Question

Hanson Company is constructing a building. Construction began on February 1 and was completed on December 31. Expenditures were $1,800,000 on March 1, $1,200,000 on June 1, and $3,000,000 on December 31. Hanson Company borrowed $1,000,000 on March 1 on a 5-year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 10%, 5-year, $2,000,000 note payable and an 11%, 4-year, $3,500,000 note payable. Compute the weighted-average interest rate used for interest capitalization purposes. (Round answer to 2 decimal places, e.g. 7.58%.)

Answer 1

The weighted-average interest rate used for interest capitalization purposes is 4.31%.

Step-by-step explanation:

To compute the weighted-average interest rate used for interest capitalization purposes, we need to calculate the weighted-average interest rate on the outstanding notes payable. Here is the calculation:

1. Calculate the interest expense on each note payable by multiplying the outstanding balance by the interest rate. For the 10% note, the interest expense is ($2,000,000 × 10%) = $200,000. For the 11% note, the interest expense is ($3,500,000 × 11%) = $385,000.
2. Calculate the weighted-average interest expense by multiplying the interest expense of each note by the proportion of the note to the total outstanding balance. The total outstanding balance is ($2,000,000 + $3,500,000) = $5,500,000. For the 10% note, the proportion is ($2,000,000 / $5,500,000) = 0.3636. For the 11% note, the proportion is ($3,500,000 / $5,500,000) = 0.6364. The weighted-average interest expense is (0.3636 × $200,000) + (0.6364 × $385,000) = $237,727.
3. Calculate the weighted-average interest rate by dividing the weighted-average interest expense by the total outstanding balance. The weighted-average interest rate is ($237,727 / $5,500,000) = 0.0431 or 4.31%.