Use the same model economy as described in 14.3.

Data from 14.3

Consider a model economy in which each young person receives 200 units  of the consumption good. There are 50 young people born each period. The  total stock of fiat money is constant and equal to $10,000. Suppose a  person's preferences are such that they only want to consume when old. We  assume the probability that a person moves is 10 percent. The gross return on  capital is 1.10. A bank accepts deposits from all young people.
a. How many goods would each young person deposit? How many deposited goods would be held in the form of money? How many in capital?
b. Write down the budget constraint for a mover. What would old-age consumption be for a mover?
c. Write down the budget constraint for a nonmover. What would old age consumption be for a nonmover?