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Hello All! Please help me to understand this (what seems to be) inconsistency.
A company with a June 30 fiscal year end entered into a $3,000,000 construction project on April 1 to be completed on September 30. The cumulative construction-in-progress balances at April 30, May 31, and June 30 were $500,000, $800,000, and $1,500,000 respectively. The interest rate on company debt used to finance the construction project was 5% from April 1 through June 30 and 6% from July through September 30. Assuming that the asset is placed into service on October 1, what amount of interest should be capitalized to the project on June 30?
When this project began, there were only 3 months left in the period (April 1 – June 30 = 3 months). When attempting to find the weighted average of expenditures (the part that must be figured out before we can solve for capitalized interest), I used the same reasoning that I use in other problems that require determination of weighted average expenditures. Why doesn’t it work here? As my calculation illustrates, the numerator is reflective the portion of the period that the expenditure existed. The denominator is reflective of the number of months from project begin til year end.
(500,000 x 3/3) + (300,000 x 2/3) + (700,000 x 1/3) =500,000 + 200,000 + 233,333 = 933,333 (weighted average expenditures)
933,333 x .05 = 46,666 (Capitalized interest)My answer of 46,666 is incorrect. The correct answer is 11,666. But how??
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