A client deposits 150,000 in a bank, with the bank agreeing to pay 6% annual effective for three years. The client indicates that one third of the account balance will be withdrawn at the end of the first year and half of the account balance will be withdrawn at the end of the second year. The bank can invest in either one year or three year zero coupon bonds. The one year bonds yield 7% and the three year bonds yield 10%. 

Develop an investment program based on immunization.