You are managing a renovation project of a house which is to be completed at a budget of $100,000. Earned value analysis shows that so far you have completed 40% of the work and spent $60,000.
How much more will it cost to complete the project if the cost performance remains unchanged?
Explanation:
The total budget, or budget at completion (BAC), is $100,000. The cost so far, or actual cost (AC), is $60,000. You have completed 40% of the work which is the earned value (EV), i.e., EV = 40% x $100,000 = $40,000.
Understanding what exactly the question asks is the key to answering the question correctly. The last sentence of the question starts with "How much more will it cost to complete the project...", implying we are requested to find the estimate to complete (ETC). The ETC can be calculated as follows:
ETC = EAC - AC, where the EAC is the estimate to complete.
Selecting the correct formual for the EAC is another key to answering this question correctly. The last sentence ofthe question ends with "...if the cost performance remains unchanged?", implying that the formula for the EAC should consider the cost performance index (CPI), i.e.:
EAC = BAC / CPI
The CPI, in turn, can be claculated using the following formula:
CPI = EV / AC = 40,000 / 60,000 = 0.67
The rest of the calculations are shown below:
EAC = 100,000 / 0.67 = 149,254
ETC = 149,254 - 60,000 = 89,254
Therefore, the cost to complete the renovation if the cost performance remains unchanged is $89,254