PRINCIPLES OF ECONOMICS
14th Edition
ISBN: 2810015433483
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 17, Problem 5SCQ
Investors sometimes fear that a high-risk investment is especially likely to have low returns. Is this fear true? Does a high risk mean the return must be low?
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2. Question
The 'Democratic Family' consists of three members {mother m, father f, daughter
d}, that have different preferences with respect to how much money X € [0,8]
they think should be invested in the new family car. These preferences can be
represented by the following utility functions:
-
Mother m: um(X) = 2X - X²
Father f: uf(X) = 10X - X²
- Daughter d: ud(X) = 4X - X²
Calculate for each family member (f, m, d) the preferred amount of money
to invest in the new car denoted by X; for i = {m, f,d}. Assume that
(Xf, Xm, Xd) are the three alternatives on which the family must decide. Show
that each family member has rational preferences over this domain.
Preferences on the family level are determined by pairwise majority voting (all
family members vote on two alternatives). Derive the family preference and
check whether it is rational.
Assume that the final family decision is made by conducting sequential pair-
wise majority voting, where the loosing alternative is eliminated. Does…
3. Question
You invented a new lateral-flow test for asymptomatic Covid-19 detection,
where saliva is entered into a test-tube and then the result is shown directly
on the device. However, to save on costly chemicals you designed the tests
such that it always reports a negative test result. Assume that the incidence
rate is 5 per 1000 and that your test is used for detection of asymptomatic
cases (without symptoms).
(a) Calculate the probability that 100 randomly determined volunteers receive
a correct test result by using the AND-rule and the OR-rule. Can your
test be qualified as a diagnostic test?
(b) The health authorities are investigating the performance of your test.
Government guidelines require a specificity (conditional probability to re-
ceive a negative test result given that the test-taker is not infected with
COVID19) of at least 97% and a sensitivity (conditional probability to
receive a positive test result given that the test-taker is infected with
COVID-19) of at…
Chapter 17 Solutions
PRINCIPLES OF ECONOMICS
Ch. 17 - Answer these three questions about early-stage...Ch. 17 - From a firms point of view, how is a bond similar...Ch. 17 - Calculate the equity each of these people has in...Ch. 17 - Which has a higher average return over time:...Ch. 17 - Investors sometimes fear that a high-risk...Ch. 17 - What is the total amount of interest from a 5,000...Ch. 17 - If you receive 500 in simple interest on a loan...Ch. 17 - You open a 5-year CD for 1,000 that pays 2...Ch. 17 - What are the- most common ways for start-up firms...Ch. 17 - Why can firms not just use their own profits for...
Ch. 17 - Why are banks more willing to lend to...Ch. 17 - What is a bond?Ch. 17 - What does a share of stock represent?Ch. 17 - When do firms receive money from a stock sale in...Ch. 17 - What is a dividend?Ch. 17 - What is a capital gain?Ch. 17 - What is the difference between a private company...Ch. 17 - How do the shareholders who own a company choose...Ch. 17 - Why are banks called financial intermediaries?Ch. 17 - Name several different kinds of bank account. How...Ch. 17 - Why are bonds somewhat risky to buy, even though...Ch. 17 - Why should a financial investor care about...Ch. 17 - What is a mutual fund?Ch. 17 - What is an index fund?Ch. 17 - How is buying a house to live in a type of...Ch. 17 - Why is it hand to forecast future movements in...Ch. 17 - What are the two key choices U.S. citizens need to...Ch. 17 - Is investing in housing always a very safe...Ch. 17 - If you owned a small firm that had become somewhat...Ch. 17 - Explain how a company can fail when the safeguards...Ch. 17 - What are some reasons why the investment strategy...Ch. 17 - Explain why a financial investor in stocks cannot...Ch. 17 - Explain what happens in an economy when the...Ch. 17 - You and your friend have opened an account on...Ch. 17 - How do bank failures cause the economy to go into...Ch. 17 - The Darkroom Windowshade Company has 100,000...Ch. 17 - Imagine that a local water company issued 10,000...Ch. 17 - Suppose Ford Motor Company issues a five year bond...Ch. 17 - How much money do you have to put into a bank...Ch. 17 - Many retirement funds charge an administrative fee...
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- 3. Question You invented a new lateral-flow test for asymptomatic Covid-19 detection, where saliva is entered into a test-tube and then the result is shown directly on the device. However, to save on costly chemicals you designed the tests such that it always reports a negative test result. Assume that the incidence rate is 5 per 1000 and that your test is used for detection of asymptomatic cases (without symptoms). (a) Calculate the probability that 100 randomly determined volunteers receive a correct test result by using the AND-rule and the OR-rule. Can your test be qualified as a diagnostic test? (b) The health authorities are investigating the performance of your test. Government guidelines require a specificity (conditional probability to re- ceive a negative test result given that the test-taker is not infected with COVID19) of at least 97% and a sensitivity (conditional probability to receive a positive test result given that the test-taker is infected with COVID-19) of at…arrow_forwardI need expert handwritten solutionsarrow_forwardmachine A operated manually cost 2000naira has a life of 2 years, while an automatic machine B cost 5000naira but has a life of 4 years,operating cost for machine A is 4000naira per year while of machine B is 3000naira only, which should be purchased?consider 10% interest I need expert handwritten solutionsarrow_forward
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