1. An annuity pays $10 per month for 50 years. What is the future value (FV) of this annuity at the end of that 50 years given that the interest rate is 5%?

2. Since your first birthday, your grandparents have been depositing $1000 into a savings account on every one of your birthdays. The account pays 4% interest annually. Immediately after your grandparents make the deposit on your 18th birthday, what will be the amount of money in your savings account?

3. You are considering purchasing a new home. You will need to borrow $250,000 to purchase the home. A mortgage company offers you a 15-year fixed rate mortgage (180 months) at 9% annual rate. If you borrow the money from this mortgage company, what will be your monthly mortgage payment? Make the amortization plan for this loan.

4. You have just agreed to work for PriceWaterhouseCoopers as an external consultant for the next 6 years. In your contract you specified that in one year time Price will pay you $36,000 for your consultant services. For your services in the following three years you will receive $50,000 each year. Compensation for the last two years of your contract will be $60,000 per year. The opportunity cost of capital is 8%.

1. How much is your contract worth today?
2. If you decide to save the proceeds from your contract, how much will you have at the end of the 6^th year?

5. You are borrowing money to buy a car. If you can make payments of $300 per month starting one month from now at an interest rate of 4%, how much will you be able to borrow for the car today if you finance the amount over four years?

6. You are planning to borrow $100,000 on a 5-year to invest in your start-up firm. Interest rate stated by the bank is 9%. You plan to make payments quarterly. What will be your quarterly payment? Make an amortization plan for this loan.