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   Corporate Finance
    Topic Weight: 8%




© Pristine
This Presentation has been prepared to provide general information about the
Company to whom it is addressed. This Presentation does not purport to contain all
the information. The information provided in this presentation is meant only for
the recipient and is not to be shared with anyone else.
Net Present Value (NPV)

                           - CF0       CF1          CF2           CF3


                                 0      1            2               3
                                                                         where
                                                                              CF0 = the initial investment
       PV = - CF0                                                             outlay
                                                                              CFt = after tax cash flow at
       PV = CF1/(1+k)1                                                        time t
                                                                              k =required rate of return for
       PV = CF2/(1+k)2                                                        project

       PV = CF3/(1+k)3

     Sum of all this is
          NPV                        IF……      DECISION

                                     NPV > 0   The project may be accepted.
                NPV decision rule:
                                     NPV < 0   The project should be rejected.

                                     NPV = 0   The Company is indifferent in accepting or rejecting the
                                               project. The project does not add any value to shareholder.


Pristine   www.edupristine.com
Concept Checker
                      Project A                      Project B
              Year                CFAT        Year           CFAT
                1                 12,000       1             22,000
                2                 14,000       2             20,000
                3                 16,000       3             16,000
                4                 20,000       4             14,000
                5                 22,000       5             12,000

           Cash Flows             84,000                     84,000

           Initial Investment – 60,000

           After tax Cost of Capital is 10%
              NPV                   ?                            ?



       A. 1320.10 & 5429
       B. 1240.20 & 5563.20
       C. 1820.91 & 5563.20

Pristine    www.edupristine.com
Answer
        C
        Calculating NPV with the BA II PLUS professional calculator from Texas Instruments.
        Project A        Key Strokes               Explanation                         Display

                          [CF] [2nd] [CLR Work]     Clear memory registers              CFO = 0.0000

                          60,000 [+/-] [Enter]      Initial Investment (Cash outflow)   CFO = - 60,000.0000

                          [      ] 12,000 [Enter]   Period 1 cash flow                  CO1 = 12,000.0000

                          [      ]                  Frequency of cash flow 1            F01 = 1.0000

                          [      ] 14000 [Enter]    Period 2 cash flow                  CO2 = 14,000.0000

                          [      ]                  Frequency of cash flow 2            F02 = 1.0000

                          [      ] 16,000 [Enter]   Period 3 cash flow                  CO3 = 16,000.0000

                          [      ]                  Frequency of cash flow 3            F03 = 1.0000

                          [      ] 20,000 [Enter]   Period 4 cash flow                  CO4 = 20,000.0000

                          [      ]                  Frequency of cash flow 4            F04 = 1.0000

                          [      ] 22,000 [Enter]   Period 5 cash flow                  CO5 = 22,000.0000

                          [      ]                  Frequency of cash flow 5            F05 = 1.0000

                          [NPV] 10 [Enter]          10% discount rate                   I = 10.0000

                          [      ] [CPT]            Calculate NPV                       NPV = 1820.91
                                                                                                              Cont
Pristine   www.edupristine.com                                                                                 …
Cont……
        Project B – NPV for project B can be calculated in the same fashion as calculated for
       Project A.
                                 NPV
           Project A       1820.91
           Project B       5563.20




Pristine   www.edupristine.com

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CFA Corporate Finance

  • 1. www.edupristine.com Corporate Finance Topic Weight: 8% © Pristine This Presentation has been prepared to provide general information about the Company to whom it is addressed. This Presentation does not purport to contain all the information. The information provided in this presentation is meant only for the recipient and is not to be shared with anyone else.
  • 2. Net Present Value (NPV) - CF0 CF1 CF2 CF3 0 1 2 3 where CF0 = the initial investment PV = - CF0 outlay CFt = after tax cash flow at PV = CF1/(1+k)1 time t k =required rate of return for PV = CF2/(1+k)2 project PV = CF3/(1+k)3 Sum of all this is NPV IF…… DECISION NPV > 0 The project may be accepted. NPV decision rule: NPV < 0 The project should be rejected. NPV = 0 The Company is indifferent in accepting or rejecting the project. The project does not add any value to shareholder. Pristine www.edupristine.com
  • 3. Concept Checker Project A Project B Year CFAT Year CFAT 1 12,000 1 22,000 2 14,000 2 20,000 3 16,000 3 16,000 4 20,000 4 14,000 5 22,000 5 12,000 Cash Flows 84,000 84,000 Initial Investment – 60,000 After tax Cost of Capital is 10% NPV ? ? A. 1320.10 & 5429 B. 1240.20 & 5563.20 C. 1820.91 & 5563.20 Pristine www.edupristine.com
  • 4. Answer  C  Calculating NPV with the BA II PLUS professional calculator from Texas Instruments.  Project A Key Strokes Explanation Display [CF] [2nd] [CLR Work] Clear memory registers CFO = 0.0000 60,000 [+/-] [Enter] Initial Investment (Cash outflow) CFO = - 60,000.0000 [ ] 12,000 [Enter] Period 1 cash flow CO1 = 12,000.0000 [ ] Frequency of cash flow 1 F01 = 1.0000 [ ] 14000 [Enter] Period 2 cash flow CO2 = 14,000.0000 [ ] Frequency of cash flow 2 F02 = 1.0000 [ ] 16,000 [Enter] Period 3 cash flow CO3 = 16,000.0000 [ ] Frequency of cash flow 3 F03 = 1.0000 [ ] 20,000 [Enter] Period 4 cash flow CO4 = 20,000.0000 [ ] Frequency of cash flow 4 F04 = 1.0000 [ ] 22,000 [Enter] Period 5 cash flow CO5 = 22,000.0000 [ ] Frequency of cash flow 5 F05 = 1.0000 [NPV] 10 [Enter] 10% discount rate I = 10.0000 [ ] [CPT] Calculate NPV NPV = 1820.91 Cont Pristine www.edupristine.com …
  • 5. Cont……  Project B – NPV for project B can be calculated in the same fashion as calculated for Project A. NPV Project A 1820.91 Project B 5563.20 Pristine www.edupristine.com