Assume that you have been admitted to two different university educations (A and B). Education A is very advanced and demands a high effort from your side in order to get through it. However, if you do graduate you will get (with certainty) a very good job (interesting, stimulating and with a high salary); if you do not graduate from education A, you will have to settle with an uninteresting job with a low salary. Education B is relatively simple and everyone graduates who gets admitted and they get "satsifactory" jobs (pretty fun and with a medium salary). Assume that your life-time income with the best job (if you graduate from education A) is YA = $2, 000, 000, the life-time income from the bad job you have to settle for if you fail to graduate from education A is Y = $500, 000, and the life-time income you get from the pretty good job you get if you choose education B is YB = $1, 200, 000. Assume that to graduate from education A to 50% and that your utility function for life-time income is: U(Y) = In Y. you estimate your chances

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Assume that
you
have been admitted to two different university educations
(A and B). Education A is very advanced and demands a high effort from
your side in order to get through it. However, if you do graduate you will
get (with certainty) a very good job (interesting, stimulating and with
a high salary); if you do not graduate from education A, you will have
to settle with an uninteresting job with a low salary. Education B is
relatively simple and everyone graduates who gets admitted and they get
"satsifactory" jobs (pretty fun and with a medium salary). Assume that
your life-time income with the best job (if you graduate from education
A) is YA = $2, 000, 000, the life-time income from the bad job you have to
settle for if you fail to graduate from education A is Y
the life-time income you get from the pretty good job you get if you choose
education B is YB = $1, 200, 000. Assume that
to graduate from education A to 50% and that your utility function for
life-time income is: U(Y) = ln Y.
$500, 000, and
you
estimate
your chances
(a) Which education gives the highest expected life-time income?
(b) Which education will you choose if you strive to maximize your ex-
pected utility? Explain.
(c) What level of life-time income that you get from education B, would
make you indifferent between A and B? What is the minimum wage-
premium that you demand in order to choose education A in front
of B?
(d) Assume that there are many students in your situation, i.e., they
want to start education A, but worry that they may fail. Assume
Transcribed Image Text:Assume that you have been admitted to two different university educations (A and B). Education A is very advanced and demands a high effort from your side in order to get through it. However, if you do graduate you will get (with certainty) a very good job (interesting, stimulating and with a high salary); if you do not graduate from education A, you will have to settle with an uninteresting job with a low salary. Education B is relatively simple and everyone graduates who gets admitted and they get "satsifactory" jobs (pretty fun and with a medium salary). Assume that your life-time income with the best job (if you graduate from education A) is YA = $2, 000, 000, the life-time income from the bad job you have to settle for if you fail to graduate from education A is Y the life-time income you get from the pretty good job you get if you choose education B is YB = $1, 200, 000. Assume that to graduate from education A to 50% and that your utility function for life-time income is: U(Y) = ln Y. $500, 000, and you estimate your chances (a) Which education gives the highest expected life-time income? (b) Which education will you choose if you strive to maximize your ex- pected utility? Explain. (c) What level of life-time income that you get from education B, would make you indifferent between A and B? What is the minimum wage- premium that you demand in order to choose education A in front of B? (d) Assume that there are many students in your situation, i.e., they want to start education A, but worry that they may fail. Assume
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