Hello again, can you please take a look at this one? I do need to see all the work ( formulas).

Thank you.

1. What is the present value of a $569 perpetuity discounted back to the present at 3.52 percent 2. You plan to apply for a loan from Bank of America. The nominal annual interest rate for this loan is 13.73 percent, compounded daily (with a 365-day year). What is the effective annual rate, or EAR (annual percentage yield), of this loan? 3. You are considering an investment that has a nominal annual interest rate of 6.45 percent, compounded semiannually. Therefore, the effective annual rate, or EAR (annual percentage yield) is _____. 4. Assume that the inflation rate during the last year was 1.13 percent. US government T-bills had the nominal rates of return of 3.14 percent. What is the real rate of return for a T-bill? 5. Large-cap stocks had the nominal rates of return of 11.14 percent. The rate of inflation during the last year was 4.41 percent. What is the real rate of return for large-cap stocks? 6. You are given an investment to analyze. The cash flows from this investment are End of year 1. $2,836 2. $4,565 3. $880 4. $1,240 5. $998 What is the future value of this investment at the end of year five if 5.17 percent per year is the appropriate interest (discount) rate? 7. You have just purchased an investment that generates the cash flows shown below for the next four years. You are able reinvest these cash flows at 4.58 percent, compounded annually. How much is this investment worth at the end of year four? End of year 1. $418 2. $810 3. $620 4. $257 8. You have been offered the opportunity to invest in a project that will pay $2,868 per year at the end of years one through three and $9,466 per year at the end of years four and five. These cash flows will be placed in a saving account that pays 18.07 percent per year. What is the future value of this cash flow pattern at the end of year five? 9. Big Brothers, Inc. borrows $420,244 from the bank at 19.74 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be? 10. A commercial bank will loan you $54,840 for 8 years to buy a car. The loan must be repaid in equal monthly payments at the end of the month. The annual interest rate on the loan is 6.68 percent of the unpaid balance. What is the amount of the monthly payments? 11. You need to accumulate $78,102 for your son's education. You have decided to place equal yearend deposits in a savings account for the next 18 years. The savings account pays 6.54 percent per year, compounded annually. How much will each annual payment be? 12. You plan to buy the house of your dreams in 18 years. You have estimated that the price of the house will be $67,719 at that time. You are able to make equal deposits every month at the end of the month into a savings account at an annual rate of 6.24 percent, compounded monthly. How much money should you place in this savings account every month in order to accumulate the required amount to buy the house of your dreams? 13. You have decided to place $917 in equal deposits every month at the beginning of the month into a savings account earning 8.79 percent per year, compounded monthly for the next 13 years. The first deposit is made today. How much money will be in the account at the end of that time period? 14. What is the present value of the following annuity? $4,936 every half year at the beginning of the period for the next 13 years, discounted back to the present at 3.01 percent per year, compounded semiannually. 15. You plan to buy a house in 7 years. You want to save money for a down payment on the new house. You are able to place $156 every month at the end of the month into a savings account at an annual rate of 7.61 percent, compounded monthly. How much money will be in the account after you made the last payment? 16. You are going to save money for your son's education. You have decided to place $4,870 every half year at the end of the period into a saving account earning 13.67 percent per year, compounded semi-annually for the next 9 years. How much money will be in the account at the end of that time period? 17. A car dealership offers you no money down on a new car. You may pay for the car for 6 years by equal monthly end-of-the-month payments of $803 each, with the first payment to be made one month from today. If the discount annual rate is 17.54 percent compounded monthly, what is the present value of the car payments? 18. What is the present value of the following annuity? $532 every quarter year at the end of the quarter for the next 15 years, discounted back to the present at 19.37 percent per year, compounded quarterly? 19. What is the accumulated sum of the following stream of payments? $25,708 every year at the beginning of the year for 15 years, at 4.83 percent, compounded annually. 20. You have accumulated some money for your retirement. You are going to withdraw $85,211 every year at the beginning of the year for the next 24 years starting from today. How much money have you accumulated for your retirement? Your account pays you 14.25 percent per year, compounded annually. To answer this question, you have to find the present value of these cash flows