108,280.22
Explanation:
Certainty equivalent is solved by taking the inverse utility function from the expected utility of a random wealth variable
U(x) = x^1/4
U^-1(x) = x^4
U^-1(x) === x^4
CE(x) = x^4
Salary Bonus Total income U(x)= x^(1/4) P(x) U(x)*P(x)
80000 0 80000 16.82 1/7 2.4
80000 10000 90000 17.32 1/7 2.47
80000 20000 100000 17.78 1/7 2.54
80000 30000 110000 18.21 1/7 2.6
80000 40000 120000 18.61 1/7 2.66
80000 50000 130000 18.99 1/7 2.71
80000 60000 140000 19.34 1/7 2.76
Sum 18.14
CE(x) = 18.14^4
CE(x) = 108280.22
So therefore, the certainty equivalent of this job offer is 108,280.22