Question #221769

If the NPV (net present value) of a shop is R195 000 and the profitability index is 1,2437, the initial investment is the is?


1
Expert's answer
2021-08-02T17:40:11-0400

PI=(NPV+i.investment)i.investmentPI=\frac{(NPV+ i.investment)}{i.investment}


1.2437=(195000+i.investment(investment)1.2437=\frac{(195 000+ i.investment}{( investment)}

1.2437=(195000+i.investment)initialinvestment1.2437=\frac{(195000+i.investment)}{initial investment}


1.2437×i.investment=195000+i.investment

i.investment(1.2437-1)= 195000.

0.2437i.investment=1950000.2437i.investment = 195000

i.investment = 1950000.2437=800164.136\frac{195000}{0.2437}= 800164.136


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