Your firm has a retirement plan that matches all employee contributions with employer contributions on a two-to-one basis. That is if an employee contributes 1,000 per year, the company will add 2,000 to make the total contribution 3,000. The firm guarantees a fixed 6 per cent return on the funds. Alternatively, you can provide for retirement yourself, and you think you can earn 9 per cent on your money. The first contribution will be made one year from today. At that time and every year thereafter, you will put 2,500 into the retirement account, the same amount as you would have contributed to the company pension fund. You plan to retire in 30 years. Are you going to be better off participating in the company scheme or making your own arrangements? Explain the basis of your answer (ignore any tax considerations).