Sarasota Company is constructing a building. Construction began
on February 1 and was completed on December 31. Expenditures were
$5,400,000 on March 1, $3,600,000 on June 1, and $9,000,000 on
December 31.
Sarasota Company borrowed $3,000,000 on March 1 on a 5-year, 10%
note to help finance construction of the building. In addition, the
company had outstanding all year a 12%, 5-year, $6,000,000 note
payable and an 11%, 4-year, $10,500,000 note payable. Compute
avoidable interest for Sarasota Company. Use the weighted-average
interest rate for interest capitalization purposes.
(Round "Weighted-average interest rate" to 4 decimal
places, e.g. 0.2152 and final answer to 0 decimal places, e.g.
5,275.)
ANSWER:
Calculation of Avoidable Interest
Debt | Amount (A) | Interest rate (B) | Interest Amount (A * B) |
Specific Debt | $3,000,000 | 10% | $300,000 |
Remaining Loan ($6,600,000 - 3,000,000) | $3,600,000 | 11.36% (WN 2) | $408,960 |
Total (WN 1) | $6,600,000 | $708,960 |
The avoidable interest for Sarasota Company = $708,960
Working Notes:
WN 1)
Calculation of weighted average accumulated expenditure
Date | Amount (A) | Capitalization Period (Months) (B) | Expenditure [(A* B) / 12] |
Mar 1 | $5,400,000 | 10 | $4,500,000 |
Jun 1 | $3,600,000 | 7 | $2,100,000 |
Dec 31 | $9,000,000 | 0 | |
$18,000,000 | $6,600,000 |
WN 2)
Calculation of weighted average interest rate
Debt | Amount (A) | Interest rate (B) | Interest Amount (A * B) |
12% Note | $6,000,000 | 12% | $720,000 |
11% Note | $10,500,000 | 11% | $1,155,000 |
Total | $16,500,000 | $1,875,000 |
Weighted average interest rate = (1,875,000 / 16,500,000) * 100 = 11.36%
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