**Practice** I have been trying to practcie this question but I always seem to get it wrong  What is the expected final wealth of each agent? Pay attention to the names in each option! A.  Anna’s expected final wealth is 1440 and Bob’s expected final wealth is 980 B. Anna’s expected final wealth is 1020 and Bob’s expected final wealth is 1380 C. Anna’s expected final wealth is 1460 and Bob’s expected final wealth is 1105 D. Anna’s expected final wealth is 1140 and Bob’s expected final wealth is 1200 E. None of the options above

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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**Practice** I have been trying to practcie this question but I always seem to get it wrong 

What is the expected final wealth of each agent? Pay attention to the names in each option!
A.  Anna’s expected final wealth is 1440 and Bob’s expected final wealth is 980
B. Anna’s expected final wealth is 1020 and Bob’s expected final wealth is 1380
C. Anna’s expected final wealth is 1460 and Bob’s expected final wealth is 1105
D. Anna’s expected final wealth is 1140 and Bob’s expected final wealth is 1200
E. None of the options above

=
Anne has initial wealth of $1600 and Bob has initial wealth of $1225. For each of them, there is
a probability > 0.2 that their phones will be stolen. If a cell phone is stolen, they will have to
use some of their money to buy another one of the same model. Anne's smartphone costs $700
and Bob's smartphone costs $600. The risks for each agent are independent. Both agents' utility
functions are given by u(w) = √√w. You may use the following facts if necessary:
X x2
X
x²
х
x2
x x2
10
100
20 400
30
900
40 1600
11
121
21 441
31
961
41 1681
12
144
22 484
32
1024
42 1764
13
169
23 529
33
1089
43 1849
14 196
24 576
34
1156
44
1936
15 225
25 625
35
1225
45 2025
16 256
26 676
36
1296
46 2116
17 289
27 729
37 1369
47 2209
18 324
28 784
38 1444
48 2304
19 361
29 841
39 1521
49 2401
For example, if you want to know what is √1089, the answer is found in the third column: it is
33, since 332 = 1089.
Transcribed Image Text:= Anne has initial wealth of $1600 and Bob has initial wealth of $1225. For each of them, there is a probability > 0.2 that their phones will be stolen. If a cell phone is stolen, they will have to use some of their money to buy another one of the same model. Anne's smartphone costs $700 and Bob's smartphone costs $600. The risks for each agent are independent. Both agents' utility functions are given by u(w) = √√w. You may use the following facts if necessary: X x2 X x² х x2 x x2 10 100 20 400 30 900 40 1600 11 121 21 441 31 961 41 1681 12 144 22 484 32 1024 42 1764 13 169 23 529 33 1089 43 1849 14 196 24 576 34 1156 44 1936 15 225 25 625 35 1225 45 2025 16 256 26 676 36 1296 46 2116 17 289 27 729 37 1369 47 2209 18 324 28 784 38 1444 48 2304 19 361 29 841 39 1521 49 2401 For example, if you want to know what is √1089, the answer is found in the third column: it is 33, since 332 = 1089.
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