Problem #1 Given the following time value of money scenarios answer the following questions, If $16,000 is needed at the end of three years, what amount must be deposited at the end of each of the three years? Assume interest rates are 12% (5 points) What is the present value of receiving $400 at the end of each year for three years assuming interest rates are 7%? (5 points) If you deposit $1,100 at the end of each year for three years, how much would you have at that point assuming interest rates are 12%? (5 points) You have won $1,000 in the lottery, which is supposed to be paid to you in 2 years. However, you can choose to take the lump sum today. How much would you receive today assuming interest rates are 7% (5 points) A healthcare organization has applied for a mortgage of $60,000 to finance the purchase of a facility. The bank will require annual payments of $7,047.55 at the end of each of the next 20 years. What is the interest rate on this mortgage? (5 points) A hospital investment committee is offered an investment opportunity with the guarantee that the investment will double in 5 years. Assuming annual compounding, what annual rate of return would this investment provide? (5 points)