1. Plan your retirement. Upon graduation, suppose your income, I, and wealth, W, follow the following dynamics: I,t+1=1.02*I and W=s*I(1+r)*W

Where s is the savings rate (), an r is the rate of return on investment (. Suppose initial wealth is 0. Choose a realistic initial income level, savings rate, and rate of return. After 40 years, what is your wealth? Submit a graph of your wealth accumulation over 40 years.