Annuities and perpetuities

1. Jose Luis has the opportunity to make an investment that requires a payment of $ 750 per year for the next twelve years. If the investment is made at an interest rate of 8%, what is the value of that investment today? 2. What is the present value of an investment that guarantees a payment of $ 22,500 per year for the next five years if the annual compound interest rate is 15%? 3. Roberto Homar is planning to invest $ 25,000 annually for the next seven years, an investment that will pay him an annual compound interest of 11.4%. How much money will Roberto have at the end of the seven years? 4. Cecilia Thomas is 25 years old and is planning to invest $ 3,000 annually in an IRA that pays 9.75% compounded annual interest, until she retires at age 65. How much money will Cecilia have for her retirement? 5. How much would you pay today for a perpetuity of $ 1,000 per year if the prevailing interest rate is 5.25%? 6. For how much would you buy a preferred stock that pays $ 5 annual dividend if you require a 12% annual interest yield? 7. Determine how much you would pay in total, interest and principal, at the end of your 30-year mortgage at 3.99% compounded monthly, if the monthly payment is $ 675.00. 8. How much would you have to pay monthly for the car you want to buy if the cost of the car is $ 30,000 and they finance it at 5.75% compound interest for six years without having to pay soon? 9. How much money will you have paid at the end of ten years if you pay $ 10,000 per equipment lease at the beginning of each year and the annual compound interest rate is 4.75%? 10. From the previous exercise, calculate how much you will pay at the end of the ten years, if you pay $ 10,000 annually at the end of each year instead of at the beginning of the year. Which option is best for you