Suppose that in a certain defined benefit pension plan (a) Employees work for 45 years earning wages

Question:

Suppose that in a certain defined benefit pension plan

(a) Employees work for 45 years earning wages that increase at a real rate of 2%

(b) They retire with a pension equal to 70% of their final salary. This pension increases at the rate of inflation minus 1%.

(c) The pension is received for 18 years.

(d) The pension fund’s income is invested in bonds which earn the inflation rate plus 1.5%.

Estimate the percentage of an employee’s salary that must be contributed to the pension plan if it is to remain solvent.

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