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?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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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