Question

In: Finance

Your company faces three possible economic scenarios. Under each scenario, a NPV is estimated with a...

  1. Your company faces three possible economic scenarios. Under each scenario, a NPV is estimated with a probability of occurrence, as indicated in the table below.
Case Probabilty NPV
Worst 0.25 ($27.8)
Base 0.50 15.0
Best 0.25 57.8

  

  1. What is the expected NPV?   Formula: E(NPV)∑ (Pi * NPVi) (3 points)
  2. What is the standard deviation of NPV?

Solutions

Expert Solution

ans 1
Case Probability NPV Probability *NPV
Worst                           0.25    (27.80)                 (6.95)
Base                           0.50     15.00                   7.50
Best                           0.25     57.80                 14.45
Total                 15.00
therefore expected NPV =                 15.00
ans 3 computation of SD
Case Probability NPV probability*(NPV-15)^2
Worst                           0.25    (27.80)                               457.96
Base                           0.50     15.00                                        -  
Best                           0.25     57.80                               457.96
Total                               915.92
Variance =                             915.92
SD = 915.92^0.5                               30.26
Therefore Standard deviation of NPV=                               30.26

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