Finance questions attached. The questions are on Present Value, Loan Payments, Loan amortization schedule. Work must be shown on each of the questions.

Present value concept: Answer each of the following questions 1. a.)What single investment made today, earning 11% annual interest, will be worth $4,500 at the end of 4 years? b.) What is the present value of $4,500 to be received at the end of 4 years if the discount rate is 11%? c.)What is the most you would pay today for a promise to repay you $4,500 at the end of 4 years if your opportunity cost is 11%? d.) Compare, contrast, and discuss your findings in part a through c. 2. Loan Payment : Determine the equal, annual, end-of-year payment required each year over the life of the loan shown in the following table to repay it fully during the stated term of the loan. Principal Interest rate $66,000 13% Term of loan (years) 19 The amount of the equal, annual, end of year payment, CF, is $ ________ (round to nearest cent) 3. Loan amortization schedule Joan Messineo borrowed $11,00 at a 15% annual rate of interest to be repaid over 3 years. The loan is amortized into three equal, annual, end of year payments. a.) Calculate the annual, end of year loan payment b.) Prepare the loan amortization schedule showing the interest and principal breakdown of each of the three loan payments. c.) Explain why the interest portion of each payment declines with the passage of time. 4. NPV: Calculate the net present value for a 30 year project with an initial investment of $50,000 and a cash inflow of $8,000 per year. Assume that the firm has an opportunity cost of 13%. Comment on the acceptability of the project. The Project net present value is $___________ (Round to nearest cent) 5. Automated Food Distribution Corp. produces vending machine and places them in public buildings. The company has obtained permission to place one in a local library. The company makes 2 types of machines. One distributes soft drinks and the other snack foods. AFDC expects both machines to provide benefits over a 8-year period, and each has a required investment of $2,970. The firm uses a 10.6% cost of capital. Management has constructed the following table of estimates of annual cash inflows for pessimistic, most likely, and optimistic results. Soft drinks Initial investment 2,970 Snack foods 2,970 Outcome Annual cash inflows (CF) Pessimistic 480 400 Most likely 740 740 Optimistic 1,010 1,150 a.) The range of annual cash inflows for the soft drink machine is $_______? ( Round to nearest dollar)