You have just been hired by your new employer and must choose between two retirement plan options: (1) the states defined benefit plan and (2) a defined contribution plan under which the employer will contribute each year an amount equal to 8 % of your salary. The defined benefit plan will provide annual retirement benefits determined by the following formula: 1.5% x years of service x salary at retirement. It is assumed that your salary will rise about 3% a year, and the interest rate the company use in their calculation is 6%. It is also assume that you will retire after 40 years and draw retirement pay for 20 years.

Required

1) You were hired at a beginning of 2017 at a salary of $100,000. If you choose the defined benefit plan and projections hold true, what will by your annual retirement pay? What is the present value of your retirement annuity as of the anticipated retirement date (end of 2056)?

2)Suppose instead that you choose the defined contribution plan. Assuming the rate of increase in salary is the same as the employer assumes and the rate of return on your retirement plan assets will be 6% compounded annually, what will be the future value of your plan assets as of the anticipated retirement date (end of 2056)? What will be your annual retirement pay (assuming continuing investments of remaining assets at 6%)?

3) Based on the numerical comparison, which plan would you choose?