A contractor is bidding on a project with an estimated material cost of $150,000. If the historical material cost escalation rate is 3% annually and the project will start in 6 months, what should be the adjusted material cost estimate?
Correct Answer
D) $152,250
6 months = 0.5 years. Escalated cost = $150,000 × (1 + 0.03 × 0.5) = $150,000 × 1.015 = $152,250. The escalation should be prorated for the 6-month delay.
Why This Is the Correct Answer
The correct answer properly applies the time-proportional escalation formula for a 6-month delay. Since the project starts in 6 months (0.5 years), the 3% annual escalation rate must be prorated to 1.5% (3% × 0.5). The calculation $150,000 × (1 + 0.03 × 0.5) = $150,000 × 1.015 = $152,250 accurately reflects the expected material cost increase over the 6-month period. This method ensures the contractor accounts for inflation while not over-estimating costs for the actual time delay.
Why the Other Options Are Wrong
Option A: $150,000
This answer ($154,500) incorrectly applies the full 3% annual escalation rate without prorating for time: $150,000 × 1.03 = $154,500. This error assumes a full year of escalation when only 6 months will pass, resulting in an overestimate that could make the bid uncompetitive.
Option B: $151,500
This answer ignores escalation entirely, using the original $150,000 estimate. This approach fails to account for the 6-month delay and the 3% annual escalation rate, which would result in significant cost underestimation and potential financial losses for the contractor.
Memory Technique
Remember 'TIME MATTERS' - always prorate annual rates by the actual time fraction. Think: 6 months = half year = half the annual rate applied (3% ÷ 2 = 1.5% increase).
Reference Hint
Florida Building Construction Standards and Practices - Chapter on Cost Estimating and Project Management, or Construction Cost Estimating reference materials covering escalation calculations
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