1.11. You expect to have the given amount in an account with the given terms. Find how much you can
...
thdraw periodically in order to make the account last the specified amount of time. Round your answer to the nearest cent.
Account balance: $300,000
Interest rate: 4.45%
Frequency daily
Time: 22 years
Regular withdrawal amount: $
12. You expect to have the given amount in an account with the given terms. Find how much you can withdraw periodically in order to make the account last the specified amount of time. Round your answer to the nearest cent.
Account balance: $550,000
Interest rate: 3.35%
Frequency daily
Time: 25 years
Regular withdrawal amount: $
13. You deposit $5000 each month into an account earning 4.5% interest compounded monthly.
(a) How much will you have in the account in 25 years? $
(b) How much total money will you put into the account? $
(c) How much total interest will you earn over the 25 years? $
14. You deposit $5000 each quarter into an account earning 3.5% interest compounded quarterly.
(a) How much will you have in the account in 10 years? $
(b) How much total money will you put into the account? $
(c) How much total interest will you earn over the 10 years? $
15. Angela has $550,000 saved for retirement in an account earning 3.05% interest, compounded weekly. How much will she be able to withdraw each week if she wants to take withdrawals for 25 years? Round your answer to the nearest dollar.
$
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3.Question 1: What is a player’s « reaction function » in a Bertrand game ?
Question 2: What is a subgame
...
subgame perfect Nash equilibrium?
Question 3: In which situations should we need the mixed extension of a game?
Question 4: Find, if any, all Nash equilibria of the following famous matrix game:
L R
U (2,0) (3,3)
D (3,4) (1,2)
Question 5: What is the difference between a separating equilibrium and a pooling equilibrium
in Bayesian games?
Question 6: Give another name for, if it exists, the intersection of the players’ best-response
« functions » in a game?
Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation
with:
No Nash equilibrium One sub-optimal Nash equilibrium
One sub-optimal dominant profile No dominant profile
Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies:
True False
Question 9: All games have at least one pure strategy Nash equilibrium:
True False
Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash
equilibrium of all of its subgames:
Tr
2/2
Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure
Nash equilibrium payoffs:
True False
Question 12: Which of the following statements about dominant/dominated strategies is/are
true?
I. A dominant strategy dominates a dominated strategy in 2x2 games.
II. A dominated strategy must be dominated by a dominant strategy in all games.
III. A profile of dominant strategies must be a pure strategy Nash equilibrium.
IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games.
I, II and IV only I, II and III only II and III only
I and IV only I, III and IV only I and II only
Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash
equilibrium:
True False
Question 14: Consider the following 2x2 matrix game:
L R
U (3,2) (2,4)
D (-1,4) (4,3)
The number of pure and mixed Nash equilibria in the above game is:
0 1
2 3
Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M)
prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of
this treatment. In case of compliance, controlled by an authority in charge of health services
quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with
drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A
should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected
allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of
life.
Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game.
Question 16: Find, if any, the profile(s) of dominant strategies of this game.
Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game.
Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game.
Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw
the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash
equilibrium/equilibria (=
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4.the Michael family wish to purchase a spa pool and install this on the page SEO of their house they
...
have decided on the pool in the picture above the pool costs 6999 plus 219 for delivery it will cost 320 plus GST 15% to get an electrician to install a special plug for the pool the pool cover costs 479 however Mr Michael has negotiated a 20% discount the family have been given approval for a loan of up to 6999 Loan the bank to pay for the pool the lawn has an interest rate of 5.45% the loan & interests need to be repaid by the end of 12 months the family have saved 1000 to cover the cost of delivery installation and the cover they can spare one-tenth of their weekly income to repay the loan.can the Michael family afford to buy the spa pool you must show all working and state what you are calculating at each step
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5.i need a participation post answered please it needs to be 100 word response and substantive question
here is the post
Good
...
n
here is the post
Good evening Joseph,
Your forum post this week sparked my interest because of your two debatable topics. Your week 5 topic of "Should churches be taxed or exempted", will be an interesting read. As a person who grew up in the church and seeing what it offers, I am for churches being tax exempt. The money saved from taxes in the end helps the community.
Your second debatable really stuck a cord with me. I hate how reliant we as a society we have become on our cell phones. I use mine a lot, but have being trying for a few months now to be less reliant on it. Kids are at school to learn, not be on their cell phones. The teachers should be teaching and paying attention to the students and not on their cell phones. I am curious, when you say banned, so you mean not even on school property, or just not allowed to be used during school hours? My 13 year old son takes his cell phone to school in his back pack, but we have talked to him about when he can use it. It's mainly for after school activities, so he can let us know when he needs to be picked up.
I look forward reading your papers.
Thomas F. Wright
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6.I need a participation post answer quickly and needs to be substantive question and expected 100 words
here is the post:
Good
...
ds
here is the post:
Good evening Joseph,
Your forum post this week sparked my interest because of your two debatable topics. Your week 5 topic of "Should churches be taxed or exempted", will be an interesting read. As a person who grew up in the church and seeing what it offers, I am for churches being tax exempt. The money saved from taxes in the end helps the community.
Your second debatable really stuck a cord with me. I hate how reliant we as a society we have become on our cell phones. I use mine a lot, but have being trying for a few months now to be less reliant on it. Kids are at school to learn, not be on their cell phones. The teachers should be teaching and paying attention to the students and not on their cell phones. I am curious, when you say banned, so you mean not even on school property, or just not allowed to be used during school hours? My 13 year old son takes his cell phone to school in his back pack, but we have talked to him about when he can use it. It;s mainly for after school activities, so he can let us know when he needs to be picked up.
I look forward reading your papers.
Thomas F. Wright
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7.I need a participation post replied to expected word count is 100 words and it needs to be substantive question
here
...
ve question
here is the post:
Good evening Joseph,
Your forum post this week sparked my interest because of your two debatable topics. Your week 5 topic of "Should churches be taxed or exempted", will be an interesting read. As a person who grew up in the church and seeing what it offers, I am for churches being tax exempt. The money saved from taxes in the end helps the community.
Your second debatable really stuck a cord with me. I hate how reliant we as a society we have become on our cell phones. I use mine a lot, but have being trying for a few months now to be less reliant on it. Kids are at school to learn, not be on their cell phones. The teachers should be teaching and paying attention to the students and not on their cell phones. I am curious, when you say banned, so you mean not even on school property, or just not allowed to be used during school hours? My 13 year old son takes his cell phone to school in his back pack, but we have talked to him about when he can use it. It;s mainly for after school activities, so he can let us know when he needs to be picked up.
I look forward reading your papers.
Thomas F. Wright
View More
8.I need a participation post answered of a expected 100 words using a substantive question.
Here is the post:
Good evening,
...
s the post:
Good evening,
Your forum post this week sparked my interest because of your two debatable topics. Your week 5 topic of "Should churches be taxed or exempted", will be an interesting read. As a person who grew up in the church and seeing what it offers, I am for churches being tax exempt. The money saved from taxes in the end helps the community.
Your second debatable really stuck a cord with me. I hate how reliant we as a society we have become on our cell phones. I use mine a lot, but have being trying for a few months now to be less reliant on it. Kids are at school to learn, not be on their cell phones. The teachers should be teaching and paying attention to the students and not on their cell phones. I am curious, when you say banned, so you mean not even on school property, or just not allowed to be used during school hours? My 13 year old son takes his cell phone to school in his back pack, but we have talked to him about when he can use it. It;s mainly for after school activities, so he can let us know when he needs to be picked up.
I look forward reading your papers.
Thomas F. Wright
View More