A patient with arthritis of the knee is planning to have a knee replacement. He has applied for a loan for this surgery: the loan has an annual interest rate of 6 percent. The artificial knee can function for 10 years before it needs to be replaced. Fee for knee replacement surgery are expected to grow at 5 percent annually. 1. Assume the artificial knee depreciates at a constant rate every year until the time of replacement, which is 10 years hence. What is the cost of this capital? 2. Suppose that instead of a loan, the patient plans to pay the surgery from his or her own savings. Assume that the bank’s interest rate on savings deposits equals its rate on loans. Does this change your answer to (b)? Why or why not? 3. Draw the COC (cost of capital) line on a graph, with health capital on the x-axis and the COC rate on the y-axis. What is the slope of the COC schedule? Explain why it looks the way it does.