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 annual interest rate would you need in order for your investment of $2,200 to grow to $17,500 in 12 years?

2. You are offered an annuity that will pay you $200 per year for each of the next 7 years. You are trying to decide between this investment opportunity and another opportunity where you could earn 5% on your money with an equal amount of risk. What is the most you should pay for this annuity?

3. What is the present value of a perpetuity bond that will pay you $70 of interest per year at an interest rate of 6%?