Question: A worker aged 45 has a choice between 2 pension plans: Plan 1 The employer makes contributions of 15% of salary each year (with no
A worker aged 45 has a choice between 2 pension plans:
Plan 1 The employer makes contributions of 15% of salary each year (with no employee contribution). The contributions are made at the beginning of each year and earn 4% per year. The accumulated contributions at retirement are then used to purchase a monthly life annuity due.
Plan 2 The annual pension benefit is 2% of the 2-year final average salary for each year of service. These benefits are payable on a monthly basis, at the beginning of each month.
The following is provided:
i. a(12)65 = 10.14
ii. Annual salary increases by 4$ each year exactly on the participants's birthday and salary remains constant till the next year.
iii. Retirement occurs at age 65 only.
What are the monthly payments of plan 1 and plan 2?
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