uppose you have opened an MRI clinic and you are able to purchase a new MRI machine for $1 million. You plan to see 2000 patients per year, and you have determined that your MRI machine at that rate of use should last 10 years. Given a 5% rate of interest, use an annuity calculation to estimate the annual cost of an MRI per patient. Suppose that you could use the machine for 3 years and then sell it for $500,000. What would your annual cost per patient be in that case? Suppose you know that inflation is going to be 10% per year and that you will use the machine for 3 years and then be able to sell it for $800,000 (note that the $800,000 is measured in units of dollars 3 years from now). What then is your annual cost per patient and is your answer in dollars today or dollars three years from now?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 35P
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Suppose you have opened an MRI clinic and you are able to purchase a new MRI machine for $1 million. You plan to see 2000 patients per year, and you have determined that your MRI machine at that rate of use should last 10 years.

  1. Given a 5% rate of interest, use an annuity calculation to estimate the annual cost of an MRI per patient.
  2. Suppose that you could use the machine for 3 years and then sell it for $500,000. What would your annual cost per patient be in that case?
  3. Suppose you know that inflation is going to be 10% per year and that you will use the machine for 3 years and then be able to sell it for $800,000 (note that the $800,000 is measured in units of dollars 3 years from now). What then is your annual cost per patient and is your answer in dollars today or dollars three years from now?
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