Question No. 02
A graduating MBA student has job offers from two brokerage firms. Firm #1 pays a straight salary of $70,000 (but no commission bonuses). Firm #2 pays a salary of $6,000 plus a commission bonus, with a fixed bonus schedule based on annual sales; the potential commission bonus for firm #2's job is as follows: $150,000 with a probability of 11%, $50,000 with a probability of 83%, $20,000 with a probability of 5%, and zero with a probability of 1%.
(a) What is the expected monetary value of Firm #2's job?
(b) The student claims to be indifferent between the two job offers. If this is true, is the student risk averse, risk loving, or risk neutral, and why?
The expected monetary value;
"0.11\u00d7150000=16500"
"0.83\u00d750000= 41500"
"0.05\u00d720000 =1000"
"0.01\u00d7 0 = 0"
The expected monetary value is the summation of all the commission bonuses plus the salary
The summation;
"16500+41500+1000+0+6000 =65000"
The Firm #1 job pays 70,000 as opposed to firm#2 job.
From the analysis, it is not true that the student is indifferent because there is a clearly better offer in firm #1 than there is in firm #2.
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