose the price of telephone calls drops to k1 per hour. What are your optimal choices? What is the resulting utility level
3. Consider a home energy storage (battery) system that can store up to 2 units of energy. At every time step, there is a demand for energy in the home which is drawn from 0,1,2 units with equal probability independent of the demands in the previous time steps. At every point in time, you have to satisfy the demand either by discharging the needed energy from the battery or purchasing power from the grid (or a combination of the two). You could also choose to purchase power from the grid to charge your battery. The grid energy price is either H(igh) or L(ow) according to a Markov chain (Price moves from H to L with probability p, and from L to H with probability q). (a) Model the decision making as an infinite horizon MDP where the objective is to minimize the discounted cost of energy purchased over an infinite horizon. (b) Write down a policy a of your choosing. Perform two steps of the operator T, for your policy, followed by one step of T..
In your answers, label all intercepts, coordinates, slopes, and axes. 1. For the utility function U(x1,X2) = x94x9.6, calculate EV, CV and ACS for an increase in Pi from $1 to $2. Assume p2 = 1, and m = 100.
Assume that someone has inherited 2,000 bottles of wine from a rich uncle. He or she intends to drink these bottles over the next 40 years. Suppose that this person’s utility function for wine is given by u(c(t)) = (c(t))0.5, where c(t) is each instant t consumption of bottles. Assume also this person discounts future consumption at the rate δ = 0.05. Hence this person’s goal is to maximize 0ʃ40 e–0.05tu(c(t))dt = 0ʃ40 e–0.05t(c(t))0.5dt. Let x(t) represent the number of bottle of wine remaining at time t, constrained by x(0) = 2,000, x(40) = 0 and dx(t)/dt = – c(t): the stock of remaining bottles at each instant t is decreased by the consumption of bottles at instant t. The current value Hamiltonian expression yields: H = e–0.05t(c(t))0.5 + λ(– c(t)) + x(t)(dλ/dt). This person’s wine consumption decreases at a continuous rate of ??? percent per year. The number of bottles being consumed in the 30th year is approximately ???
Patience has a utility function where c₁ is her consumption in period 1 and c2 is her consumption in period 2. Her income in period 1 is 3 times as large as her income in period 2. At what interest rate will she choose to consume the same amount in period 1 as in period 2? 20% 13% 25% 1/2 1/2 U(c1, c2) = ¹/² +0.80c¹/² 0% 80%
Mats, who has reference-dependent preferences over beer and money, goes to the local pub with a friend, but is not planning on drinking any beer or spending any of his 50 Euro in cash. Let his end-of-evening outcomes in pints of beer consumed and cash be c1 and c2, respectively, and let his reference point in pints of beer and cash be r1 and r2, respectively. Then, Mats’ utility is given by v(6c1 − 6r1) + v(c2 − r2), where v(x) = x for x ≥ 0, and v(x) = 1.5x for x < 0. 1) Now suppose that after Mats gets his promo pint but before he decides whether to sell it, he notices that he lost 10 Euro on the way to the pub. He does not yet incorporate this 10 Euro loss into his reference point for cash. Calculate his selling price for the pint of beer. 2) Suppose that the pub advertises that it will have a 1 Euro/pint promotion. Thinking that this is worth it, Mats plans in advance to buy a pint, and incorporates this plan into his reference point. What is Mats’ reference point (r1, r2) in…
Mats, who has reference-dependent preferences over beer and money, goes to the local pub with a friend, but is not planning on drinking any beer or spending any of his 50 Euro in cash. Let his end-of-evening outcomes in pints of beer consumed and cash be c1 and c2, respectively, and let his reference point in pints of beer and cash be r1 and r2, respectively. Then, Mats’ utility is given by v(6c1 − 6r1) + v(c2 − r2), where v(x) = x for x ≥ 0, and v(x) = 1.5x for x < 0. (a) Suppose that the price of beer is pB. Calculate Mats’ utility from drinking one pint of beer at this price. What is Mats’ utility from drinking no beer? And, comparing these two utility values, what is the maximum price pB that Mats would pay for one beer? (b) Suppose that Mats unexpectedly gets a pint of beer as part of a promotion at the pub, and incorporates its consumption into his reference point in beer. [Hint: this means that (r1, r2) = (1, 50).] Suppose that Mats could sell the beer at a price pS.…
Oliver takes $2500 with him to a camp and there is 50% chance he will lose $900 on his way. Suppose Oliver can buy an insurance policy that will totally cover his loss, what maximal amount will he be willing to pay for such insurance? Oliver’s utility function is given by the function U(E) = E0.5 where E is the amount that he spends on the camp without any saving. a. $325 b. $475 c. $650 d. $535