Question

On January 1, 2021, the company obtained a $3 million loan with a 14% interest rate. The building was completed on September 30, 2022. Expenditures on the project were as follows:
January 1, 2021 $ 1,050,000March 1, 2021 870,000June 30, 2021 390,000October 1, 2021 690,000January 31, 2022 675,000April 30, 2022 990,000August 31, 2022 1,710,000On January 1, 2021, the company obtained a $3 million construction loan with a 14% interest rate. Assume the $3 million loan is not specifically tied to construction of the building. The loan was outstanding all of 2021 and 2022. The company’s other interest-bearing debt included two long-term notes of $4,900,000 and $6,900,000 with interest rates of 5% and 7%, respectively. Both notes were outstanding during all of 2021 and 2022. Interest is paid annually on all debt. The company’s fiscal year-end is December 31.
Required:
1. Calculate the amount of interest that Mason should capitalize in 2021 and 2022 using the weighted-average method.
2. What is the total cost of the building?
3. Calculate the amount of interest expense that will appear in the 2021 and 2022 income statements.

Answer 1

Answer:

1. Calculate the amount of interest that Mason should capitalize in 2021 and 2022 using the weighted-average method.

interest capitalized in 2021 = $166,189

interest capitalized in 2022 = $77,956

2. What is the total cost of the building?

total construction costs ($6,375,000) + capitalized interests ($244,145) = $6,619,145

3. Calculate the amount of interest expense that will appear in the 2021 and 2022 income statements.

interest expense 2021 = $1,148,000 - $166,189 = $981,811

interest expense 2022 = $1,148,000 - $77,956 = $1,070,044

Explanation:

a 14%, $3,000,000 loan obtained on January 1, 2021

building was completed on September 30,2022

January 1, 2021: $1,050,000 x 12/12 = $1,050,000

March 1, 2021: $870,000 x 10/12 = $725,000

June 30, 2021: $390,000 x 6/12 = $195,000

October 1, 2021: $690,000 x 3/12 = $172,500

total weighted average expense 2021 = $2,142,500

weighted average interest rate:

$3,000,000 x 14% = $420,000

$4,900,000 x 5% = $245,000

$6,900,000 x 7% = $483,000

average interest rate = $1,148,000 / $14,800,000 = 7.7568%

interest capitalized in 2021 = $2,142,500 x 7.7568% = $166,189

January 31, 2022: $675,000 x 8/9 = $600,000

April 30, 2022: $990,000 x 5/9 = $550,000

August 31, 2022: $1,710,000 x 1/9 = $190,000

total weighted average expense 2021 = $1,340,000

weighted average interest rate:

$3,000,000 x 14% = $420,000

$4,900,000 x 5% = $245,000

$6,900,000 x 7% = $483,000

average interest rate = $1,148,000 / $14,800,000 = 7.7568%

interest capitalized in 2022 = $1,340,000 x 7.7568% x 9/12 = $77,956