You work for a company that provides a pension plan for which the company contributes 50% of the amount you contribute. For example, if you specify that $100 of your monthly salary is to go into the plan, the company will add $50 to make the total contribution of $150 per month. The plan guarantees an annual interest rate of 8% compounded monthly. If you believe you can safely earn 12% per year compounded monthly by investing the money yourself, is it worthwhile belonging to the company plan? Assume that you plan to retire in 30 years and that you will set aside $80 per month regardless of the approach used.