Assume that an individual expects to work for 40 years and then retire with a life expectancy of an additional 20 years.

Suppose also that the individual’s earnings increase at a rate of 3 percent per year and that the interest rate is also 3 percent (the overall price level is constant in this problem). What

(constant) fraction of income must the individual save in each working year to be able to finance a level of retirement income equal to 60 percent of earnings in the year just prior to retirement?