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Econ 370
HW#4 (please type; diagrams may be drawn by hand)
III.
V.
You have lost
your homework, and need to decide if you should just re-do it, or look around
for it. You value your time at $10/hour
- that's about 83 cents for 5 minutes.
It will take you 1 hour to re-do the homework. Your searching abilities are as follows:
Total Time Spent (minutes) |
Chance of Finding HW |
Expected Marginal Benefit of Search |
5 |
25% |
.25*$10=$2.50 |
10 |
45% |
(.45-.25)*$10=$2.00 |
15 |
60% |
|
20 |
70% |
|
25 |
75% |
|
A.
Fill in the 3rd
column of the table. The "expected
marginal benefit of search" is just the value of the (complete) homework
times the marginal increase in the probability of finding it.
B.
What is your
marginal cost of searching for five minutes?
C.
Search theory
says you will set the marginal cost of search equal to the expected marginal
benefit of search. If this is true, how
long will you search for? (Feel free to
round to the nearest table entry).
D.
Suppose you
search until the marginal cost of search equals the expected marginal benefit,
but you still haven't found your homework.
Should you search some more, or give up?
Why?
VI.
How much time
do you spending "searching for" (selecting) your classes? Have you ever found yourself stuck in a bad
class because you did not search enough?
VII.
Watch (or
listen to) two commercials.
A.
Did they alert
people to the existence of a product, remind them about a product, provide information
about price, or provide information about product features?
B.
Did the ad try
to change your preferences?
C.
Did the
regulation of advertising appear to affect the presentation or content of the
commercial in any way? Think hard.
VIII.
Suppose people
buy "lightning insurance," which insures them against being struck by
lightning. Saving the life of a person
struck by lightning costs $1,000,000.
The odds of this happening to a given person is
1-in-a-million.
A.
What is the
"actuarially fair premium" for lightning insurance?
B.
Why must the
market premium somewhat exceed the actuarially fair premium?
C.
Suppose there
is a group of recreational lightning watchers.
Their chance of being struck by lightning is 1-in-a-100. What is their actuarially fair premium?
D.
Suppose 10% of
people are lightning watchers, while 90% are not lightning watchers. If the law requires insurers to charge them
the same premium, what will the actuarially fair premium be?
E.
If the premium
for lightning insurance exceeds $10, regular people refuse to buy it. What then will be the impact of banning
risk-adjusted premiums on the quantity and price of insurance sold?
IX.
Present a
signaling explanation of each of the following (the signaling explanation does
not have to be right - just try to come up with a plausible one). Be sure to specify: (a) What
"types" people are trying to distinguish, and (b) Why the different
types have different costs of doing the particular kind of signaling.
A.
Buying wedding
rings.
B.
Wearing a suit
for an interview.
C.
Having a big
military parade in
D.
Giving away
free samples of your product.
X.
A.
Which class in
college has given you the most
job-related skills?
B.
Which class in
college has given you the least
job-related skills?
C.
What percent
of the first class was "signaling" (as opposed to job-related
training)? What percent of the second
class was "signaling"?
D.
Puzzle: Why
don't employees give their employers money-back guarantees?