Please answer the following time value of money questions below. Charting out each of the problem elements (ex. N = 10, PV = 500, etc.) will not only help you in answering the questions but will also assist me in following your calculations.

1. What is the present value of a 7-year annuity of $175 plus an additional lump sum of $1,000 at the end of year 7 if the interest rate is 5.5%?

2. What is the cost of an investment that will produce cash flows of $250 at the end of the next 5 years, then an extra lump sum payment of $500 at the end of the 5th year at an interest rate of 5%?

3. How much would you be willing to pay today for an investment that pays the following cash flows at the end of each of the next 4 years if your required rate of return is 9% per year?