An investor with a total wealth of $100 is faced with the following opportunities. First, he may invest $100 now and receive $144 if there are good times, but receive $64 if there are bad times. The investor estimates that good times happen with 50% probability.He can also buy an investor newsletter whether good times or bad times will occur. (a) Draw the decision tree that illustrates the options available to the investor and the payoffs to the different options. Define P as the price of the newsletter. (b) If the investor is risk-neutral with U(M) = M, where M is income, how much would he be willing to pay for the subscription to the newsletter? (c) If the investor is risk-averse with utility U(M) = M0.5, where M is income, how much would this investor be willing to pay for the subscription to the newsletter? (d) Suppose that the owner of the newsletter estimates that there are 75 risk-averse investors like those of part (c) and 25 investors like those of part(b). If it costs zero to produce the newsletter, how should the newsletter be priced assuming (i) that the owner wishes to maximize the profits of the news letter and (ii) that this is the only newsletter available to investors.

An investor with a total wealth of $100 is faced with the following opportunities. First, he may invest $100 now and receive $144 if there are good times, but receive $64 if there are bad times. The investor estimates that good times happen with 50% probability.He can also buy an investor newsletter whether good times or bad times will occur. (a) Draw the decision tree that illustrates the options available to the investor and the payoffs to the different options. Define P as the price of the newsletter. (b) If the investor is risk-neutral with U(M) = M, where M is income, how much would he be willing to pay for the subscription to the newsletter? (c) If the investor is risk-averse with utility U(M) = M0.5, where M is income, how much would this investor be willing to pay for the subscription to the newsletter? (d) Suppose that the owner of the newsletter estimates that there are 75 risk-averse investors like those of part (c) and 25 investors like those of part(b). If it costs zero to produce the newsletter, how should the newsletter be priced assuming (i) that the owner wishes to maximize the profits of the news letter and (ii) that this is the only newsletter available to investors.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.16P

See similar textbooks

Similar questions

Refer to Table 3.10.What is the joint probability of “low income” and “regular”?
Q1) An expected utility maximiser owns a car worth £60000£60000 and has a bank account with £20000£20000. The money in the bank is safe, but there is a 50%50% probability that the car will be stolen. The utility of wealth for the agent is u(y)=ln(y)u(y)=ln⁡(y) and they have no other assets.
The project manager of Good Public Relations gatheredthe data shown in Table 7.15 for a new advertisingcampaign.a. How long is the project likely to take? b. What is the probability that the project will take more than38 weeks?c. Consider the path A–E–G–H–J. What is the probability thatthis path will exceed 38 weeks?
The frequency of breakdown of a machine per month is shown in the table. The cost ofa breakdown is $1,000 and the cost of preventive maintenance is $1,250 per month. Ifpreventive maintenance is performed, the probability of a machine breakdown is negligible. Should the manager use preventive maintenance, or would it be cheaper to repair themachine when it breaks down?Number of breakdowns 0 1 2 3Frequency of occurrence .20 .30 .40 .10
The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.
They need to be probabilities and there should be six answer 1-a-b etc
please help with 1 and 2 Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows. Answer questions 6-9. Undergraduate Major Business Engineering Other Totals Intended Enrollment Status Full-Time 352 197 251 800 Part-Time 150 161 194 505 Totals 502 358 445 1305 1. Refer to Table 1. What is the probability that the student was an undergraduate business major? Group of answer choices 0.4400. 0.3410. 0.3847. 0.2743. 2. Refer to Table 1. What is the probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree ? Group of answer choices 0.7011. 0.6130. 0.4400. 0.2697.
Time remaining: 01 :51 :45 Economics A dealer decides to sell an antique automobile by means of an English auction with a reservation price of $900. There are two bidders. The dealer believes that there are only three possible values, $7,200, $3,600, and $900, that each bidder’s willingness to pay might take. Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other’s valuation. Assuming that the two bidders bid rationally and do not collude, the dealer’s expected revenue from selling the car is approximately Group of answer choices $3,600. $2,500. $3,900. $5,400. $7,200.
example of situations that will you will use empirical, classical, and subjective approach to estimate probabilities.
DETERMINE WHAT IS ASKED AND WHAT ARE THE GIVENS. SOLVE IT COMPLETELY
Determine whether or not to stock a large supply of steel. There is uncertainty in the price of steel. Based on past history the following data are available Price (future) Prob (Price) PW if stocked PW if not stocked High 0.3 100000 0 Medium 0.5 -10000 0 Low 0.2 -50000 0 What is the probability that stocking steel will result in a negative present worth (PW)?
A poker hand (5 cards) is drawn from an ordinary deck of 52 cards. Find the probability of each event, showing your reasoning carefully. a. The first four cards are aces. b. Any four cards are the four aces.