Answer to Question #268321 in Financial Math for lavhe

Question #268321

The net present value (NPV) of the Konka-Future Shop is R14 983 and the profitability index (PI) is 1,034. Approximately how much is the initial investment in the shop?

  • A. R14 983
  • B. R7 366
  • C. R440 676
  • D. R15 492
  • E. R14 490
1
Expert's answer
2021-11-21T15:22:54-0500

ProfitabilityIndex=Netpresentvalue+InitialinvestmentinitialinvestmentProfitability Index = \frac{Net present value + Initial investment}{initial investment}



PI=NPV+IVIVPI = \frac {NPV+IV}{IV}


Finding initial investment


1,034=14983+IVIV1,034 = \frac {14983 + IV}{IV}


1,034IV=14983+IV1,034IV = 14983+ IV


034IV=14983034IV = 14983


IV=14983034IV = \frac{14983}{034}


Initial investment = 440676440 676 (c.)




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