Ted Houser wishes to accumulate a fund of $40,000 for the purchase of a house and lot. He plans to deposit $4,000 semiannually at the end of each 6 months. Assuming interest at 14% a year compounded semiannually, how many deposits of $4,000 each will be required, and what is the amount of the last deposit?

You decide to make monthly payments into a retirement fund earning 4.75% compounded monthly. Note: Payments are made at the end of each period.

To ensure his retirement income, a 40-year old man plans to purchase annuity when he turns 65. The annuity will pay $7,500 at the end of each month for 20 years, and the value is calculated at 5% interest, compounding monthly. To pay for this annuity, he starts making annual level deposits in a mutual fund, which earns 8% interest each year. He makes the first one right away, and makes deposits at the beginning of each year for 25 years. How much does he need to deposit each year in order to save enough to buy his annuity?