Question 2
Probability of accident=p=0.30
Consumption in case of accident=C1=4000-3000=$1000
Utility in case of accident=U(1000)=1000^0.80=251.1886 utils
Probability of no accident=1-p=0.70
Consumption in case of no accident=C2=4000
Utility in case of no accident=U(4000)=4000^0.80=761.4616 utils
Expected consumption=p*C1+(1-p)*C2=0.30*1000+0.70*4000=$3100
Expected Utility=p*U(1000)+(1-p)*U(4000)=0.30*251.1886+0.70*761.4616=608.3797 or 608 utils
Question 3
Actuarially fair premium=Insurance amount*p=3000*30%=$900
Question 4
Probability of accident=p=0.30
Consumption in case of accident=C1=4000-3000-900+3000=$3100
Utility in case of accident=U(3100)=1000^0.80=620.9968 utils
Probability of no accident=1-p=0.70
Consumption in case of no accident=C2=4000-900=$3100
Utility in case of no accident=U(3100)=3100^0.80=620.9968 utils
Expected consumption=p*C1+(1-p)*C2=0.30*3100+0.70*3100=$3100
Expected Utility=p*U(3100)+(1-p)*U(3100)=U(3100)=620.9968 or 621 utils
Please use questions 2 & 3 to answer question 4-- show work clearly (I solved it...
Please answer question 4 Victoria has $2000 to put toward consumption this month. She believes there is a 40% chance she will have a bike accident this month, in which case she will incur medical costs of $1500 (leaving her with $500 to put toward consumption). Victoria's utility over consumption is given by where c is consumption (in dollars). In the absence of any insurance, the expected value of Victoria's consumption this month is $ 14 utility Victoria receives from...
Victoria has $2000 to put toward consumption this month. She believes there is a 40% chance she will have a bike accident this month, in which case she will incur medical costs of $1500 (leaving her with $500 to put toward consumption). Victoria's utility over consumption is given by where c is consumption (in dollars). In the absence of any insurance, the expected value of Victoria's consumption this month is $ utility Victoria receives from her consumption this month is...
Victoria has $2000 to put toward consumption this month. She believes there is a 40% chance she will have a bike accident this month, in which case she will incur medical costs of $1500 (leaving her with $500 to put toward consumption). Victoria's utility over consumption is given by where c is consumption (in dollars). In the absence of any insurance, the expected value of Victoria's consumption this month is $ utility Victoria receives from her consumption this month is...
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