Question #217856

If the NPV (Net Present Value) of a shop is R195 000 and the profitability index is 1,24375, the initial investment in the shop is


[1] R86 908. [2] R800 000. [3] R195 000. [4] R156 784. [5] none of the above


Expert's answer

PI=(NPV+PI=(NPV+ initial investment)÷\div initial investment

1.24375=(195000+Initial investment)÷1.24375=(195 000+Initial \space investment)\divinitial investmentinitial\space investment

1.24375×initial investment=195000+initial investment1.24375 \times initial \space investment=195000+initial\space investment

1.24375×initial investment−initial investment=1950001.24375\times initial\space investment-initial\space investment=195000

initial investment(1.24374−1)=195000/0.24373=800065.6initial\space investment (1.24374 -1)=195000/0.24373=800065.6

so option  [2] R800 000 appears to be the correct answer as it is close to the calculated value.


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