You live for five periods, during which, respectively, you earn $100,200,300,200$ and 100 . (a) Draw a diagram of your lifecycle income. (b) If the interest rate is zero, and there is no inflation, what is your permanent income? (c) Using your diagram, or otherwise, identify your saving or dissaving in each period of your life. (d) If the real interest rate is positive instead of zero, what effect does this have on your initial estimate of your permanent income? Illustrate in your diagram.