Software Development and Project Management

In a project with a budget at completion (BAC) of ¥12 million, the current planned value (PV) is ¥6 million, the earned value (EV) ¥4.8 million and the actual cost (AC) ¥6 million. Assuming the current cost efficiency continues, what is the estimate at completion (EAC)?

  1. A¥13.2 million
  2. B¥15 million
  3. C¥17.25 million
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Answer: B. ¥15 million

The cost performance index is CPI = EV ÷ AC = 4.8 ÷ 6 = 0.8, meaning that each yen's worth of budgeted work costs 1.25 yen. If this efficiency continues, EAC = BAC ÷ CPI = 12 ÷ 0.8 = ¥15 million, which is expected to exceed the budget by ¥3 million. ¥13.2 million is AC + (BAC − EV), assuming the remaining work (BAC − EV = ¥7.2 million) proceeds on budget. ¥17.25 million is AC + (BAC − EV) ÷ (CPI × SPI) = 6 + 7.2 ÷ 0.64 (in millions of yen), assuming both the cost and schedule efficiencies affect the remaining work.

  • A. This is AC + (BAC − EV) = 6 + 7.2 (in millions of yen), assuming the remaining work proceeds on budget.
  • B. Correct. EAC = BAC ÷ CPI = 12 ÷ 0.8 = ¥15 million.
  • C. This is AC + (BAC − EV) ÷ (CPI × SPI), assuming that SPI = 0.8 also affects the remaining work.
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