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Exercice 23
     • Projet A :
                                20 000
                          20 000 =
                                 1+i
                           1+i =1
                                 i=0


     • Projet B :
                               20 000      2200
                      20 000 =        +
                                1+i      (1 + i)2
                           20 = 20v + 2, 2v2
                    2, 2v2 + 20v − 20 = 0
Exercice 23 (suite..)
          – Solution 1 : v =   10
                               11


                                        1
                               comme i =  −1
                                        v
                                        11
                                     i=    − 1 = 0, 1 = 10%
                                        10
          – Solution 2 : v = −10    →      ne convient pas.
     • Projet C :
                                   11 344    11 344
                          20 000 =        +
                                    1+i     (1 + i)2
                          20 000 = 11 344v + 11 344v2
Exercice 23 (suite..)
          – Solution 1 :


                                   v  0, 9188187144
                                      1
                                   i = − 1 8, 84%
                                      v


          – Solution 2 : v   −1, 9188 (ne convient pas)

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Ch39 23

  • 1. Exercice 23 • Projet A : 20 000 20 000 = 1+i 1+i =1 i=0 • Projet B : 20 000 2200 20 000 = + 1+i (1 + i)2 20 = 20v + 2, 2v2 2, 2v2 + 20v − 20 = 0
  • 2. Exercice 23 (suite..) – Solution 1 : v = 10 11 1 comme i = −1 v 11 i= − 1 = 0, 1 = 10% 10 – Solution 2 : v = −10 → ne convient pas. • Projet C : 11 344 11 344 20 000 = + 1+i (1 + i)2 20 000 = 11 344v + 11 344v2
  • 3. Exercice 23 (suite..) – Solution 1 : v 0, 9188187144 1 i = − 1 8, 84% v – Solution 2 : v −1, 9188 (ne convient pas)