nd State Probability of State NPV Estimate 17% $(298,000) m 50% $195,000 33% $395,000 icon in order to copy its contents into a spreadsheet.)

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
Section: Chapter Questions
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(Calculating the expected NPV of a project) Management at the Physicians' Bone and Joint (PB&J) Clinic is considering whether to purchase a newly developed MRI machine that the manufacturer tells them will provide the basis for better
diagnoses of foot and knee problems. The new machine is quite expensive but should last for a number of years. The clinic's CFO asked an analyst to work up estimates of the NPV of the investment under three different assumptions about the
level of demand for its use (high, medium, and low). To carry out the analysis, the CFO assigned a 50 percent probability to the medium-demand state, a 33 percent probability to the high-demand state, and the remaining 17 percent to the
low-demand state. After forecasting the demand for the machine based on the CFO's judgment and past utilization rates for MRI scans, the analyst made the following NPV estimates:
a. What is the expected NPV for the MRI machine based on the above estimates? How would you interpret the meaning of the expected NPV? Does this look like a good investment to you?
b. Assuming that the probability of the medium-demand state remains 50 percent, calculate the maximum probability you can assign to the low-demand state and still have an expected NPV of 0 or higher. (Hint: The sum of the probabilities
assigned to all three states must be 100 percent.)
Transcribed Image Text:(Calculating the expected NPV of a project) Management at the Physicians' Bone and Joint (PB&J) Clinic is considering whether to purchase a newly developed MRI machine that the manufacturer tells them will provide the basis for better diagnoses of foot and knee problems. The new machine is quite expensive but should last for a number of years. The clinic's CFO asked an analyst to work up estimates of the NPV of the investment under three different assumptions about the level of demand for its use (high, medium, and low). To carry out the analysis, the CFO assigned a 50 percent probability to the medium-demand state, a 33 percent probability to the high-demand state, and the remaining 17 percent to the low-demand state. After forecasting the demand for the machine based on the CFO's judgment and past utilization rates for MRI scans, the analyst made the following NPV estimates: a. What is the expected NPV for the MRI machine based on the above estimates? How would you interpret the meaning of the expected NPV? Does this look like a good investment to you? b. Assuming that the probability of the medium-demand state remains 50 percent, calculate the maximum probability you can assign to the low-demand state and still have an expected NPV of 0 or higher. (Hint: The sum of the probabilities assigned to all three states must be 100 percent.)
Data Table
Demand State
Probability of State
NPV Estimate
Low
17%
$(298,000)
Medium
50%
$195,000
High
33%
$395,000
(Click on the icon e in order to copy its contents into a spreadsheet.)
Print
Done
Transcribed Image Text:Data Table Demand State Probability of State NPV Estimate Low 17% $(298,000) Medium 50% $195,000 High 33% $395,000 (Click on the icon e in order to copy its contents into a spreadsheet.) Print Done
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