1. (a) What annually compounded interest rate is equivalent to a monthly compounded rate of 7%? [5 points) (b) A company has recently set up a pension fund for its employees aiming to pay each of them $1,200 per month once they retire (over their remaining lifetime). In this com- pany employees retire at the age of 65. The company believes that employees who reach retirement age have a life expectancy of 20 more years. The company wishes to set aside a certain amount of money for each employee reaching retirement age so that the pension payments can be fully funded out of the capital and interest earned on it over the remaining expected lifetime of each pensioner. The company expects to obtain a 6% annual return (compounded monthly) on the money set aside for pension payments. If the company's assumptions are correct, how much money does the company need to set aside for each employee when they retire? (5 points)