In this hypothetical economy, there are two consumers living over two periods of life. Ann's incomes are $50,000 in both periods. Meanwhile, Bob earns nothing in the first period but $105,000 in the second period. Both of them can borrow or lend at the interest rater. For simplicity, assume that there are no taxes.

a)Assume that both Ann and Bob consume $50,000 in the first period and $50,000 in the second period. Write down the lifetime budget constraint for each consumer then calculate the interest rater. Describe the economic behaviour of each consumer.

(2.5 marks)

b)Suppose the interest rate increases. What will happen to Ann's consumption in the first period? Is Ann better off or worse off than before the interest rate rises? Explain your answer using an appropriate diagram

(2.5 marks)

c)What will happen to Bob's consumption in the first period when the interest rate increases? Is Bob better off or worse off than before the interest rate increases? Explain your answer using an appropriate diagram.

(2.5 marks)