Suppose that every consumer is born with zero nancial wealth and lives through three periods: youth, middle age, and retirement age. Consumers work in the first two periods and retire in the last one. Their income is $5 in the rst period, $25 in the second, and $0 in the last one. Inflation and expected inflation are zero, and the real interest rate is also zero. a. What is the present discounted value of future labour income at the beginning of life? What rs the highest sus- tainable level of consumption such that consumption is equal in all three periods? I]. For each age group, what' Is the amount of saving that allows consumers to maintain the constant level of consumption you found in (a)? (Hint..- Saving can be a negative number, if the consumer needs to borrow in order to maintain a certain level of consumption.) c. Suppose there are N people born each period. What is the total saving? (Hint.- Compute the total amount saved by the generations that save and subtract the total amount dissaved by the generations that dissave.) EXplain. d. What is the total nancial wealth in the economy? (Hint: Compute the financial wealth of people at the begin- ning of the rst period of life, the second period of life, and the third period of life. Remember that people can