the final stage of Dmitri has a utility function U = W, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. a game show, the host offers Dmitri a choice between (A) $4 million for sure, or (B) a gamble that pays $1 million with probability 0.4 and $9 million with probability 0.6. Use the blue curve (circle points) to graph Dmitri's utility function at wealth levels of $0, $1 million, $4 million, $9 million, and $16 million. Utility (Thousands) 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0 2 4 8 6 10 12 14 Wealth (Millions of dollars) 16 18 20 V Utility Function ?

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9. Problems and Applications Q9
Dmitri has a utility function U = W, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. In the final stage of
a game show, the host offers Dmitri a choice between (A) $4 million for sure, or (B) a gamble that pays $1 million with probability 0.4 and $9 million
with probability 0.6.
Use the blue curve (circle points) to graph Dmitri's utility function at wealth levels of $0, $1 million, $4 million, $9 million, and $16 million.
Utility (Thousands)
5.0
4.5
4.0
3.5
3.0
2.5
2.0
1.5
1.0
0.5
0
0
2
4
8
6
10 12
14
Wealth (Millions of dollars)
16
18 20
V
Utility Function
?
Transcribed Image Text:9. Problems and Applications Q9 Dmitri has a utility function U = W, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. In the final stage of a game show, the host offers Dmitri a choice between (A) $4 million for sure, or (B) a gamble that pays $1 million with probability 0.4 and $9 million with probability 0.6. Use the blue curve (circle points) to graph Dmitri's utility function at wealth levels of $0, $1 million, $4 million, $9 million, and $16 million. Utility (Thousands) 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0 2 4 8 6 10 12 14 Wealth (Millions of dollars) 16 18 20 V Utility Function ?
True or False: Dmitri is risk averse.
True
Choice
False
Choice
offers Dmitri a higher expected prize. (Hint: The expected value of a random variable is the weighted average of the possible
outcomes, where the probabilities are the weights.)
offers Dmitri a higher expected utility.
Dmitri should pick choice
Transcribed Image Text:True or False: Dmitri is risk averse. True Choice False Choice offers Dmitri a higher expected prize. (Hint: The expected value of a random variable is the weighted average of the possible outcomes, where the probabilities are the weights.) offers Dmitri a higher expected utility. Dmitri should pick choice
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