You are planning to save for retirement over the next 35 years. To do this, you will invest $350 a month in a stock account and $225 a month in a bond account. The return of the stock account is expected to be 8% compounded monthly, and the bond account will pay 4.5% compounded monthly. When you retire, you will combine your money into an account with a 6.5% return compounded monthly. a. How much can you withdraw each month from your account assuming a 25-year withdrawal period? Please show your calculations. b. Suppose you expect two cash flows from your family trust: $100,000 in ten years and $125,000 in twenty years. You will invest the first cash flow in the stock account and the second in the bond account. Rather than making monthly payments to save for retirement, you decide to make one lump- sum payment today in the stock account to cover your retirement needs, i.e., to cover the gap between the amount required and your two investments. What amount do you have to deposit today to be able to make the desired withdrawals at retirement? Please show your calculations