2. (20 points) A big deposit. You deposit $1.2 million into your account to cover expenses in the next 12 years. The account earns interest at the rate of 4%, compounded annually. Assume you expect the balance of the account to be $0 at the end of the 12 th year. a) What annual level of living expenses will your initial deposit support? (e.g., what equal annual withdrawal can you make for the next 12 years)? b) Suppose you realize your living expenses will increase at an annual rate of 2% due to inflation. Determine the updated annual spending plan in line with this model: how much can you withdrawal at the end of the first year, knowing that your withdrawal will increase by 2% each year? c) Suppose the initial deposit is still planned to support your equal annual expenses in the next 12 years as in part a), but you don't need to withdraw any money from your account for the first 6 years. You will withdraw from your account annually starting from the end of year 7 through the end of year 12. What annual level of living expenses will your initial deposit support? d) Based on part c), suppose now that your living expenses will increase at an annual rate of 2% due to inflation. Determine how much you can withdraw at the end of year 7 given that your withdrawals will increase in line with inflation from the end of year 7 through the end of year 12