Computing payback period and internal rate of return


Question: Need assistance with computing Payback period (PP), Internal Rate of Return (IRR), and Net present Value (NPV) for two hypothetical public infrastructure projects that have the economic profile that follow:

                     OPTION A                                                  OPTION B

                  OPERATING AND                                          OPERATING AND

                 MAINTENANCE                                               MAINTENANCE 

YEAR      CAPITAL          COST ($)     BENEFITS ($)           CAPITAL        COST ($)         BENEFITS ($)

               COST ($)                                                          COST ($)        

(1)   2,000,000              0                  0                     2,500,000             0                        0

(2)   1,000,000            10,000            0                        500,000         50,000                750,000

(3)      500,000            70,000        120,000                                     100,000                750,000

(4)                               90,000       600,000                                     100,000                750,000

(5)                               90,000       800,000                                     100,000                750,000

(6)                               90,000       800,000                                     100,000                750,000    

(7)                               90,000       800,000                                     100,000                750,000

(8)                               90,000       800,000                                     100,000                750,000

(9)                              100,000      800,000                                     100,000                750,000

(10)                             100,000      500,000                                     100,000                300,000    


The Required Return for this project is 12% and the Critical Acceptance Level is 2.75 years.

1 Using excel to calculate each of the following; show the steps:

(a) Payback Period for Option A & Option B
(b) Internal Rate of Return for Option A & Option B
(c) Net Present Value for Option A & Option B

2 Using the calculations above, clearly present the results for Option A and Option B as though for an audience of city council members.

3 The city council says they can adopt only one of the projects this year. Pick one and justify the choice to the city council.

4 You are getting pushback from the city engineer that both projects are vital and should be done this year. You really want to find a way to make both projects happen. Provide a solution that will allow both projects to be implemented. 

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Finance Basics: Computing payback period and internal rate of return
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