Hi, Please answer questions 5-8 showing the process...

Phil can afford $160 a month for 5 years for a car loan. If the interest rate is 4.5 percent compounded monthly, how much can he afford to borrow to purchase a car? Atlas Insurance wants to sell you an annuity which will pay you $600 per quarterfor 25 years. You want to earn a minimum rate of return of 5.0 percent compounded quarterly. What is the most you are willing to pay as a lump sum today to buy this annuity? You are scheduled to receive annual payments of $8,500 for each of the next 28 years. The discount rate is 8.0 percent. What is the difference in the present value if you receive these payments at the beginning of each year rather than at the end of each year? You are planning to save for retirement over the next 35 years. To do this, you will invest $840 per month in a stock account and $440 per month in a bond account. The return of the stock account is expected to be 10.4 percent, and the bond account will earn 6.4 percent. When you retire, you will combine your money into an account with an annual return of 7.4 percent. (BONUS; +10%) Fred wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with a retirement income of $35,000 per month for 20 years, with the first payment received 30 years and 1 month from now. Second, he would like to purchase a condo in Palm Springs in 10 years at an estimated cost of $400,000. Third, after he passes on at the end of the 20 years of withdrawals, he would like to leave an inheritance of $700,000 to his nephew Ed. He can afford to save $4,200 per month for the next 10 years. If he can earn 9.6% before he retires and 6.5% after he retires, how much will he have to save each month in Years 11 through 30