1. A 10-year annuity pays $2,150 per month, and payments are made at the end of each month. If the interest rate is 12 percent compounded monthly for the first five years, and 8 percent compounded monthly thereafter, what is the present value of the annuity?
2. You are planning to save for retirement over the next 30 years. To do this, you will invest $830 a month in a stock account and $430 a month in a bond account. The return of the stock account is expected to be 10.3 percent, and the bond account will pay 6.3 percent. When you retire, you will combine your money into an account with a 7.3 percent return.
How much can you withdraw each month from your account assuming a 25-year withdrawal period?