Suppose Don's wants to invest to build a condominium tower in Moscow. If he can get his friend Vlad to buy one of the units, he figures the investment will be a success (because all Vlaď's rich friends will want to buy one too) and his income will be $1,000,000 this year. However, there is a 60% chance that Vlad will not be interested. In that case, the investment will fail and Don's income will be only $100,000. Don's utility function is U=In(income) The British insurance company Lloyds of London will insure the investment and they will charge him a premium of $600,000. Graph the risk situation described above. Note the expected utility. What would be the actuarially fair premium for a policy that would pay Don $900,000 in the event the investment fails? а. b с. What is Don's Risk Premium?

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Problem 7.5P
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Suppose Don's wants to invest to build a condominium tower in Moscow. If he can get
his friend Vlad to buy one of the units, he figures the investment will be a success
(because all Vlad's rich friends will want to buy one too) and his income will be
$1,000,000 this year. However, there is a 60% chance that Vlad will not be interested. In
that case, the investment will fail and Don's income will be only $100,000.
Don's utility function is U=In(income)
The British insurance company Lloyds of London will insure the investment and they will
charge him a premium of $600,000.
Graph the risk situation described above. Note the expected utility.
What would be the actuarially fair premium for a policy that would pay Don
$900,000 in the event the investment fails?
а.
b
С.
What is Don's Risk Premium?
d.
Will Don buy the policy from Lloyd's of London? Explain why or why not?
Transcribed Image Text:Suppose Don's wants to invest to build a condominium tower in Moscow. If he can get his friend Vlad to buy one of the units, he figures the investment will be a success (because all Vlad's rich friends will want to buy one too) and his income will be $1,000,000 this year. However, there is a 60% chance that Vlad will not be interested. In that case, the investment will fail and Don's income will be only $100,000. Don's utility function is U=In(income) The British insurance company Lloyds of London will insure the investment and they will charge him a premium of $600,000. Graph the risk situation described above. Note the expected utility. What would be the actuarially fair premium for a policy that would pay Don $900,000 in the event the investment fails? а. b С. What is Don's Risk Premium? d. Will Don buy the policy from Lloyd's of London? Explain why or why not?
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