Please calculate the four following questions. Show all calculations, determine the answer, and clearly explain the reasoning behind the answer.

You are interested in purchasing a vehicle that is selling for $30,000. You have $6,000 available, and you would like to borrow the remaining amount from a bank. The bank loan involves equal monthly payments, to be paid at the end of each month, over a four-year period at an interest rate of 5.9% per year compounded monthly. How much do you have to pay monthly? Show your calculation. Question 2 Today is your friend's 25th birthday, and she would like to start planning for her retirement. Starting her 66th birthday, she would like to withdraw $50,000 per year for 30 years. To support her retirement needs, she will be depositing money into an investment account on an annual basis. Her first deposit will be on her 26th birthday, while her last deposit will be on her 65th birthday. The interest rate is expected to remain constant at 5% per year compounded annually. Calculate the amount of annual deposit needed to support her retirement needs. Show your calculation. Question 3 You would like to purchase a bond with a maturity of 30 years, a face value of $1,000, and a coupon rate of 5.5% per year, paid semi-annually. Calculate the current price of the bond, assuming that the yield to maturity is 5.0% per year compounded semi-annually. Show your calculation. Question 4 You are considering a bond that has a face value of $1,000 and matures in 15 years. During the first three years, no coupons will be paid. Over the subsequent seven years, coupons will be paid semi-annually at the end of each period, with a coupon rate of 4.5% per year compounded semiannually. During the last five years, coupons will be paid semi-annually at the end of each period, with a coupon rate will be 6.5% per year compounded semi-annually. Calculate the current price of the bond, if the yield to maturity remains at 5.5% per year compounded semi-annually throughout the entire 15-year period. Show your calculation