Bank A offers both deposits and loans at interest rate r = 2.5% compounded semi-annually. (a) If you deposit 200 in a Mile End Bank account, how much money will be in the account 6 years later? State your answer to the nearest pence. (b) What is the effective rate offered by Mile End Bank? State your answer as a percentage to three significant figures. Bank Bloffers an account with interest that is continuously compounded at rate 7% for the first year and 5% for the second year, after which the interest rate is continuously compounded at rate 1%. (c) Sketch the graph of the interest rate r(t) as a function of years t. (d) Find the yield curve r(t) for all t> 0. [6]